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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Phys.</journal-id>
<journal-title>Frontiers in Physics</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Phys.</abbrev-journal-title>
<issn pub-type="epub">2296-424X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1115461</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2022.1115461</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Correction</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Corrigendum: Optoelectronic integrated circuits for analog optical computing: Development and challenge</article-title>
<alt-title alt-title-type="left-running-head">Dan 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/fphy.2022.1115461">10.3389/fphy.2022.1115461</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Dan</surname>
<given-names>Yihang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Fan</surname>
<given-names>Zeyang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Chen</surname>
<given-names>Qi</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Lai</surname>
<given-names>Yihang</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Sun</surname>
<given-names>Xiaojuan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/20982/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhang</surname>
<given-names>Tian</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1935976/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xu</surname>
<given-names>Kun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Beijing University of Posts and Telecommunications (BUPT)</institution>, <addr-line>Beijing</addr-line>, <addr-line>Beijing Municipality</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>School of Science</institution>, <institution>Beijing University of Posts and Telecommunications</institution>, <addr-line>Beijing</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited and reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1846872/overview">Hongda Chen</ext-link>, Institute of Semiconductors (CAS), China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Tian Zhang, <email>ztian@bupt.edu.cn</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Optics and Photonics, a section of the journal Frontiers in Physics</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>01</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>1115461</elocation-id>
<history>
<date date-type="received">
<day>04</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>12</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Dan, Fan, Chen, Lai, Sun, Zhang and Xu.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Dan, Fan, Chen, Lai, Sun, Zhang and Xu</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). 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.</p>
</license>
</permissions>
<related-article id="RA1" related-article-type="corrected-article" journal-id="Front. Phys." journal-id-type="nlm-ta" xlink:href="10.3389/fphy.2022.1064693" ext-link-type="doi">A Corrigendum on <article-title>Optoelectronic integrated circuits for analog optical computing: Development and challenge</article-title> by Dan Y, Fan Z, Chen Q, Lai Y, Sun X, Zhang T and Xu K (2022). Front. Phys. 10:1064693. doi: <object-id>10.3389/fphy.2022.1064693</object-id>
</related-article>
<kwd-group>
<kwd>optoelectronics</kwd>
<kwd>optical computing</kwd>
<kwd>optical neural networks</kwd>
<kwd>artificial intelligence</kwd>
<kwd>neuromophic computing</kwd>
<kwd>ising machine</kwd>
<kwd>reservoir computing (RC)</kwd>
<kwd>photonic integrated chip</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<p>In the original article, there was an error in the caption of <bold>Figure 2</bold>, as some citations were missing. The corrected caption appears below:</p>
<p>&#x201c;<bold>(A)</bold> The progresses of analog optical computing in the coherent integration platform. <bold>(B)</bold> Schematic of a Mach&#x2013;Zehnder interferometer (MZI). <bold>(C)</bold> Schematic of a 4 &#xd7; 4-port universal linear circuit <bold>[99]</bold>. <bold>(D)</bold> Schematic of Reck design and Clements design for the unitary implementation <bold>[100]</bold>. <bold>(E)</bold> Schematic of the optical interference unit (OIU) <bold>[44]</bold>. <bold>(F)</bold> Schematic of the &#x201c;FFTUnitary&#x201d; <bold>[46]</bold>. <bold>(G)</bold> Schematic of the complex-valued ONN <bold>[51]</bold>. <bold>(H)</bold> Schematic of the integrated chip diffractive neural network <bold>[103]</bold>. <bold>(I)</bold> Schematic of the pseudo-real-value matrix unitary MZI mesh <bold>[104]</bold>. <bold>(J)</bold> A robust architecture for universal unitary <bold>[111]</bold>. <bold>(G)</bold> Reprinted from Ref. <bold>51</bold> with permission from Springer Nature: Nature Communications. <bold>(H)</bold> Reprinted from Ref. <bold>103</bold> with permission from Springer Nature: Nature Communications. <bold>(I)</bold> Reprinted from Ref. <bold>104</bold> with permission from De Gruyter: Nanophotonics. <bold>(J)</bold> Reprinted from Ref. <bold>111</bold> with permission from American Physical Society: Physical Review Letters.&#x201d;</p>
<p>In the original article, there were two errors in <xref ref-type="fig" rid="F3">Figure 3</xref>. The first error was the number of the citation in <xref ref-type="fig" rid="F3">Figure 3</xref>, panel (A), &#x201c;Photonic tensor core based on PCM array [40]&#x201d;. The second error was that some citations were missing in the caption. The corrected figure and its caption appear below:</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(A)</bold> The progresses of analog optical computing in the incoherent integration platform. <bold>(B)</bold> Schematic of MRR-based optical matrix-vector multiplier <bold>[43]</bold>. <bold>(C)</bold> Schematic of an optical B&#x26;W network <bold>[114]</bold>. <bold>(D)</bold> An experimental setup concept of B&#x26;W network <bold>[115]</bold>. <bold>(E)</bold> Schematic of the all-optical spiking neural circuit <bold>[64]</bold>. <bold>(F)</bold> Schematic of the dot-product engine based on MRR <bold>[41]</bold>. <bold>(G)</bold> The principle of MRR-based complex-valued MVM <bold>[116]</bold>. <bold>(H)</bold> Schematic of the SOA-based weighted addition operation circuits <bold>[117]</bold>. <bold>(I)</bold> Schematic of the photonic tensor core <bold>[48]</bold>. <bold>(J)</bold> Schematic of the convolutional photonic computing core using PMCC array <bold>[118]</bold>. <bold>(K)</bold> The schematic of an N-input photonic neuron in the integrated end-to-end photonic deep neural network chip <bold>[52]</bold>. <bold>(G)</bold> Reprinted from Ref. <bold>116</bold> with permission from Springer: Frontiers of Optoelectronics. <bold>(J)</bold> Reprinted from Ref. <bold>118</bold> with permission from Springer Nature: Nature Communications.</p>
</caption>
<graphic xlink:href="fphy-10-1115461-g003.tif"/>
</fig>
<p>In the original article, there was an error in the caption of <bold>Figure 4</bold>, as some citations were missing. The corrected caption appears below:</p>
<p>&#x201c;<bold>(A)</bold> The progresses of analog optical computing in the space-propagation optical platform. <bold>(B)</bold> Schematic of the optical MVM model. <bold>(C)</bold> Schematic of the optical convolutional layer based on 4f system <bold>[47]</bold>. <bold>(D)</bold> Schematic of the linear operation in the all-optical neural network <bold>[120]</bold>. <bold>(E)</bold> The procedure for characterizing optical vector-vector dot products <bold>[121]</bold>. <bold>(F)</bold> Schematic of the optical recurrent neural network using SLM and DOE <bold>[74]</bold>. <bold>(G)</bold> Schematic of the diffractive deep neural network <bold>[63]</bold>. <bold>(H)</bold> Schematic of the reconfigurable diffractive processing unit (DPU) <bold>[123]</bold>. <bold>(I)</bold> An array of programmable metasurfaces for constructing the programmable artificial intelligence machine <bold>[124]</bold>. <bold>(J)</bold> The working principle of the on-chip multiplexed diffractive neural network <bold>[125]</bold>. <bold>(K)</bold> Principle of the spatial-photonic Ising machine <bold>[88]</bold>. <bold>(C)</bold> Reprinted from Ref. <bold>47</bold> with permission from Springer Nature: Scientific Reports. <bold>(E)</bold> Reprinted from Ref. <bold>121</bold> with permission from Springer Nature: Nature Communications. <bold>(J)</bold> Reprinted from Ref. <bold>125</bold> with permission from Springer Nature: Light&#x7c;Science and Applications.&#x201d;</p>
<p>In the original article, there was an error in the caption of <bold>Figure 5</bold>, as some citations were missing. The corrected caption appears below:</p>
<p>&#x201c;The progresses of analog optical computing in the optical fiber platform. <bold>(B)</bold> Experimental set-up of the optoelectronic RC based on a single non-linear node and a delay line <bold>[53]</bold>. <bold>(C)</bold> Schematic of the optoelectronic implementation of RC <bold>[78]</bold>. <bold>(D)</bold> Schematic of the all-optical RC using the SOA as non-linearity <bold>[65]</bold>. <bold>(E)</bold> Schematic of the setup for delay-based RC using a photonic integrated circuit as non-linearity <bold>[79]</bold>. <bold>(F)</bold> The experimental setup of the MRR-based RC <bold>[54]</bold>. <bold>(G)</bold> The principle of generating artificial Ising spins based on DOPOs <bold>[49]</bold>. <bold>(H)</bold> Schematic of the setup of the coherent Ising machine with measurement and feedback <bold>[84]</bold>. <bold>(I)</bold> Schematic of the coherent Ising machine by using PPLN to form the time-division-multiplexed pulsed DOPOs <bold>[85]</bold>. <bold>(J)</bold> The principle of the time-stretch electro-optical neural network <bold>[135]</bold>. <bold>(K)</bold> The working principle of the photonic convolutional accelerator <bold>[18]</bold>. <bold>(F)</bold> Reprinted from Ref. <bold>54</bold> with permission from Springer Nature: Scientific Reports.&#x201d;</p>
<p>In the original article, there was an error in the caption of <bold>Figure 6</bold>, as some citations were missing. The corrected caption appears below:</p>
<p>&#x201c;<bold>(A)</bold> The principle of the simulating and mapping (S&#x26;M) method. <bold>(B)</bold> The workflow of the forward propagation method for <italic>in situ</italic> training of ONNs. <bold>(C)</bold> The workflow of <italic>in situ</italic> backpropagation and gradient measurement in MZI-based ONNs <bold>[157]</bold>. <bold>(D)</bold> The <italic>in situ</italic> training of diffractive optical neural networks <italic>via</italic> backpropagation <bold>[159]</bold>. <bold>(E)</bold> The principle of <italic>in situ</italic> training of ONNs <italic>via</italic> neuroevolution <bold>[161]</bold>.&#x201d;</p>
<p>In the original article, there was an error in the caption of <bold>Figure 7</bold>, as some citations were missing. The corrected caption appears below:</p>
<p>&#x201c;<bold>(A)</bold> The concept of the neuromorphic photonic processor with commercially available photonic packaging technology and some emerging ideas in the field of integrated photonics <bold>[38]</bold>. <bold>(B)</bold> The schematic and workflow of an electro-photonic computing system <bold>[163]</bold>. <bold>(C)</bold> The principle of the hardware error correction in large-scale MZI networks <bold>[165]</bold>. <bold>(D)</bold> The schematic of the space-efficient optical integrated diffractive neural networks <bold>[103]</bold>. <bold>(B)</bold> Reprinted from Ref. <bold>163</bold> with permission from arXiv preprint. <bold>(D)</bold> Reprinted from Ref. <bold>103</bold> with permission from Springer Nature: Nature Communications.&#x201d;</p>
<p>The authors apologize for these errors and state that this does not change the scientific conclusions of the article in any way. The original article has been updated.</p>
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