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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Astron. Space Sci.</journal-id>
<journal-title-group>
<journal-title>Frontiers in Astronomy and Space Sciences</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Astron. Space Sci.</abbrev-journal-title>
</journal-title-group>
<issn pub-type="epub">2296-987X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1688155</article-id>
<article-id pub-id-type="doi">10.3389/fspas.2025.1688155</article-id>
<article-version article-version-type="Version of Record" vocab="NISO-RP-8-2008"/>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Original Research</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>Whistler wave mode generation via large amplitude steepened magnetic structures propagating through the Martian ionosphere</article-title>
<alt-title alt-title-type="left-running-head">Fowler et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fspas.2025.1688155">10.3389/fspas.2025.1688155</ext-link>
</alt-title>
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<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Fowler</surname>
<given-names>C. M.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<name>
<surname>Hanley</surname>
<given-names>K. G.</given-names>
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<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
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<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
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<contrib contrib-type="author">
<name>
<surname>Halekas</surname>
<given-names>J.</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2374514"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
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<contrib contrib-type="author">
<name>
<surname>Regan</surname>
<given-names>C. E.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="software" vocab-term-identifier="https://credit.niso.org/contributor-roles/software/">Software</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>McFadden</surname>
<given-names>J.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Mitchell</surname>
<given-names>D.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Andersson</surname>
<given-names>L.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1186657"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Bark</surname>
<given-names>D.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Harada</surname>
<given-names>Y.</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ma</surname>
<given-names>Y.</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2303283"/>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chaston</surname>
<given-names>C.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sanchez-Cano</surname>
<given-names>B.</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lester</surname>
<given-names>M.</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Brain</surname>
<given-names>D.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Mazelle</surname>
<given-names>C.</given-names>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="investigation" vocab-term-identifier="https://credit.niso.org/contributor-roles/investigation/">Investigation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Espley</surname>
<given-names>J.</given-names>
</name>
<xref ref-type="aff" rid="aff9">
<sup>9</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Benna</surname>
<given-names>M.</given-names>
</name>
<xref ref-type="aff" rid="aff9">
<sup>9</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="methodology" vocab-term-identifier="https://credit.niso.org/contributor-roles/methodology/">Methodology</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Data curation" vocab-term-identifier="https://credit.niso.org/contributor-roles/data-curation/">Data curation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="validation" vocab-term-identifier="https://credit.niso.org/contributor-roles/validation/">Validation</role>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Jolitz</surname>
<given-names>R.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Curry</surname>
<given-names>S.</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<role vocab="credit" vocab-identifier="https://credit.niso.org/" vocab-term="Writing &#x2013; review &amp; editing" vocab-term-identifier="https://credit.niso.org/contributor-roles/writing-review-editing/">Writing &#x2013; review &amp; editing</role>
</contrib>
</contrib-group>
<aff id="aff1">
<label>1</label>
<institution>Department of Physics and Astronomy, West Virginia University</institution>, <city>Morgantown</city>, <state>WV</state>, <country country="US">United States</country>
</aff>
<aff id="aff2">
<label>2</label>
<institution>Space Sciences Laboratory, University of California Berkeley</institution>, <city>Berkeley</city>, <state>CA</state>, <country country="US">United States</country>
</aff>
<aff id="aff3">
<label>3</label>
<institution>Department of Physics and Astronomy, University of Iowa</institution>, <city>Iowa City</city>, <state>IA</state>, <country country="US">United States</country>
</aff>
<aff id="aff4">
<label>4</label>
<institution>Laboratory for Atmospheric and Space Physics, Colorado University</institution>, <city>Boulder</city>, <state>CO</state>, <country country="US">United States</country>
</aff>
<aff id="aff5">
<label>5</label>
<institution>Department of Geophysics, Graduate School of Science, Kyoto University</institution>, <city>Kyoto</city>, <country country="JP">Japan</country>
</aff>
<aff id="aff6">
<label>6</label>
<institution>Department of Earth Planetary and Space Sciences, University of California Los Angeles</institution>, <city>Los Angeles</city>, <state>CA</state>, <country country="US">United States</country>
</aff>
<aff id="aff7">
<label>7</label>
<institution>School of Physics and Astronomy, University of Leicester</institution>, <city>Leicester</city>, <country country="GB">United Kingdom</country>
</aff>
<aff id="aff8">
<label>8</label>
<institution>IRAP, CNRS, UPS, CNES, University of Toulouse</institution>, <city>Toulouse</city>, <country country="FR">France</country>
</aff>
<aff id="aff9">
<label>9</label>
<institution>Goddard Space Flight Center, NASA</institution>, <city>Greenbelt</city>, <state>MD</state>, <country country="US">United States</country>
</aff>
<author-notes>
<corresp id="c001">
<label>&#x2a;</label>Correspondence: C. M. Fowler, <email xlink:href="christopher.fowler@mail.wvu.edu">christopher.fowler@mail.wvu.edu</email>
</corresp>
</author-notes>
<pub-date publication-format="electronic" date-type="pub" iso-8601-date="2026-05-22">
<day>22</day>
<month>05</month>
<year>2026</year>
</pub-date>
<pub-date publication-format="electronic" date-type="collection">
<year>2025</year>
</pub-date>
<volume>12</volume>
<elocation-id>1688155</elocation-id>
<history>
<date date-type="received">
<day>18</day>
<month>08</month>
<year>2025</year>
</date>
<date date-type="rev-recd">
<day>26</day>
<month>09</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>10</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Fowler, Hanley, Halekas, Regan, McFadden, Mitchell, Andersson, Bark, Harada, Ma, Chaston, Sanchez-Cano, Lester, Brain, Mazelle, Espley, Benna, Jolitz and Curry.</copyright-statement>
<copyright-year>2026</copyright-year>
<copyright-holder>Fowler, Hanley, Halekas, Regan, McFadden, Mitchell, Andersson, Bark, Harada, Ma, Chaston, Sanchez-Cano, Lester, Brain, Mazelle, Espley, Benna, Jolitz and Curry</copyright-holder>
<license>
<ali:license_ref start_date="2026-05-22">https://creativecommons.org/licenses/by/4.0/</ali:license_ref>
<license-p>This is an open-access article distributed under the terms of the <ext-link ext-link-type="uri" xlink:href="https://creativecommons.org/licenses/by/4.0/">Creative Commons Attribution License (CC BY)</ext-link>. The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</license-p>
</license>
</permissions>
<abstract>
<p>In December 2023 an interplanetary coronal mass ejection impacted Mars and left the magnetosphere in a highly disturbed state that was observed by NASA&#x2019;s Mars Atmosphere and Volatile EvolutioN (MAVEN) mission. One consequence of this space weather impact was the driving of large amplitude (<inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mo>&#x223c;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>50 nT) steepened magnetic structures that propagated into the dayside ionosphere. Here we focus on electromagnetic waves that were observed coincident with some of these magnetic structures. We demonstrate that these waves were the obliquely propagating whistler wave mode, confirmed by wavelet transform and minimum variance analyses. The waves were right hand quasi-circularly polarized with a frequency centered around 1 Hz, and demonstrated the typical dispersion features as a function of time and frequency that are associated with the whistler wave mode. The observations were consistent with the waves being generated by currents running along the steepened edges of the magnetic structures, in analogy to collisionless shocks. The whistler mode waves appeared to play an important role in the evolution of the magnetic structures, acting to smooth out the discontinuity between the up- and downstream sides of the steepened edges. While plasma conditions likely prevented the whistler mode waves from Landau damping with the ambient electrons at periapsis, such damping may have been possible at higher altitudes (600&#x2013;800 km). This study further highlights the importance of understanding the impact of space weather within our solar system, demonstrating that such events can impact planetary magnetospheres and the ionospheres embedded within them.</p>
</abstract>
<kwd-group>
<kwd>Mars</kwd>
<kwd>ionosphere</kwd>
<kwd>whistler wave</kwd>
<kwd>space weather</kwd>
<kwd>solar wind interaction</kwd>
</kwd-group>
<funding-group>
<funding-statement>The author(s) declare that financial support was received for the research and/or publication of this article. Work at WVU and SSL was supported by NASA funding for the MAVEN project through the Mars Exploration Program under grant number NNH10CC04C. B. Sanchez-Cano was supported through STFC Ernest Rutherford Fellowship ST/V004115/1. CM Fowler, BS-C and ML acknowledge support from the Royal Society International Exchanges Scheme 2022, IES/R3/223148. YH acknowledges support through JSPS KAKENHI Grant (25K00024, 25H00684, 25K01053, 22H01285), Mark ML acknowledges support through STFC grant ST/W00089X/1 and ESA contract RFP/3-17233/21/ES/JD.</funding-statement>
</funding-group>
<counts>
<fig-count count="8"/>
<table-count count="0"/>
<equation-count count="4"/>
<ref-count count="59"/>
<page-count count="16"/>
</counts>
<custom-meta-group>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Planetary Science</meta-value>
</custom-meta>
</custom-meta-group>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<label>1</label>
<title>Introduction</title>
<p>The magnetospheres and upper ionospheres of planets are collisionless environments where electromagnetic (EM) waves and forces play crucial roles in the transport of energy and momentum. A variety of different wave types, or &#x2018;modes&#x2019;, can exist within a plasma, depending upon the ambient plasma conditions. Each mode has a corresponding dispersion relation that describes the wave angular frequency as a function of wave number and the ambient plasma conditions. Many reviews of electromagnetic plasma waves exist, for example, <xref ref-type="bibr" rid="B48">Stix (1992)</xref>, <xref ref-type="bibr" rid="B6">Baumjohann and Treumann (2012)</xref>.</p>
<p>This study focuses on one specific wave mode, the whistler mode, which is comprised of right-handed circularly polarized electric field oscillations (<xref ref-type="bibr" rid="B6">Baumjohann and Treumann, 2012</xref>). The whistler mode typically propagates parallel along the local magnetic field although obliquely propagating whistler mode waves can exist (e.g., <xref ref-type="bibr" rid="B5">Artemyev et al., 2016</xref>). Whistler mode waves are typically associated with electron scale physics and can be generated through, for example, temperature anisotropies in the suprathermal electron distribution function (<xref ref-type="bibr" rid="B31">Kennel and Petschek, 1966</xref>; <xref ref-type="bibr" rid="B52">Treumann and Baumjohann, 1997</xref>).</p>
<p>Whistler mode waves are perhaps most famously known for their association with and generation by lightning at Earth. Whistler mode waves generated in one hemisphere of the terrestrial dipole magnetic field will propagate parallel to the local field into the conjugate hemisphere. Because the group velocity of the whistler mode wave is proportional to the square root of the wave frequency, higher frequencies propagate at higher velocities, and thus arrive at the conjugate hemisphere before lower frequencies. This high-to-low &#x2018;whistling&#x2019; characteristic is the inspiration for their name. We note here that in some nomenclature the terms &#x2018;whistlers&#x2019; or &#x2018;whistler mode waves&#x2019; refer specifically to whistler mode waves generated by lightning. In this study we do not adopt this terminology; while we will use these shorthand names, we do not mean that they are generated by lightning.</p>
<p>Whistler waves have been observed throughout the solar system and the following examples are in no way an exhaustive list. In the solar wind whistler waves can play crucial roles in the formation of the Halo, and evolution of the Strahl, electron populations (<xref ref-type="bibr" rid="B55">Vocks et al., 2005</xref>) and in the regulation of the solar wind heat flux (<xref ref-type="bibr" rid="B32">Lacombe et al., 2014</xref>). At unmagnetized planets - those that do not possess their own internally generated dipole magnetic fields such as Mars and Venus - whistler waves generated at the bow shock and magnetosheath can be a source of energy for the topside ionospheres, contributing to ionospheric structure and dynamics (e.g., <xref ref-type="bibr" rid="B50">Taylor et al., 1979</xref>; <xref ref-type="bibr" rid="B49">Strangeway, 1991</xref>; <xref ref-type="bibr" rid="B17">Fowler et al., 2020</xref>). At Venus, whistler waves observed within the magnetosphere and ionosphere have been invoked as evidence of lightning in the lower atmosphere (e.g., <xref ref-type="bibr" rid="B44">Russell et al., 2007</xref>), however other sources have been postulated to explain the observed whistler waves and this remains a topic under debate (e.g., <xref ref-type="bibr" rid="B35">Lorenz, 2018</xref>; <xref ref-type="bibr" rid="B23">George et al., 2023</xref>). Whistler waves are observed at unmagnetized and magnetized planetary bow shocks and play roles in shock structure and plasma transport (e.g., <xref ref-type="bibr" rid="B33">Le et al., 2013</xref>; <xref ref-type="bibr" rid="B41">Oka et al., 2017</xref>; <xref ref-type="bibr" rid="B28">Hull et al., 2020</xref>). Whistlers have also been observed at comets where they are generated at the steepened edges of magnetosonic waves, generated by the solar wind interaction with the cometary ionosphere (e.g., <xref ref-type="bibr" rid="B53">Tsurutani et al., 1989</xref>; <xref ref-type="bibr" rid="B43">Omidi and Winske, 1990</xref>).</p>
<p>More specifically at Mars, whistler waves have been observed throughout the magnetosphere, generated by a variety of mechanisms. <xref ref-type="bibr" rid="B7">Brain et al. (2002)</xref> demonstrated that low frequency (0.4&#x2013;2.3 Hz) whistler waves were consistently observed upstream of the Martian bow shock when the local magnetic field was connected to the shock front. <xref ref-type="bibr" rid="B27">Harada et al. (2016)</xref> reported whistler waves observed at 10s&#x2013;100 s Hz, throughout the Martian magnetosphere, generated by anisotropic electron distributions on open and closed magnetic field lines. The anisotropy was driven by the absorption of parallel traveling electrons below the electron exobase within the collisional atmosphere, a process that also occurs at intrinsically magnetized planets such as Earth. Anisotropic electron distributions in the Martian magnetotail current sheet have also been shown to generate whistler waves in the Martian magnetosphere (<xref ref-type="bibr" rid="B56">Wang et al., 2023</xref>).</p>
<p>This study focuses on whistler waves generated in the Martian ionosphere following the impact of an interplanetary coronal mass ejection (ICME) in December 2023. The impact of the ICME produced a highly disturbed magnetosphere, resulting in large amplitude magnetic structures with steepened leading edges propagating downward through the ionosphere (<xref ref-type="bibr" rid="B20">Fowler et al., 2026</xref>). Whistler waves at about 1 Hz were observed at the leading edges of the magnetic structures: while the authors presented a detailed study of the magnetic structures themselves, detailed analysis of the whistler waves was beyond the scope of that paper. We follow up on that study here with a detailed analysis of the whistler waves. We demonstrate that the whistler waves are likely generated by electrical currents running along the steepened edges, and that the whistlers likely play an important role in the evolution of the magnetic structures as they propagate downward through the ionosphere. While whistler waves have been observed at Mars before, they have not been observed in this context or via this generation mechanism, demonstrating the importance of understanding how space weather events can impact planetary systems.</p>
<p>The remainder of this paper is organized as follows: we describe the datasets analyzed in <xref ref-type="sec" rid="s2">Section 2</xref> and present the observations in <xref ref-type="sec" rid="s3">Section 3</xref>. We discuss our interpretations in <xref ref-type="sec" rid="s4">Section 4</xref> before concluding in <xref ref-type="sec" rid="s5">Section 5</xref>.</p>
</sec>
<sec id="s2">
<label>2</label>
<title>Datasets analyzed</title>
<p>This study analyzes data from NASA&#x2019;s Mars Atmosphere and Volatile EvolutioN (MAVEN) spacecraft, a mission designed to understand the solar wind interaction with Mars via <italic>in-situ</italic> and remote sensing measurements of the planetary magnetosphere and upstream solar wind (<xref ref-type="bibr" rid="B29">Jakosky et al., 2015</xref>). This study analyzes observations made on 2023&#x2013;12&#x2013;10, when MAVEN&#x2019;s elliptical orbit had periapsis and apoapsis altitudes 185 km and 4,475 km respectively. The elliptical orbit precesses over time and MAVEN has subsequently sampled the full magnetosphere since it began science operations at Mars in fall 2014. We utilize Level 2 science observations made by the Magnetometer (MAG, <xref ref-type="bibr" rid="B11">Connerney et al. (2015)</xref>), Langmuir Probe and Waves (LPW, <xref ref-type="bibr" rid="B4">Andersson et al. (2015)</xref>), SupraThermal And Thermal Ion Composition (STATIC, <xref ref-type="bibr" rid="B38">McFadden et al. (2015)</xref>), Solar Wind Electron Analyzer (SWEA, <xref ref-type="bibr" rid="B39">Mitchell et al. (2016)</xref>), Solar Wind Ion Analyzer (SWIA, <xref ref-type="bibr" rid="B24">Halekas et al. (2015)</xref>) and Neutral Gas and Ion Mass Spectrometer (NGIMS, (<xref ref-type="bibr" rid="B36">Mahaffy et al., 2015</xref>)).</p>
<p>MAG consists of two tri-axial fluxgate magnetometers each mounted on &#x2018;boomlets&#x2019; at the tip of the two solar arrays. MAG measures the 3D magnetic field vector at 32 Hz, shown in the Mars Solar Orbital (MSO) coordinate system in this paper. The MSO system is defined as X pointing Sunward along the Mars-Sun line; Y pointing opposite to Mars&#x2019; orbital motion about the Sun in the ecliptic plane, and Z completing the right handed coordinate system. Wavelet power spectra are produced using publicly available software provided by the instrument team that is based on the methods outlined in <xref ref-type="bibr" rid="B51">Torrence and Compo (1998)</xref>.</p>
<p>LPW consists of two cylindrical Langmuir probes, each mounted on the end of a <inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:mo>&#x223c;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>7 m boom. This study utilizes values of thermal electron density and temperature that are derived from measured current-voltage sweeps, using the methods described in <xref ref-type="bibr" rid="B13">Ergun et al. (2015)</xref> and <xref ref-type="bibr" rid="B15">Ergun et al. (2021)</xref>. Electric field observations from the LPW waves mode are not available during the time period studied, and more information on the LPW waves mode is available in <xref ref-type="bibr" rid="B16">Fowler et al. (2017)</xref>.</p>
<p>STATIC is an electrostatic top hat ion analyzer that incorporates a time of flight section allowing it to distinguish ion mass-per-charge. The instrument observes ions over the energy range 0.1 eV&#x2013;30 keV, and can distinguish the major ion species at Mars including H<sup>&#x2b;</sup>, He<sup>&#x2b;&#x2b;</sup>, O<sup>&#x2b;</sup>, O<sub>2</sub>
<sup>&#x2b;</sup> and CO<sub>2</sub>
<sup>&#x2b;</sup>. Electrostatic deflectors provide an energy dependent field of view of up to 360&#xb0; by 90&#xb0;. Derived values of ion density and temperature are utilized from STATIC L3 data files, descriptions of which can be found in <xref ref-type="bibr" rid="B18">Fowler C. et al. (2022)</xref> and <xref ref-type="bibr" rid="B25">Hanley et al. (2021)</xref> respectively.</p>
<p>SWEA is an electrostatic top hat electron analyzer that measures suprathermal electrons over the energy range 3 eV&#x2013;4 keV. Electrostatic deflectors provide a field of view of 360&#xb0; by 120&#xb0;. The magnetic topology provides information on the regions that magnetic field lines connect to, and is determined using publicly available software provided by the instrument team, based on the methods described in <xref ref-type="bibr" rid="B57">Weber et al. (2017)</xref> and <xref ref-type="bibr" rid="B58">Xu et al. (2019)</xref>. The suprathermal electron density and temperature are computed using publicly available software provided by the instrument team.</p>
<p>SWIA is an electrostatic top hat analyzer that measures ions over the energy range 25 eV to 20 keV. Electrostatic deflectors provide an energy dependent field of view of up to 360&#xb0; by 90&#xb0;. SWIA is designed to measure the solar wind and as such has fine energy and angular resolution in the Sunward direction. SWIA is able to distinguish solar wind protons and alphas via its fine energy resolution, but does not possess intrinsic mass-per-charge identification capabilities. The plasma density observed by SWIA is calculated using publicly available software provided by the instrument team.</p>
<p>NGIMS is a quadrupole mass spectrometer capable of measuring neutral and ion species at 1 AMU (per charge for ions) resolution, with individual species densities provided at a cadence of every 1&#x2013;2 s. Here we use measurements of the neutral atmosphere to provide context.</p>
</sec>
<sec id="s3">
<label>3</label>
<title>Observations</title>
<sec id="s3-1">
<label>3.1</label>
<title>Overview of case study orbit</title>
<p>An overview of the MAVEN orbit analyzed in this study is shown in <xref ref-type="fig" rid="F1">Figure 1</xref>. Panels A&#x2013;H show time series plasma observations made by MAVEN centered on periapsis (the solid orange vertical line). The bar above panel A marks the plasma regions sampled by MAVEN and is discussed below. The MAVEN orbit track is shown in various planes of the MSO coordinate system in panels O1-O4. MAVEN&#x2019;s orbit track is shown as the rainbow colored line in each panel, where the color maps to the rainbow colorbar beneath panel H. The whiskers in panels O1-O4 show the magnetic field vector in each plane, with the length of the whiskers proportional to the magnitude of the magnetic field. Light gray whiskers mark when MAVEN was behind the planet in each projection. The purple conic section in O2-O4 marks the statistical location of the bow shock as derived by <xref ref-type="bibr" rid="B54">Vignes et al. (2000)</xref>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Overview of the MAVEN orbit analyzed in this study. Panels show: <bold>(A,B)</bold> MAG magnetic field amplitude and vector; <bold>(C)</bold> cone angle between the magnetic field and &#x2b;X MSO direction; <bold>(D,E)</bold> SWIA ion energy spectrum and corresponding ion density; <bold>(F)</bold> LPW thermal electron density; <bold>(G,H)</bold> STATIC ion energy and mass spectra; (O1) to (O4): MAVEN&#x2019;s orbit in various planes of the MSO coordinate system. The orange vertical line marks periapsis; the dotted vertical lines show the time range covered by <xref ref-type="fig" rid="F2">Figure 2</xref>. Eflux has units of eV (eV sr cm<sup>2</sup> s)<sup>&#x2212;1</sup>. &#x2018;El. Time&#x2019; stands for elapsed time.</p>
</caption>
<graphic xlink:href="fspas-12-1688155-g001.tif">
<alt-text content-type="machine-generated">A multi-panel scientific plot shows data from a pressure pulse and inbound transition analysis across several parameters. Panels (A) to (H) display magnetic field strength, components, cone angle, ion energy, ion density, electron density, ion energy, ion mass. Side panels (01) to (04) are scatter plots in YZ, XY, XZ, and cylindrical views, mapping spatial distribution with colored trajectories. Time labels at the bottom indicate specific measurements, and a color bar signifies different regions such as solar wind and magnetosheath. The observations are from December 10, 2023.</alt-text>
</graphic>
</fig>
<p>The time series observations demonstrate that the plasma environment was highly disturbed throughout this time period due to the impact of the ICME 12&#x2013;13 h earlier at about 19:25 UTC on the previous day. At the earliest times shown in <xref ref-type="fig" rid="F1">Figure 1</xref>, prior to about 07:45 UTC, MAVEN sampled the undisturbed solar wind, marked by relatively little variation in the Interplanetary Magnetic Field (IMF) amplitude and vector (panels A and B), and steady solar wind velocity and density (panels D and E). The cone angle, the angle between the IMF and Mars-Sun line, was about 20&#xb0; (panel C) suggesting quasi-radial IMF conditions. Despite this quasi-radial IMF configuration the standard plasma boundaries and regions appear intact, contrary to other studies of the Mars system during radial IMF conditions (e.g., <xref ref-type="bibr" rid="B19">Fowler C. M. et al., 2022</xref>; <xref ref-type="bibr" rid="B8">Chaffin et al., 2022</xref>; <xref ref-type="bibr" rid="B59">Zhang et al., 2024</xref>). The cause of this discrepancy is unknown and is a topic for future work. The plasma boundaries are however compressed during this time period: in particular the bow shock, which was observed at around 07:45 (denoted by the increase in magnetic field amplitude and plasma density, panels A and E), lies well below the altitude that it is typically observed at, as shown in panels O2-O4. <xref ref-type="bibr" rid="B26">Hanley et al. (2024)</xref> showed that during this event the highly compressed magnetosheath drove enhanced rates of electron impact ionization in the dayside ionosphere, leading to atypically high densities of C<sup>&#x2b;</sup> and O<sup>&#x2b;&#x2b;</sup>.</p>
<p>Downstream of the bow shock, conditions within the dayside magnetosheath were highly variable and dynamic as a result of the ICME impact: magnetic fluctuations had amplitudes of over 150 nT (panels A and B), and the background plasma density reached atypically high values of over 100 cm<sup>-3</sup> (panels D and E). The planetary ionosphere was encountered by MAVEN at around 08:15, observed as the increase in thermal electron density (F) and transition from the shocked magnetosheath plasma dominated by protons, to the cold thermal plasma dominated by O<sub>2</sub>
<sup>&#x2b;</sup> (G, H). Evidence of a dynamic pressure pulse caught in action compressing the ionosphere was observed just prior to this transition (marked by the red bar segment above panel A), and is described in detail in <xref ref-type="bibr" rid="B20">Fowler et al. (2026)</xref>.</p>
<p>MAVEN sampled the dayside ionosphere traveling day to night; periapsis occurred at an altitude of 185 km at the terminator, at a solar zenith angle (SZA) of approximately 90&#xb0;. Large amplitude magnetic structures (amplitudes <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:mo>&#x223c;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>50 nT) were observed throughout periapsis and are visible centered around periapsis in the figure. These structures were driven by dynamic pressure pulses in the upstream region impacting the upper ionosphere, with the subsequent pressure pulses/magnetic structures propagating downward through the atmosphere. These structures were investigated in detail by <xref ref-type="bibr" rid="B20">Fowler et al. (2026)</xref>, who noted that whistler waves were associated with them, which are, themselves, the focus of this study. MAVEN exited the ionosphere on the nightside of the planet, sampling a disturbed flank magnetosheath.</p>
</sec>
<sec id="s3-2">
<label>3.2</label>
<title>Time series observations of whistler waves</title>
<p>A zoom in between the two blue dotted vertical lines in <xref ref-type="fig" rid="F1">Figure 1</xref> is shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. The time range encloses five of the large amplitude magnetic structures observed at periapsis, labeled by the vertical solid black lines 1&#x2013;5 (the dotted vertical line labelled &#x2018;1b&#x2019; is discussed below). These structures are characterized by steepened leading edges that had amplitudes on the order of 50 nT, which was about 50% of the background magnetic field strength (panel A). This background field strength was atypically large during this disturbed time period: the spacecraft was located at equatorial latitudes away from the strongest crustal magnetic fields (<xref ref-type="bibr" rid="B1">Acu&#xf1;a et al., 1999</xref>), confirmed by the blue line in panel A that shows the modeled crustal magnetic field contribution from <xref ref-type="bibr" rid="B40">Morschhauser et al. (2014)</xref>. As described in detail in <xref ref-type="bibr" rid="B20">Fowler et al. (2026)</xref>, these structures were compressive in nature and were thus assumed to be magnetosonic, propagating at approximately the Alfv&#xe9;n velocity, 2&#x2013;4 km s<sup>-1</sup> during the time range covered by <xref ref-type="fig" rid="F2">Figure 2</xref>. The magnetic field was oriented horizontally with respect to the planet&#x2019;s surface, consistent with the draped nature of the magnetic field about the dayside and terminator region at Mars (e.g., <xref ref-type="bibr" rid="B12">Crider et al., 2004</xref>). The structures, which were assumed to propagate perpendicular to the local magnetic field due to their magnetosonic nature, thus propagated vertically downward, washing over the spacecraft, which traveled at 4 km s<sup>-1</sup> horizontally at periapsis.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Zoom in at periapsis between the dotted vertical blue lines in <xref ref-type="fig" rid="F1">Figure 1</xref>. Panels show: <bold>(A,B)</bold> MAG magnetic field amplitude and vector; <bold>(C)</bold> the fluctuations in magnetic field, derived by high pass filtering panel <bold>(B)</bold> with a 60 s sliding window; <bold>(D&#x2013;F)</bold> wavelet transforms of the parallel and two orthogonal perpendicular components of the magnetic field, in the frame of the magnetic field; <bold>(G,H)</bold> SWEA suprathermal electron energy spectrum with corresponding ratio of perpendicular over parallel temperature; <bold>(I)</bold> ion and electron plasma densities measured by the STATIC, NGIMS and LPW instruments; <bold>(J)</bold> ion and electron temperatures measured by the STATIC and LPW instruments. &#x2018;B power&#x2019; has units of T<sup>2</sup>Hz<sup>-1</sup>. The dotted vertical line labeled 1b marks a possible sixth structure. The vertical solid orange line marks periapsis. The colorbar beneath panel J shows elapsed time (&#x2018;El. time&#x2019;) and maps directly to the colorbar under <xref ref-type="fig" rid="F1">Figure 1H</xref>. Panels (IN1) and (IN2) are inserts showing zoom-ins of panel C, from between the pairs of dashed vertical blue lines. The solid vertical black lines labeled 1&#x2013;5 mark steepened edges of five magnetic structures. The dotted vertical lines within IN1 and IN2 mark the 2 s time range that MVA is performed over, with those results shown in <xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F4">4</xref> respectively. The &#x2018;christmas tree&#x2019; like patterns observed coincident with each steepened edge (in particular 2, 4 and 5) are the typical artifacts obtained when wavelet analysis is performed on a step function-like signal. </p>
</caption>
<graphic xlink:href="fspas-12-1688155-g002.tif">
<alt-text content-type="machine-generated">Graphs display magnetic field and plasma data over time, labeled IN1 and IN2. Panels A to J show magnetic field amplitude, components, fluctuations, wavelet transforms for the parallel and two perpendicular components to magnetic field, electron energy spectrum, electron temperature anisotropy, plasma density and plasma temperature. Color-coded lines represent different components. Data spans time units and illustrates fluctuations in measurements.</alt-text>
</graphic>
</fig>
<p>While the large amplitude structures were produced by enhancements primarily in the Bx MSO component (panel B), higher frequency and smaller amplitude oscillations were observed in all three components of the magnetic field, particularly surrounding structure one and ahead of the leading edge for structure three (panel C). The time series data shown in panel C were calculated by high pass filtering each component of the time series magnetic field observations with a 60 s sliding window. This was achieved by subtracting the average magnetic field amplitude across each window, from the value of magnetic field amplitude at the mid-point of each window. This sliding window length was chosen to encompass approximately a single structure in time. We tested window lengths of 10, 20, 30 and 60 s; our results and interpretations do not vary with window length. Zoom-ins of these higher frequency oscillations are shown in the inserts at the top of the figure, IN1 and IN2. The inserts span 25 s of observations, from between the two sets of dashed blue vertical lines in the main figure. IN1 spans the region ahead of the leading edge of structure 3, and all three components of the magnetic field show &#x2018;clean&#x2019; sinusoidal oscillations that as we shall demonstrate are whistler waves. IN2 spans structure four; these oscillations are less clearly sinusoidal in nature and as we shall demonstrate are not indicative of whistler waves.</p>
<p>The data in panel C were rotated into the frame of the mean magnetic field using the same 60 s sliding window; the resulting orthogonal vector consists of one component parallel to the magnetic field (&#x2018;B<sub>para</sub>&#x2019;) and two perpendicular to it (&#x2018;B<sub>perp1</sub>&#x2019; and &#x2018;B<sub>perp2</sub>&#x2019;). Wavelet transforms were computed for each of these rotated time series data and are shown in panels D&#x2013;F. The distinct, time dispersed nature of the whistler wave mode is observed in all three components, coincident with the higher frequency fluctuations (panel C), observed centered on structure one, and ahead of the leading edge of structure three. These fluctuations were centered at about 1 Hz and spanned frequencies from <inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:mo>&#x223c;</mml:mo>
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</inline-formula>0.1 Hz up to a few Hz. The wavelet transforms were performed over a wider time period than shown here to ensure that cone of influence effects were not present. Greater wave power was observed in the parallel component, and the two perpendicular components were not equal. The implications of these characteristics are discussed in combination with Minimum Variance Analysis, in <xref ref-type="sec" rid="s3-3">Section 3.3</xref>.</p>
<p>The remaining panels G&#x2013;J show the background plasma conditions. The suprathermal electron energy spectrogram is shown in panel G, with panel H showing the corresponding ratio of parallel to perpendicular temperature, which is slightly below one demonstrating that the suprathermal electron distribution is slightly anisotropic in the parallel direction relative to the local magnetic field. The thermal electron and ion densities are shown in panel I. <xref ref-type="bibr" rid="B20">Fowler et al. (2026)</xref> demonstrated that the troughs in ion density observed at the leading edges of each magnetic structure were associated with the squeezing of ionospheric plasma tailward as the structures propagated downward through the ionosphere. For this study, the plasma densities provided information on the ambient background conditions.</p>
</sec>
<sec id="s3-3">
<label>3.3</label>
<title>Minimum Variance Analysis</title>
<p>Minimum Variance Analysis (MVA) of 3D magnetic field time series observations aid in the identification of wave modes that are present. The method described by <xref ref-type="bibr" rid="B46">Sonnerup (1998)</xref> was applied to the MAVEN magnetic field measurements shown in <xref ref-type="fig" rid="F2">Figure 2B</xref> to confirm the presence of whistler waves at magnetic structures one and three, and their absence at two, four and five. The MVA was performed over a 2 s window that captured about three oscillations of the whistler waves. Here we show examples calculated from between the dotted vertical lines in <xref ref-type="fig" rid="F2">Figure 2</xref> IN1 and IN2: the results are shown in <xref ref-type="fig" rid="F3">Figure 3</xref> (with whistler waves) and <xref ref-type="fig" rid="F4">Figure 4</xref> (without whistler waves).</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Results of Minimum Variance Analysis performed on 2 s of magnetic field observations, confirming the presence of whistler waves. Panels show: <bold>(A&#x2013;D)</bold> time series of the minimum (B<sub>1</sub>), intermediate (B<sub>2</sub>) and maximum (B<sub>3</sub>) variance components, and the magnetic field amplitude. <bold>(E,F)</bold> hodograms for various combinations of B<sub>1</sub>, B<sub>2</sub> and B<sub>3</sub>, where the cross and plus symbols mark the start and end points respectively. Eigenvalues (e<sub>1</sub>, e<sub>2</sub>, e<sub>3</sub>), ratios of specific pairs of e, average magnetic field amplitudes for each MVA component, and the corresponding vector directions for each component, are shown beneath panel F. The MVA is performed across the time range marked in <xref ref-type="fig" rid="F2">Figure 2</xref> (IN1).</p>
</caption>
<graphic xlink:href="fspas-12-1688155-g003.tif">
<alt-text content-type="machine-generated">Graphs and plots displaying magnetic field data. Panels A, B, C show time-series data for components \(B_1\), \(B_2\), \(B_3\) in nanoteslas across a time frame of approximately two seconds from 2023-12-10 08:26:54.00 UTC. Panel D shows the magnitude \(&#x7c;B&#x7c;\) over the same period. Panels E and F are scatter plots, with panel E plotting \(B_3\) against \(B_1\), and panel F plotting \(B_3\) against \(B_2\). Numerical values and statistical measures are provided for each component.</alt-text>
</graphic>
</fig>
<p>Both Figures are arranged the same: panels A&#x2013;C show the minimum, intermediate and maximum variance directions (B<sub>1</sub>, B<sub>2</sub> and B<sub>3</sub> respectively), and panel D shows the magnetic field amplitude, all as functions of time. Panels E and F show hodograms of the various MVA components, where the cross and plus symbols mark the start and end of the time series respectively. The corresponding eigenvalues (and ratios of specific pairs) are shown beneath panel F and demonstrate reliable results.</p>
<p>
<xref ref-type="fig" rid="F3">Figure 3F</xref> shows three, 360&#xb0; rotations that were right-hand quasi-circularly polarized, between the intermediate and maximum components. There was a gradual increase in B<sub>3</sub> across the time range which offset the three rotations. For each of these rotations, panel E shows an almost vertical elliptical trace between the intermediate and minimum components.</p>
<p>These characteristics, in combination with the wavelet analysis shown in <xref ref-type="fig" rid="F2">Figure 2</xref>, are consistent with the observation of obliquely propagating whistler waves observed in the plasma rest frame. The wavelet analysis demonstrated greater wave power in the parallel direction, which implies the oblique component of propagation. The wave power in the perpendicular wavelet transforms was not equal, suggesting at best quasi-circular polarization. These interpretations are consistent with the hodograms presented in <xref ref-type="fig" rid="F3">Figure 3</xref>. In addition, wave polarization analysis using the techniques described in <xref ref-type="bibr" rid="B9">Chaston et al. (1998)</xref> were used to derive the wave normal angle of propagation for the observed whistlers. These ranged from about 60&#xb0; to 90&#xb0;, indicating that these were highly oblique whistler waves. The wave polarization analysis results are not shown here as they are complimentary analysis and consistent with the wavelet transforms and Minimum Variance Analysis.</p>
<p>For <xref ref-type="fig" rid="F4">Figure 4</xref>, Panel F does not show any clear rotation, and panel E does not show any clearly elliptical traces. This lack of features is consistent with the absence of whistler waves.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Results of Minimum Variance Analysis performed on 2 s of magnetic field observations, demonstrating a lack of whistler waves. Figure layout is the same as <xref ref-type="fig" rid="F3">Figure 3</xref>, except that the MVA is performed across the time range marked in <xref ref-type="fig" rid="F2">Figure 2</xref> (IN2).</p>
</caption>
<graphic xlink:href="fspas-12-1688155-g004.tif">
<alt-text content-type="machine-generated">Four line graphs labeled (A) to (D) show magnetic field components \( B_1 \) to \(&#x7c;B&#x7c;\) over time in seconds. Two scatter plots labeled (E) and (F) depict relationships between \( B_1 \), \( B_2 \), and \( B_3 \) with marked data points. Notations and average values for \( B_1 \), \( B_2 \), and \( B_3 \) are provided alongside eigenvalues and vectors. Center time is December 10, 2023, at 08:28:21 UTC.</alt-text>
</graphic>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<label>4</label>
<title>Discussion</title>
<p>The time series observations and wavelet analysis shown in <xref ref-type="fig" rid="F2">Figure 2</xref>, combined with the MVA results shown in <xref ref-type="fig" rid="F3">Figures 3</xref>, <xref ref-type="fig" rid="F4">4</xref>, present strong evidence that whistler waves were observed coincident with magnetic structures one and three. In this section we identify potential generation mechanisms of these whistlers. We then discuss the role the whistler waves played in the evolution of the observed magnetic structures, and the impact that the whistler waves may have had on the ambient plasma.</p>
<sec id="s4-1">
<label>4.1</label>
<title>Generation mechanism of observed whistler waves</title>
<p>Because the whistler waves are observed centered around or at the leading edges of magnetic structures one and three, it is reasonable to assume that their generation is related to these same structures. The structures in <xref ref-type="fig" rid="F2">Figure 2</xref> are observed at altitudes between 185 and 200 km which is within the upper exobase region. The exobase is the transition region from collision dominated photochemical processes below, to electromagnetic and transport dominated processes above (e.g., <xref ref-type="bibr" rid="B45">Schunk and Nagy, 2000</xref>). The dayside exobase region is typically located between about 180 and 220 km at Mars (<xref ref-type="bibr" rid="B30">Jakosky et al., 2017</xref>). The dominant neutral species measured by MAVEN at periapsis for this event was CO<sub>2</sub>, observed with densities ranging from about 4 &#xd7; 10<sup>7</sup> cm<sup>-3</sup> at magnetic structures one and five (the highest altitude structures shown in <xref ref-type="fig" rid="F2">Figure 2</xref>), peaking at periapsis to a density of about 2 &#xd7; 10<sup>8</sup> cm<sup>-3</sup> (not shown here). Using Tables 4.4&#x2013;4.6 from <xref ref-type="bibr" rid="B45">Schunk and Nagy (2000)</xref>, the O<sub>2</sub>
<sup>&#x2b;</sup> - CO<sub>2</sub> collision frequency <inline-formula id="inf5">
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</inline-formula> thus ranged from about 0.02 Hz to about 0.1 Hz (highest altitudes down to periapsis respectively). The electron&#x2014;CO<sub>2</sub> collision frequency was 10&#x2013;20 Hz.</p>
<p>The O<sub>2</sub>
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</inline-formula> was about 0.05 Hz throughout periapsis, relatively high due to the large background magnetic field amplitude of <inline-formula id="inf7">
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</inline-formula>100 nT. The electron gyro frequency <inline-formula id="inf8">
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</inline-formula> throughout periapsis, the electrons were always magnetized. At structure one, <inline-formula id="inf10">
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<p>The whistler waves observed here bear striking similarity to those observed by <xref ref-type="bibr" rid="B53">Tsurutani et al. (1989)</xref> at comet Giacobini-Zinner (GZ), which were also observed at the leading edges of steepened magnetosonic waves. They postulated several potential generation mechanisms for those whistler waves, which we summarize as two categories here. The first was wave generation via plasma instability related to the pickup of heavy cometary ions: this seems unlikely for our case as there are no heavy pickup ions at such low altitudes in the Martian ionosphere.</p>
<p>The second generation mechanism was made in analogy to collisionless shocks and based on work by <xref ref-type="bibr" rid="B47">Sonnerup and Ledley (1979)</xref> and <xref ref-type="bibr" rid="B42">Omidi and Winske (1988)</xref>. At their leading edges collisionless shocks are characterized by relatively steep gradients in magnetic field amplitude that can drive charge separation between ions and electrons across the shock front, due to differences in the ion and electron gyro radii. This charge separation sets up an electric field across the shock front that can drive currents along the shock surface (or steepened edges in our study) via <inline-formula id="inf12">
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</inline-formula> drifts. Given the similarities with the magnetic structures observed in this study - leading edges comprised of significant gradients in magnetic field strength within a mostly collisionless environment - such a mechanism seems feasible, at least for structure 1. The gyro radii of electrons and O<sub>2</sub>
<sup>&#x2b;</sup> within the 100 nT magnetic field just upstream of the magnetic structures were about 8 m and 1.5 km respectively. We used values of electron temperature <inline-formula id="inf14">
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</inline-formula>1600 K) were 8 m and 2.1 km respectively. The uncertainties in <inline-formula id="inf19">
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</inline-formula> were about 10% during this time period and do not significantly change these values. The length scale of the structures was estimated by multiplying their group velocity (2&#x2013;4 km s<sup>-1</sup>) by the time they were observed by MAVEN, about 2 s, to give a structure length scale of 4&#x2013;8 km, larger than the charged particle gyro radii. The collisionless shock analogy thus seems feasible: if the ion gyro radii were much greater than the structure length scale, this would imply that the ions could gyrate &#x2018;through&#x2019; the structures, preventing the formation of charge separation electric fields at scales relevant to the steepened edges.</p>
<p>In order to sustain the observed steepened magnetic edges, a bulk electrical current is required to run along them via Amp&#xe8;re&#x2019;s Law. While the MAVEN observations cannot directly resolve charge separation on Debye scales at periapsis, MAVEN-LPW measurements may provide proxies for this at larger scales. In particular, charge separation across the steepened edges would drive localized high frequency electrostatic fluctuations, and the MAVEN-LPW instrument appears to observe such fluctuations. <xref ref-type="fig" rid="F5">Figure 5</xref> shows a combination of time series plasma observations and the electric currents measured by the Langmuir Probe instrument at the steepened edges of each magnetic structure. Panels A&#x2013;C provide context of the periapsis pass, spanning the same time range as <xref ref-type="fig" rid="F2">Figure 2</xref>. Panel A shows the magnetic field amplitude with the five structures again marked by the vertical solid black lines. Panel B shows the wavelet transform of B<sub>para</sub>, where the whistler waves are again observed at structures one and three. Panel C shows the current-voltage (IV) sweeps measured by LPW. The data from panel C are plotted in panels D&#x2013;M as line plots: each column (left to right) is associated with each of the five magnetic structures, with the structure number shown next to the panel letter. The top row (D-H) shows the electron dominated current measured by LPW at positive sweep voltages; the bottom row (I-M) shows the ion dominated current measured by LPW at negative sweep voltages. Each 4 s individual IV sweep is plotted as a single line in each panel. Each line is colored based on the time at which it was measured relative to each magnetic structure: the line colors map directly to the colorbar shown under panel C. The noise floor of the instrument is about 10 nA: panel J shows a good example of this noise floor, with similar amplitude fluctuations observed in every IV sweep plotted.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Detailed analysis of the LPW current-voltage (IV) sweeps supporting the hypothesis that currents were present along the steepened edges of the magnetic structures. Panels show: <bold>(A&#x2013;C)</bold> time series observations spanning the same time range as <xref ref-type="fig" rid="F2">Figure 2</xref>, providing context for later panels. Panel <bold>(A)</bold> shows the magnetic field amplitude with the five steepened edges labeled by the vertical lines; <bold>(B)</bold> shows the wavelet transform of <inline-formula id="inf21">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, with the time dispersed signature of whistler waves observed at structures one and three; C shows the LPW IV sweeps. The solid vertical orange line marks periapsis. Panels <bold>(D&#x2013;M)</bold> show the LPW current-voltage sweeps in more detail: each column corresponds to one of the five labeled structures (with the structure number printed after the panel letter). The top (bottom) row shows the electron (ion) current dominated portion of the IV sweep. Each individual 4 s sweep is plotted as a single color, where the changes in color denote elapsed time relative to each structure. The colors can be mapped directly to the colorbar shown beneath panel C.</p>
</caption>
<graphic xlink:href="fspas-12-1688155-g005.tif">
<alt-text content-type="machine-generated">Scientific data visualization comprising multiple graphs. The top part includes plots marked (A) to (C) showing measurements such as magnetic field intensity and wavelet power across time segments labeled 1 to 5. The lower part displays current versus sweep voltage graphs, labeled (D) to (M), for both electron and ion sides. The plots feature various colors, indicating different data lines. Text annotations provide date and specific condition details, with a color bar below the main graph area.</alt-text>
</graphic>
</fig>
<p>Both the electron and ion dominated currents to the probes (panels D&#x2013;H and I-M) are proportional to the plasma density, but the electron current to the probe is larger than the ion current due to the faster electron thermal velocity. Each individual sweep consisted of 128 measurements taken over 4 s, and variability in the measured current within a single IV sweep (i.e., within an individual line) provides evidence of higher frequency fluctuations in density, which are interpreted as the presence of electrostatic fluctuations. Panels (D, I), (E, J) and (G, L) in particular show variability above the noise floor threshold in electron and/or ion currents, at the steepened edges of their respective magnetic structures. These observations thus support the presence of electrostatic fluctuations at the steepened edges of the magnetic structures, indicating charge separation at Debye length scales.</p>
<p>A common source of parallel propagating whistler wave generation in space plasmas are unstable anisotropic electron distribution functions that are characterized by <inline-formula id="inf22">
<mml:math id="m22">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> greater than some instability threshold value (where <inline-formula id="inf23">
<mml:math id="m23">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf24">
<mml:math id="m24">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the electron temperatures perpendicular and parallel to the local magnetic field respectively) (<xref ref-type="bibr" rid="B31">Kennel and Petschek, 1966</xref>). <xref ref-type="fig" rid="F2">Figure 2H</xref> shows that the electrons are anisotropic in the parallel direction, and the ratio <inline-formula id="inf25">
<mml:math id="m25">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>r</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> does not change significantly when the magnetic structures are observed, compared to the background values. This instability mechanism thus seems unlikely to be the cause of the observed whistler waves here, and this is consistent with the whistler waves propagating obliquely to the local magnetic field as interpreted from the wavelet and Minimum Variance analyses.</p>
</sec>
<sec id="s4-2">
<label>4.2</label>
<title>The role of whistler waves in the evolution of the large amplitude magnetic structures</title>
<p>Regardless of their specific generation mechanism, <xref ref-type="bibr" rid="B53">Tsurutani et al. (1989)</xref> demonstrated that the whistler waves observed at comet GZ acted to reorient and smooth out the discontinuities between the up- and downstream sides of the magnetosonic steepened edges they were associated with. The observations shown in <xref ref-type="fig" rid="F2">Figure 2</xref> support the same role in this study. In panel A, structure one can be split (as a function of time) by-eye into what appears to be two steepened edges: the vertical solid line &#x2018;1&#x2019; marks the first (clear) steepened edge and the dotted vertical line &#x2018;1b&#x2019; marks what appears to be the peak of a second steepened edge (followed by the gradual return to background field strength). The magnetic field strength in between appears to have been &#x2018;smoothed out&#x2019;, almost removing the leading edge at structure 1b. This smoothing appears to have happened in the presence of the observed whistler wave activity, which would require obliquely propagating whistlers, consistent with our analysis. Our interpretation is that structures 1 and 1b initially looked similar to 4 and 5 (two distinct steepened structures), but the activity of the obliquely propagating whistler waves have smoothed out the second steepened edge in particular. We note that structure 1b is not necessarily a clearly defined structure, especially compared to the other structures, and this is consistent with our interpretation. Structures 2-5 are characterized by smooth reductions in magnetic field magnitude after each steepened edge. Structure 1b appears to have the smooth reduction in magnetic field strength, but at most a &#x2018;weak&#x2019; steepened edge. Our interpretation is that the original steepened edge has been smoothed out by the observed whistler waves. There is a small increase in electron density (<xref ref-type="fig" rid="F2">Figure 2I</xref>) coincident with structure 1b, a feature also consistent with our interpretation that MAVEN observed this structure towards the end of the smoothing process (in contrast to the large density enhancements that are coincident with the steepened edges that have not undergone smoothing).</p>
<p>The presence or not of whistler waves at the remaining structures, and their steepened nature, can be interpreted as observing these structures at different stages of their evolution as they propagate down through the ionosphere. MAVEN observed each structure at a different altitude and SZA, and subsequently each structure was observed in a different magnetization state (i.e., ratio of ion gyro frequency to ion-neutral collision frequency, see <xref ref-type="sec" rid="s4-1">Section 4.1</xref>). The impact of this &#x2018;sampling bias&#x2019; on whether whistler waves should have been observed associated with a particular structure or not requires further study. In addition, the chaotic and highly disturbed nature of the magnetosphere during this time period means that it is unlikely each structure was produced under identical conditions, and that all structures had traveled the same path and through the same plasma conditions. It is thus reasonable to assume that they would evolve differently, explaining why some edges had been smoothed out (1 and 1b); edge 3 was undergoing smoothing (whistler waves are present); and edges 2, 4 and 5 had yet to generate whistler waves and undergo smoothing.</p>
<p>To further demonstrate the role of the observed whistler waves in the evolution of the magnetic structures, a time superposed epoch analysis was carried out on all six structures and is shown in <xref ref-type="fig" rid="F6">Figure 6</xref>. Each panel shows the magnetic field amplitude associated with a structure as a function of time, with time now centered on the peak in magnetic field amplitude at the steepened edge of each structure. The top row (panels A&#x2013;C) shows structures that were accompanied by whistler waves (structures 1, 1b, 3); the bottom row shows structures that were not accompanied by whistler waves (structures 2, 4, 5). The two solid vertical lines in each panel enclose the widths of each leading edge, in units of seconds as observed by MAVEN. The right hand line marks the peak in magnetic field amplitude at the steepened edge. The left hand line marks the beginning of the steepened edge. This was defined as where, moving out from the steepened edge (right to left in each panel), the background magnetic field amplitude reached a minimum (or became constant). This was determined by eye and is somewhat empirical, but the results are compelling: the widths of those edges accompanied by whistler waves were 7.6, 21 and 13.6 s. These were consistently larger than the edge widths that did not have whistler waves associated with them: 1.9, 4.6 and 4.8 s. We will note the caveat here that we are limited to only six samples and these results are compelling but may not be statistically representative. Here we have assumed that the time MAVEN observed each edge for is a proxy for the width of each edge. We have not considered geometry and MAVEN&#x2019;s motion relative to the steepened structures. We acknowledge that identifying the beginning of the steepened edge for structure 1b in particular is somewhat ambiguous and this is consistent with our interpretation that MAVEN observed this structure towards the end of the smoothing process acting on it. Identification of the exact start time is not crucial for our discussion here: the key takeaway is that the edge of structure 1b is clearly wider than those structures that did not have whistler waves associated with them.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Time superposed epoch analysis of the magnetic structures, centered on the peak in magnetic field amplitude at the steepened edge of each structure. The numbers next to each panel label mark which structure is being plotted. The top row shows structures that have whistler waves associated with them, the bottom row shows structures that do not have whistler waves associated with them. The width of each steepened edge is enclosed by the solid vertical gray lines in each panel, with the corresponding time MAVEN observed each edge also printed in each panel.</p>
</caption>
<graphic xlink:href="fspas-12-1688155-g006.tif">
<alt-text content-type="machine-generated">Six line graphs showing magnetic field strength in nanoteslas over time, each labeled with a date and time stamp. The top row, labeled &#x22;With whistlers,&#x22; includes graphs (A), (B), and (C) with different colored lines: green, orange, and red, showing varying peak times. The bottom row, labeled &#x22;No whistlers,&#x22; includes graphs (D), (E), and (F) with black, purple, and blue lines, also showing peaks at different times. Superposed time ranges from -20 to 20 seconds in each graph.</alt-text>
</graphic>
</fig>
<p>A scatter plot of the steepened edge widths is shown in <xref ref-type="fig" rid="F7">Figure 7</xref>, where the structure numbers are labeled next to each cross. Those structures without whistler waves associated with them (2, 4, 5) are observed by MAVEN for less than 5 s. In contrast, structures with whistler waves associated with them (1, 1b, 3) are observed for much longer, in particular structures 1b and 3, which are observed for <inline-formula id="inf26">
<mml:math id="m26">
<mml:mrow>
<mml:mo>&#x223c;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>21 and 14 s respectively. The results are consistent with the whistler waves acting to smooth out the steepened edges.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>Scatter plot showing the width of each steepened edge from <xref ref-type="fig" rid="F6">Figure 6</xref>. Edges that had whistler waves associated with them (1, 1b, 3) have larger widths than those that did not have whistler waves associated with them (2, 4, 5).</p>
</caption>
<graphic xlink:href="fspas-12-1688155-g007.tif">
<alt-text content-type="machine-generated">Scatter plot showing the width in time of each steepened edge, numbered one through five and one b. The x-axis is labeled &#x22;Steepened edge #&#x22; and the y-axis is labeled &#x22;Edge width in time [s]&#x22;, with values ranging from zero to twenty-five. Points are color-coded: one is green, one b is orange, two is black, three is red, four is purple, and five is blue, each with different time widths.</alt-text>
</graphic>
</fig>
</sec>
<sec id="s4-3">
<label>4.3</label>
<title>Impact of observed whistler waves on ambient plasma</title>
<p>While the observed whistler waves appear to aid in the smoothing out of the structure steepened edges, they may also interact with the ambient plasma to drive, for example, particle heating via wave-particle interactions. To determine if the observed whistler waves could Landau damp with the ambient electrons and heat the plasma, the phase velocity of the whistler waves was compared with the thermal velocity of the ambient thermal electrons, under the assumption that efficient Landau damping would occur when these two were equal.</p>
<p>The phase velocity of the whistler waves was calculated via the dispersion relation for the whistler wave mode, given by <xref ref-type="disp-formula" rid="e1">Equation 1</xref>:<disp-formula id="e1">
<mml:math id="m27">
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msup>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>Where <inline-formula id="inf27">
<mml:math id="m28">
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the angular frequency of the whistler wave mode, equal to <inline-formula id="inf28">
<mml:math id="m29">
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>&#x3c0;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> f, with <inline-formula id="inf29">
<mml:math id="m30">
<mml:mrow>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> the observed frequency of the whistler waves; <inline-formula id="inf30">
<mml:math id="m31">
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the wavenumber; <inline-formula id="inf31">
<mml:math id="m32">
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> the speed of light in a vacuum; <inline-formula id="inf32">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>q</mml:mi>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>m</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula> is the electron (angular) gyro frequency; <inline-formula id="inf33">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>m</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
</inline-formula> is the plasma (angular) frequency; <inline-formula id="inf34">
<mml:math id="m35">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>m</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the electron mass; <inline-formula id="inf35">
<mml:math id="m36">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the permittivity of free space; <inline-formula id="inf36">
<mml:math id="m37">
<mml:mrow>
<mml:mi>q</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the electron charge; <inline-formula id="inf37">
<mml:math id="m38">
<mml:mrow>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the magnetic field amplitude; <inline-formula id="inf38">
<mml:math id="m39">
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the total plasma density.</p>
<p>The phase velocity <inline-formula id="inf39">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of the wave is defined by <xref ref-type="disp-formula" rid="e2">Equation 2</xref>:<disp-formula id="e2">
<mml:math id="m41">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>k</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msubsup>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>From <xref ref-type="disp-formula" rid="e1">Equation 1</xref> we can solve for the wavenumber <inline-formula id="inf40">
<mml:math id="m42">
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="disp-formula" rid="e3">Equation 3</xref>), which can then be substituted into <xref ref-type="disp-formula" rid="e2">Equation 2</xref> to give <xref ref-type="disp-formula" rid="e4">Equation 4</xref>:<disp-formula id="e3">
<mml:math id="m43">
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
<mml:msubsup>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi>c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
<disp-formula id="e4">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>c</mml:mi>
<mml:msup>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msup>
<mml:msubsup>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msubsup>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
</p>
<p>At periapsis, based on <xref ref-type="fig" rid="F2">Figure 2</xref>, representative values for the following parameters are used: <inline-formula id="inf41">
<mml:math id="m45">
<mml:mrow>
<mml:mi>f</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 0.1 Hz and 1 Hz, <inline-formula id="inf42">
<mml:math id="m46">
<mml:mrow>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 100 nT, <inline-formula id="inf43">
<mml:math id="m47">
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 1 &#xd7; 10<sup>4</sup> cm<sup>-3</sup>. The resulting values of <inline-formula id="inf44">
<mml:math id="m48">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are just below 20 km s<sup>-1</sup>. For the observed thermal electron temperature <inline-formula id="inf45">
<mml:math id="m49">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> of <inline-formula id="inf46">
<mml:math id="m50">
<mml:mrow>
<mml:mo>&#x223c;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>800 K, the electron thermal velocity <inline-formula id="inf47">
<mml:math id="m51">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>m</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
</inline-formula> is about 110 km s<sup>-1</sup> (<inline-formula id="inf48">
<mml:math id="m52">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>b</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the Boltzmann constant). Thus at periapsis the whistler waves travel too slowly to efficiently Landau damp with the thermal electron population, consistent with the lack of observed enhanced electron temperature associated with the whistler waves (<xref ref-type="fig" rid="F2">Figure 2J</xref>).</p>
<p>Based on <xref ref-type="bibr" rid="B22">Gary and Mellott (1985)</xref>, <xref ref-type="bibr" rid="B42">Omidi and Winske (1988)</xref>, <xref ref-type="bibr" rid="B53">Tsurutani et al. (1989)</xref>, we expect the whistler wave amplitude to decrease exponentially with distance from a steepened edge if undergoing Landau damping. This was not observed at periapsis: the decrease in amplitude was roughly linear with distance (<xref ref-type="fig" rid="F2">Figure 2</xref> INS1 and INS2), and thus consistent with our calculations above. This linear decrease in wave amplitude is expected under no Landau damping as a result of wave generation and the build up of energy at the steepened edge, which has to propagate outward.</p>
<p>Because <inline-formula id="inf49">
<mml:math id="m53">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x221d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>B</mml:mi>
<mml:mi>&#x3c9;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:math>
</inline-formula> the whistler wave phase velocity increases with increasing altitude (because <inline-formula id="inf50">
<mml:math id="m54">
<mml:mrow>
<mml:mi>B</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> varies within a factor of two, but <inline-formula id="inf51">
<mml:math id="m55">
<mml:mrow>
<mml:mi>n</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> decreases by several orders of magnitude). The resulting inbound altitude profiles of <inline-formula id="inf52">
<mml:math id="m56">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf53">
<mml:math id="m57">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are shown in <xref ref-type="fig" rid="F8">Figure 8</xref>. In the figure, panels A&#x2013;D show the quantities required to calculate <inline-formula id="inf54">
<mml:math id="m58">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> as time series; the resulting profiles are shown in panel E. The rainbow colorbar maps between the time series panels and the altitude profile (note that it is different to the timebars shown in previous Figures). At higher altitudes, around 600 km and above, <inline-formula id="inf55">
<mml:math id="m59">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is comparable to <inline-formula id="inf56">
<mml:math id="m60">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>v</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mi>h</mml:mi>
<mml:mo>,</mml:mo>
<mml:mi>e</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> for waves at 1 Hz, and whistler waves present at these altitudes may Landau damp with the ambient thermal electron population.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Various parameters demonstrating that the observed whistler waves are unlikely to Landau damp with the ambient electrons at periapsis, but may do so at higher altitudes. Panels show: <bold>(A&#x2013;D)</bold> time series observations of the quantities required to calculate the phase velocity of the whistler waves and thermal velocity of the ambient electrons: magnetic field amplitude, the 3D vector, ion density, electron temperature. <bold>(E)</bold> altitude profiles of the whistler wave phase velocity derived via <xref ref-type="disp-formula" rid="e2">Equation 2</xref> for wave frequencies of 0.1 Hz and 1 Hz, and the electron thermal velocity. The colorbar on the right of panel <bold>(E)</bold> maps directly to the one shown underneath panel <bold>(D)</bold>.</p>
</caption>
<graphic xlink:href="fspas-12-1688155-g008.tif">
<alt-text content-type="machine-generated">Graph displaying five panels with data over time and altitude. Panel (A) shows magnetic field strength variations. Panel (B) displays magnetic field components Bx, By, Bz. Panel (C) depicts ion and electron densities. Panel (D) presents electron temperature. Panel (E) correlates velocity with altitude for whistler and thermal electrons, showing color-coded data alongside frequency indicators. Timestamp is December 10, 2023, with time from 08:10 to 08:25. A color scale below represents E_i time.</alt-text>
</graphic>
</fig>
<p>A preliminary by-eye survey showed evidence for occasional whistler wave bursts at times earlier than those shown in <xref ref-type="fig" rid="F2">Figure 2</xref>, including at higher altitudes between 600 and 800 km. These whistler wave signatures were not observed frequently and tended to be isolated dispersive signatures as opposed to the train of multiple dispersive signatures observed at periapsis. The ionosphere at these higher altitudes was significantly more disturbed than at periapsis, likely due to its closer proximity to the solar wind interaction region and the highly disturbed magnetosphere. Our conclusion from this preliminary survey is that while the whistler waves may have Landau damped with the thermal electrons at these higher altitudes, more detailed study is required and is left for future work.</p>
<p>The whistler waves were unlikely to have interacted with the ambient plasma via cyclotron resonance because the wave frequencies (0.1&#x2013;1 Hz) were significantly lower than the electron gyro frequency (<inline-formula id="inf57">
<mml:math id="m61">
<mml:mrow>
<mml:mo>&#x223c;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>3 kHz) and greater than the O<sub>2</sub>
<sup>&#x2b;</sup> gyro frequency (0.05 Hz).</p>
<p>We conclude this section with a brief discussion on bigger picture impacts from this work. In particular, the magnetic structures observed here present a new mechanism through which whistler waves can be generated and propagate within the ionosphere of an unmagnetized planet. Because whistler waves typically propagate parallel to the local magnetic field, whistler waves generated in the magnetospheres of unmagnetized planets tend to be unable to propagate into the underlying dayside ionospheres. This is due to the draped nature of the global magnetic field of the induced magnetosphere: the magnetic field drapes horizontally about the dayside of the planet, preventing direct propagation of whistler waves to low altitudes. As shown here (and discussed in detail in <xref ref-type="bibr" rid="B20">Fowler et al. (2026)</xref>), the steepened magnetosonic structures propagated across the draped field downward into the dayside ionosphere, generating whistler waves as they did so. These whistler waves were thus generated locally within the ionosphere, where they would propagate horizontally along the draped magnetic field line on which they were generated. Such a mechanism should be feasible at other unmagnetized bodies, for example, Venus and comets, and may explain some cases of whistler waves observed at those bodies.</p>
<p>While the observed whistler waves in this study did not appear to interact directly with the ambient plasma, whistler waves have the potential to heat ionospheric electrons. Electron temperature is an important quantity in planetary ionospheres: it plays a key role in photochemical reaction rates that control ionospheric composition and density (e.g., <xref ref-type="bibr" rid="B37">McElroy et al., 1977</xref>; <xref ref-type="bibr" rid="B3">Andersson et al., 2010</xref>; <xref ref-type="bibr" rid="B21">Fox et al., 2017</xref>). It can also enhance the escape of hot atomic O via the dissociative recombination of O<sub>2</sub>
<sup>&#x2b;</sup> (e.g., <xref ref-type="bibr" rid="B34">Lillis et al., 2017</xref>) and drive ion escape via the generation of ambi-polar electric fields (e.g., <xref ref-type="bibr" rid="B10">Collinson et al., 2015</xref>; <xref ref-type="bibr" rid="B14">Ergun et al., 2016</xref>; <xref ref-type="bibr" rid="B2">Akbari et al., 2019</xref>). Thus understanding potential sources of ionospheric electron heating is crucial to understanding ionospheric structure and dynamics.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<label>5</label>
<title>Conclusion</title>
<p>NASA&#x2019;s MAVEN spacecraft observed novel large amplitude steepened magnetosonic structures during a periapsis pass through the dayside ionosphere in the aftermath of an interplanetary coronal mass ejection (ICME) impact with Mars. These structures were generated by the impact of this ICME with the system and were studied in detail by <xref ref-type="bibr" rid="B20">Fowler et al. (2026)</xref>. In this study we demonstrate that whistler waves were generated within the Martian ionosphere by these structures. We discuss possible generation mechanisms for the waves, the role of these waves in the evolution of their parent magnetic structures, and the impact of these waves on the ambient plasma. Our conclusions are summarized as follows:<list list-type="order">
<list-item>
<p>Obliquely propagating whistler waves were observed at MAVEN&#x2019;s periapsis, between 185 and 200 km altitude. Their presence was confirmed by wavelet transform and Minimum Variance analyses. The whistlers were centered at around 1 Hz frequency, displayed the characteristic dispersion in frequency and time, and were right hand quasi-circularly polarized. Wave power was greatest in the parallel direction, while wave power was not equal in the two perpendicular components, consistent with these characteristics.</p>
</list-item>
<list-item>
<p>The observations are consistent with the whistler waves being generated by currents (and subsequent instabilities) running along the steepened edges of the large scale magnetic structures, in analogy to collisionless shocks. The steepened edges are capable of driving charge separation due to differences in ion and electron gyro radii, which in turn generate <inline-formula id="inf58">
<mml:math id="m62">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>E</mml:mi>
</mml:mrow>
<mml:mo>&#x20d7;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula>x<inline-formula id="inf59">
<mml:math id="m63">
<mml:mrow>
<mml:mover accent="true">
<mml:mrow>
<mml:mi>B</mml:mi>
</mml:mrow>
<mml:mo>&#x20d7;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> drifts along the steepened edges.</p>
</list-item>
<list-item>
<p>The whistler waves appear to play an important role in the evolution of the steepened edge structures: they smooth and reorient the steepened edges in order to smooth out the discontinuity between the up- and downstream sides of each structure. This smoothing was observed for one pair of structures in particular, and is consistent with the aforementioned collisionless shock analogy.</p>
</list-item>
<list-item>
<p>The whistler waves do not appear to significantly Landau damp with the ambient plasma at periapsis due to large differences in their phase velocity compared to the ambient electron thermal velocity. This was consistent with wave forms of the observed whistler waves and a lack of enhanced electron temperature within each structure. The whistler waves may have been able to Landau damp with ambient electrons at higher altitudes (600&#x2013;800 km), but future work is needed to confirm this. Cyclotron resonance with the ambient plasma was unlikely given the differences in wave frequency and charged particle gyro frequencies.</p>
</list-item>
<list-item>
<p>Our study identifies a novel method through which whistler waves can be generated within a planetary ionosphere at unmagnetized planets. Whistler waves generated in the magnetosphere typically cannot propagate downward due to the horizontal nature of the draped magnetic field at unmagnetized planets. In this study, the large amplitude magnetosonic structures propagate transverse to this draped field, downward, generating whistler waves as they do so. This study demonstrates the importance of understanding the impact of space weather and extreme drivers on planets within our solar system.</p>
</list-item>
</list>
</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>All datasets analyzed in this study are publicly available via NASA Planetary Data System (<ext-link ext-link-type="uri" xlink:href="https://pds.nasa.gov/">https://pds.nasa.gov/</ext-link>). MAVEN data are hosted by the Planetary Plasma Interactions node, at the University of California, Los Angeles (<ext-link ext-link-type="uri" xlink:href="https://pds-ppi.igpp.ucla.edu/search/target?t=Mars&#x26;sc=MAVEN#">https://pds-ppi.igpp.ucla.edu/search/target?t&#x3d;Mars&#x26;sc&#x3d;MAVEN#</ext-link>).</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>CF: Visualization, Formal Analysis, Resources, Writing &#x2013; original draft, Project administration, Funding acquisition, Methodology, Data curation, Conceptualization, Validation, Investigation, Software, Writing &#x2013; review and editing, Supervision. KH: Data curation, Investigation, Writing &#x2013; review and editing, Validation, Software, Methodology. JH: Writing &#x2013; review and editing, Methodology, Validation, Data curation, Investigation. CR: Software, Writing &#x2013; review and editing, Data curation. JM: Validation, Writing &#x2013; review and editing, Methodology, Data curation, Investigation. DM: Data curation, Methodology, Investigation, Validation, Writing &#x2013; review and editing. LA: Validation, Writing &#x2013; review and editing, Investigation, Methodology, Data curation. DB: Data curation, Validation, Writing &#x2013; review and editing. YH: Validation, Investigation, Writing &#x2013; review and editing, Methodology. YM: Validation, Methodology, Writing &#x2013; review and editing, Investigation. CC: Validation, Methodology, Investigation, Writing &#x2013; review and editing. BS-C: Validation, Methodology, Investigation, Writing &#x2013; review and editing. ML: Validation, Writing &#x2013; review and editing, Methodology, Investigation. DB: Investigation, Writing &#x2013; review and editing, Validation, Methodology. CM: Validation, Writing &#x2013; review and editing, Investigation, Methodology. JE: Validation, Data curation, Writing &#x2013; review and editing. MB: Methodology, Data curation, Validation, Writing &#x2013; review and editing. RJ: Writing &#x2013; review and editing. SC: Writing &#x2013; review and editing.</p>
</sec>
<ack>
<title>Acknowledgements</title>
<p>We thank the NASA Mars Exploration Program for their continued support of the MAVEN mission. Parts of this work for the observations obtained with the SWEA instrument are supported by the French space agency CNES (National Centre for Space Studies).</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
<p>The reviewer DR-C declared a past co-authorship with the author(s) BS-C to the handling editor.</p>
</sec>
<sec sec-type="ai-statement" id="s10">
<title>Generative AI statement</title>
<p>The author(s) declare that no Generative AI was used in the creation of this manuscript.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2129898/overview">Ryan Dewey</ext-link>, University of Michigan, United States</p>
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<fn fn-type="custom" custom-type="reviewed-by">
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<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1420800/overview">Diana Rojas-Castillo</ext-link>, National Autonomous University of Mexico, Mexico</p>
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<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1771548/overview">Ram Singh</ext-link>, Instituto Geofisico del Peru, Peru</p>
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