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<front>
<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>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">926344</article-id>
<article-id pub-id-type="doi">10.3389/fphy.2022.926344</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physics</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Passively Q-Switched and Mode-Locked Fiber Laser Based on a Zeolitic Imidazolate Framework-67 Saturable Absorber</article-title>
<alt-title alt-title-type="left-running-head">Wang and Zhu</alt-title>
<alt-title alt-title-type="right-running-head">ZIF-67 SA Pulsed Fiber Laser</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Pengpeng</given-names>
</name>
<uri xlink:href="https://loop.frontiersin.org/people/1823339/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Zhu</surname>
<given-names>Cunguang</given-names>
</name>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1647863/overview"/>
</contrib>
</contrib-group>
<aff>
<institution>School of Physics Science and Information Technology</institution>, <institution>Liaocheng University</institution>, <addr-line>Liaocheng</addr-line>, <country>China</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1554768/overview">Wenjing Tang</ext-link>, University of Jinan, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1784517/overview">Huannian Zhang</ext-link>, Shandong University of Technology, China</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1784541/overview">Tianli Feng</ext-link>, Shandong University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Cunguang Zhu, <email>cunguang_zhu@163.com</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>26</day>
<month>05</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>10</volume>
<elocation-id>926344</elocation-id>
<history>
<date date-type="received">
<day>22</day>
<month>04</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>12</day>
<month>05</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Wang and Zhu.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Wang and Zhu</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>
<abstract>
<p>Exploring new saturable absorber (SA) materials with excellent performance to achieve Q-switching and mode-locking operations is a hot topic in ultrafast laser research. The impressive specific surface areas, structural tunability, and high thermal and chemical stability of the zeolitic imidazolate framework (ZIF) materials make them promising candidates as high-performance SAs. In this work, we demonstrated the potential of the ZIF-67 SAs for ultrafast fiber laser applications. The nonlinear optical absorption characteristics of the ZIF-67 SAs at the telecommunication band were investigated by using the balanced twin-detector method. By incorporating the ZIF-67 SAs into the Er<sup>3&#x2b;</sup>-doped fiber laser cavity, stable Q-switching and mode-locking operations were achieved. The research results are essential for promoting the application of novel hybrid nanomaterials in ultrafast lasers.</p>
</abstract>
<kwd-group>
<kwd>saturable absorber</kwd>
<kwd>mode-locking</kwd>
<kwd>Er<sup>3&#x2b;</sup>-doped fiber laser</kwd>
<kwd>ZIF</kwd>
<kwd>hybrid nanomaterials</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>Introduction</title>
<p>As a typical representative of third-generation lasers, fiber lasers are promising in many scientific and industrial fields, occupying a large share of the commercial laser market. Fiber lasers can be divided into two types depending on the mode of operation: continuous and pulsed. The pulsed fiber laser has high pulse energy and short pulse width, greatly expanding the application of lasers in fiber optic communication, automotive manufacturing, laser cutting, medical devices, and other fields. Q-switching and mode-locking are the two main techniques enabling pulsed laser, both of which can be implemented actively or passively. The passive approach has gained increasing interest in the last few years due to its simplicity, flexibility, compactness, and low manufacturing cost. Unlike the active approach, the passive one does not rely on bulky and complex optical modulators and electronic drivers, which can achieve laser pulse output simply by placing a saturable absorber (SA) in the resonant cavity. Therefore, the SA plays a crucial role in the passive Q-switched and mode-locked lasers. The development of passive pulsed lasers relies heavily on SA materials.</p>
<p>Several types of SA materials have been investigated to realize passive pulsed lasers, such as transition metal dichalcogenides [<xref ref-type="bibr" rid="B1">1</xref>&#x2013;<xref ref-type="bibr" rid="B8">8</xref>], topological insulators [<xref ref-type="bibr" rid="B9">9</xref>&#x2013;<xref ref-type="bibr" rid="B13">13</xref>], carbon nanotubes [<xref ref-type="bibr" rid="B14">14</xref>, <xref ref-type="bibr" rid="B15">15</xref>], graphene [<xref ref-type="bibr" rid="B16">16</xref>&#x2013;<xref ref-type="bibr" rid="B19">19</xref>], transition metal oxide [<xref ref-type="bibr" rid="B20">20</xref>&#x2013;<xref ref-type="bibr" rid="B23">23</xref>], black phosphorus [<xref ref-type="bibr" rid="B24">24</xref>&#x2013;<xref ref-type="bibr" rid="B28">28</xref>], and ferromagnetic semiconductors [<xref ref-type="bibr" rid="B29">29</xref>]. In some recent studies, it has been found that lasers can perform both Q-switching and mode-locking operations with the help of some excellent SA materials. In 2018, D. Mao et al. successfully realized Q-switching and mode-locking operations using a film-type ReS<sub>2</sub>-PVA SA in an erbium-doped fiber laser (EDFL) [<xref ref-type="bibr" rid="B30">30</xref>]. In 2019, C. Wei et al. reported the implementation of the Q-switching and mode-locking operations in a Ho<sup>3&#x2b;</sup>/Pr<sup>3&#x2b;</sup> co-doped ZBLAN fiber laser at 3&#xa0;&#x3bc;m mid-infrared waveband using a single-walled carbon nanotube SA [<xref ref-type="bibr" rid="B31">31</xref>]. In 2020, N.F. Zulkiplia et al. achieved two modes of pulsed EDFLs using Eu<sub>2</sub>O<sub>3</sub> as a SA [<xref ref-type="bibr" rid="B23">23</xref>]. In the same year, W. Zhang et al. successfully built Q-switched and mode-locked erbium-doped fiber lasers using tellurene nanosheets as SAs [<xref ref-type="bibr" rid="B32">32</xref>]. It is of great interest to continue exploring new SA materials that can perform multiple types of pulsed operations.</p>
<p>Metal-organic frameworks (MOFs) have attracted a great deal of attention in the past decade. They are hybrid materials with repeating, cage-like structures constructed with metal/metal-cluster nodes bridged by organic linkers. With high internal surface areas and unique structure design and tunability, MOFs have proven to be excellent gas storage [<xref ref-type="bibr" rid="B33">33</xref>], gas sensors [<xref ref-type="bibr" rid="B34">34</xref>], supercapacitors [<xref ref-type="bibr" rid="B35">35</xref>], and catalysts [<xref ref-type="bibr" rid="B36">36</xref>]. MOFs can possess favorable photophysical properties due to the coordination of metal nodes with organic linkers [<xref ref-type="bibr" rid="B37">37</xref>, <xref ref-type="bibr" rid="B38">38</xref>], making them one of the most promising materials for applications in nonlinear optics, especially in ultrafast lasers [<xref ref-type="bibr" rid="B39">39</xref>, <xref ref-type="bibr" rid="B40">40</xref>]. However, the poor hydrothermal and chemical stability has limited the application of MOFs in some fields. Under high temperature, high humidity, or strong acidic and alkaline environments, the coordination bonds between metal ions and organic ligands in MOFs are easily broken, leading to framework changes or even collapse.</p>
<p>Exploring a new material that exhibits better hydrothermal and chemical stability and inherits the advantages of MOFs is a good option to solve the above problems. As a subfamily of MOFs, zeolitic imidazolate framework (ZIF) materials have all these qualities [<xref ref-type="bibr" rid="B41">41</xref>, <xref ref-type="bibr" rid="B42">42</xref>]. They are porous materials consisting of transition metal ions cobalt (Co<sup>2&#x2b;</sup>) or zinc (Zn<sup>2&#x2b;</sup>) bonded by imidazole. In recent years, H. Chu et al. first investigated the nonlinear saturable absorption properties of ZIF-67 materials in the near- and mid-infrared spectral bands and designed passive Q-switched solid-state lasers based on ZIF-67 SAs operating at 1, 1.3, 2, and 2.3&#xa0;&#x3bc;m wavelength, respectively [<xref ref-type="bibr" rid="B43">43</xref>&#x2013;<xref ref-type="bibr" rid="B46">46</xref>]. These results fully illustrate the excellent nonlinear saturable absorption properties of the ZIF-67 materials. However, up to now, the research reports based on ZIF-67 are limited to solid-state lasers, and only passive Q-switching operation has been achieved. The nature and applications of ZIFs in ultrafast lasers are to be further explored.</p>
<p>This work demonstrated the potential of ZIF-67 SAs for ultrafast fiber laser applications. By incorporating the ZIF-67 SAs into the Er<sup>3&#x2b;</sup>-doped fiber laser cavity, stable Q-switching and mode-locking operations were achieved. To the best of our knowledge, it is the first time ZIF-67 has been implemented as SAs in a fiber laser for both Q-switching and mode-locking operations.</p>
</sec>
<sec id="s2">
<title>Fabrication and Characterization of Zeolitic Imidazolate Framework-67 Saturable Absorbers</title>
<p>We initially fabricated fiber-compatible ZIF-67 SAs to integrate the ZIF-67 materials into a fiber laser cavity. The fabrication process follows: First, bulk-state ZIF-67 crystals were ground into powder in a ball mill. Second, 2&#xa0;g purple ZIF-67 powder dispersed in 50&#xa0;ml absolute ethanol solution was stirred with magnetic force at a rate of 1,500&#xa0;rpm for 2&#xa0;h. Third, the resulting mixture was placed in an ultrasonic cleaner for 8&#xa0;h and then put into a centrifuge to remove the large sediment by high-speed centrifugation. The mixture was allowed to stand for 12&#xa0;h, and the supernatant was then taken for SAs preparation. In the final step, we dropped the ZIF-67 dispersion onto the fiber connector end facet with a dropper and placed it vertically downward until it dried naturally. After repeating this step several times, about 50&#x2013;100&#xa0;&#x3bc;l of ZIF-67 dispersion was coated onto the fiber connector end facet. A fiber-compatible ZIF-67 SA was finally obtained by connecting a dispersion-coated fiber connector to a clean fiber connector with a fiber optic adapter.</p>
<p>The surface morphology of the as-prepared ZIF-67 crystals was investigated by SEM (Quanta FEG 250, FEI) and TEM (JEM-2100F, JEOL). The SEM and TEM images show that the as-prepared ZIF-67 materials possess a rhombic dodecahedral morphology with uniform particle size distribution. The particle size is about 500&#xa0;nm. The structural characterization of the ZIF-67 materials was determined by Raman spectroscopy with a spectral resolution of 2&#xa0;cm<sup>&#x2212;1</sup>, recorded by a Raman spectrometer under 633&#xa0;nm laser excitation. The distinct vibrational modes observed in <xref ref-type="fig" rid="F1">Figure 1C</xref> generally agree with the previous research description. <xref ref-type="fig" rid="F1">Figure 1D</xref> illustrates the spectral absorbance of the ZIF-67 materials in the visible and near-infrared bands, revealing an absorption peak in the band from 1,455&#xa0;nm to 1,580&#xa0;nm.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Characteristics of the ZIF-67: <bold>(A)</bold> SEM image; <bold>(B)</bold> TEM image; <bold>(C)</bold> Raman spectrum; <bold>(D)</bold> Visible-NIR spectrum.</p>
</caption>
<graphic xlink:href="fphy-10-926344-g001.tif"/>
</fig>
<p>We further investigated the nonlinear optical absorption characteristics of the ZIF-67 SAs by using the balanced twin-detector method. The test setup is shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. A homemade nonlinear polarization rotation (NPR) EDFL with a pulse width of &#x223c;643&#xa0;fs at 1575.62&#xa0;nm and a repetition rate of 26.04&#xa0;MHz was employed as the probe light source. The transmittance at different incident light intensities was fitted by the following equation:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>T</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>&#x394;</mml:mi>
<mml:mi>T</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi>exp</mml:mi>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:msub>
<mml:mi>I</mml:mi>
<mml:mrow>
<mml:mi>s</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mo>)</mml:mo>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>T</mml:mi>
<mml:mrow>
<mml:mi>n</mml:mi>
<mml:mi>s</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <italic>T</italic> is the transmittance, &#x394;<italic>T</italic> is the modulation depth, <italic>I</italic> is the incident intensity, <italic>I</italic>
<sub>sat</sub> is the saturation intensity and <italic>T</italic>
<sub>ns</sub> is the non-saturable loss.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>The setup for determining the nonlinear optical absorption characteristics of the ZIF-67 SAs.</p>
</caption>
<graphic xlink:href="fphy-10-926344-g002.tif"/>
</fig>
<p>We tested two as-fabricated ZIF-67 SAs successively, and the tested results and the fitting curves are shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. According to the fitting curve in <xref ref-type="fig" rid="F3">Figure 3A</xref>, the saturation intensity, modulation depth, and non-saturable loss of the first ZIF-67 SA (referred to as SA1 later) are approximately 1.552&#xa0;MW/cm<sup>2</sup>, 11.212%, and 15.523%, respectively, which has been used in <xref ref-type="sec" rid="s4-1">Section 4.1</xref> to reveal the Q-switching ability of the ZIF-67 SAs. As shown in <xref ref-type="fig" rid="F3">Figure 3B</xref>, the other ZIF-67 SA (referred to as SA2 later) features a saturation intensity of 1.377&#xa0;MW/cm<sup>2</sup>, a modulation depth of 7.419%, and a non-saturable loss of 13.858%, which has been used in <xref ref-type="sec" rid="s4-2">Section 4.2</xref> to initiate the mode-locking operation.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>The nonlinear optical absorption characteristics of <bold>(A)</bold> SA1 and <bold>(B)</bold> SA2.</p>
</caption>
<graphic xlink:href="fphy-10-926344-g003.tif"/>
</fig>
</sec>
<sec id="s3">
<title>Experimental Setup</title>
<p>
<xref ref-type="fig" rid="F4">Figure 4</xref> shows the experimental setup of the pulsed Er<sup>3&#x2b;</sup>-doped fiber laser incorporating the fabricated ZIF-67 SAs. The pump energy from a 980-nm band laser diode (LD) pump source with a maximum output power of 600&#xa0;mW was guided into the laser cavity by a 980/1,550&#xa0;nm wavelength division multiplexer (WDM). A 60&#xa0;cm long Er<sup>3&#x2b;</sup>-doped fiber (EDF, Liekki Er-80, 8/125) was served as the laser gain medium with a dispersion parameter of &#x223c;15.7&#xa0;ps/nm/km. The Er<sup>3&#x2b;</sup> concentration and nominal absorption at 1,530&#xa0;nm were 3,150&#xa0;ppm and 80&#xa0;dB/m, respectively. A polarization-insensitive isolator (PI-ISO) ensured unidirectional propagation of light in the cavity. A polarization controller (PC) was used to adjust the polarization state and birefringence in the cavity. The ZIF-67 SAs were inserted between the WDM and PC. The laser output from the 10% port of a 90:10 optical coupler (OC). The temporal characteristics of the output laser were recorded by a 3&#xa0;GHz fast speed PIN photodetector combined with a digital oscilloscope (MDO3102, Tektronix). The optical spectral characteristics of the output laser were measured by an optical spectrum analyzer (AQ6370, Yokogawa). The radio-frequency (RF) spectrum was analyzed by a spectrum analyzer (FPC1000, Rohde &#x26; Schwarz). The output power was monitored by an optical power meter.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Experimental schematic of the ZIF-67-based Er<sup>3&#x2b;</sup>-doped fiber laser.</p>
</caption>
<graphic xlink:href="fphy-10-926344-g004.tif"/>
</fig>
</sec>
<sec sec-type="results|discussion" id="s4">
<title>Experimental Results and Discussions</title>
<sec id="s4-1">
<title>Q-Switching Performance</title>
<p>To exclude the possibility of the self-Q-switching or self-mode-locking operation in the EDFL without the ZIF-67 SA, we did not insert the SA into the laser cavity at first. Only continuous-wave operation was observed during the adjustment of the pump power or the PC. Instead, once the ZIF-67 SA1 was inserted into the laser cavity, the remarkable passively Q-switched pulse trains can be observed when the pump power exceeded 108&#xa0;mW. The typical oscilloscope traces of the Q-switched pulse trains under different pump power are shown in <xref ref-type="fig" rid="F5">Figure 5</xref>. As the pump power varied from 150 to 250&#xa0;mW, the pulse output stayed stable, and the repetition rates were increased from 20.58 to 29.33&#xa0;kHz. As commonly observed in passively Q-switched lasers, the pulse repetition rate increases, and the pulse width becomes narrower as the pump power increases.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>The typical oscilloscope traces of the Q-switched pulse trains under different pump power.</p>
</caption>
<graphic xlink:href="fphy-10-926344-g005.tif"/>
</fig>
<p>The corresponding optical spectrum is shown in <xref ref-type="fig" rid="F6">Figure 6A</xref>. The laser wavelength is centered at 1558.35&#xa0;nm with a 3-dB bandwidth of 0.95&#xa0;nm. <xref ref-type="fig" rid="F6">Figure 6B</xref> shows a single-pulse profile of the Q-switched pulses at the pump power of 360&#xa0;mW and exhibits that the pulse duration is 3.4&#xa0;&#xb5;s? The corresponding pulse repetition rate is 39.84&#xa0;kHz, shown in <xref ref-type="fig" rid="F7">Figure 7B</xref>. Both the pulse duration and spectral width agree with the typical feature of Q-switched fiber lasers. Varying the polarization state in the cavity hardly changes the characteristics of the pulse trains and the optical spectrum, indicating that the fiber laser&#x2019;s Q-switching operation is polarization insensitive.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A)</bold> The optical spectrum; <bold>(B)</bold> A single-pulse profile of the Q-switched pulses.</p>
</caption>
<graphic xlink:href="fphy-10-926344-g006.tif"/>
</fig>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>The evolution of <bold>(A)</bold> average output power and single pulse energy, <bold>(B)</bold> repetition rate and pulse duration as pump power increase.</p>
</caption>
<graphic xlink:href="fphy-10-926344-g007.tif"/>
</fig>
<p>The characteristics of the laser pulses as a function of pump power are shown in <xref ref-type="fig" rid="F7">Figure 7</xref>. <xref ref-type="fig" rid="F7">Figure 7A</xref> shows the dependence of the average output power and the single pulse energy on the pump power, and <xref ref-type="fig" rid="F7">Figure 7B</xref> shows the pulse duration and the pulse repetition rate versus the pump power. As the pump power increased from 120 to 360&#xa0;mW, the Q-switching operation remained stable. The average output power increased almost linearly with the pump power, from 9.75 to 24.67&#xa0;mW. The single pulse energy can reach up to 592.59&#xa0;nJ. The pulse duration gradually decreased from 9.1 to 3.4&#xa0;&#xb5;s? However, when the pump power reached 380&#xa0;mW, the pulses turned unstable, and the top of the pulse tended to split. The pulse width was slightly widened to 3.6&#xa0;&#xb5;s, resulting in a decrease in the single pulse energy to 577.59&#xa0;nJ. Unlike the mode-locking operation, the generation of Q-switched pulses relies on the saturation of SA, which causes the repetition rate of the pulses to depend on the pump power rather than the cavity length. As shown in <xref ref-type="fig" rid="F7">Figure 7B</xref>, the repetition rate is positively correlated with the pump power. The repetition rate increases from 18.08 to 42.71&#xa0;kHz along with the increase of pump power from 120 to 360&#xa0;mW. The reason is that the SA will saturate faster when increasing the pump power, which leads to an increase in repetition rate.</p>
</sec>
<sec id="s4-2">
<title>Mode-Locking Performance</title>
<p>Then, we inserted the other ZIF-67 SA (SA2) with an additional &#x223c;8&#xa0;m of single-mode fiber (SMF) into the cavity. The dispersion parameter of the SMF is &#x223c;17&#xa0;ps/nm/km. The total length of the cavity is about 16.25&#xa0;m. Thus, the net dispersion of the Er<sup>3&#x2b;</sup>-doped fiber laser is calculated to be &#x2212;0.35&#xa0;ps<sup>2</sup>.</p>
<p>After carefully adjusting the PC in the cavity, a stable self-started mode-locking operation was achieved when the pump power reached 90&#xa0;mW. Limited by the maximum nominal power of 600&#xa0;mW, the pump power was adjusted in the range of 90&#x2013;530&#xa0;mW, and the mode-locking operation can be maintained stable.</p>
<p>The mode-locking performance at the pump power of 410&#xa0;mW is shown in <xref ref-type="fig" rid="F8">Figure 8</xref>. A typical mode-locked pulse train with a pulse-to-pulse interval of 79.08&#xa0;ns is shown in <xref ref-type="fig" rid="F8">Figure 8A</xref>, corresponding to a fundamental repetition rate of 12.646&#xa0;MHz with a total laser cavity length of &#x223c;16.25&#xa0;m. The oscilloscope trace of a single mode-locked pulse is shown in <xref ref-type="fig" rid="F8">Figure 8B</xref>. Due to the limitations of the response times of the detector and oscilloscope, the actual pulse duration is undoubtedly shorter than the bandwidth of 2.2&#xa0;ns recorded by the oscilloscope. The optical spectrum with a central wavelength of 1559.672&#xa0;nm and a resolution bandwidth of 0.02&#xa0;nm is shown in <xref ref-type="fig" rid="F8">Figure 8C</xref>, where a typical Kelley sideband peak can be observed. <xref ref-type="fig" rid="F8">Figure 8D</xref> shows the relationship between the average output power and the pump power, and it is clear that the output power is linearly related to the pump power. The maximum average output power was 24.58&#xa0;mW under a pump power of 530&#xa0;mW. As shown in <xref ref-type="fig" rid="F9">Figure 9</xref>, the RF spectrum with a bandwidth of 4&#xa0;MHz and a resolution of 1&#xa0;kHz depicts the stability of the mode-locked laser with the fundamental repetition rate of 12.646&#xa0;MHz. Continuous 4-h observation of the oscilloscope traces and optical spectra of the mode-locked pulses was performed to verify the long-term stability of the fiber laser. The pulse train and the central wavelength of the spectrum were always stable. After we stopped the laser for 24&#xa0;h and turned the pump on again, the mode-locked pulse was still outputting stably, and the laser center wavelength was still stable at 1559.6&#xa0;nm, which illustrates the long-term stability of the laser.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Mode-locking performance: <bold>(A)</bold> Oscilloscope trace of the pulse train; <bold>(B)</bold> Oscilloscope trace of a single pulse; <bold>(C)</bold> Optical spectrum; <bold>(D)</bold> Output power versus pump power.</p>
</caption>
<graphic xlink:href="fphy-10-926344-g008.tif"/>
</fig>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>RF spectrum at a fundamental frequency of 12.646&#xa0;MHz with 1&#xa0;kHz resolution. The unit of the vertical axis is dBm.</p>
</caption>
<graphic xlink:href="fphy-10-926344-g009.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="conclusion" id="s5">
<title>Conclusion</title>
<p>In this paper, the nonlinear optical absorption characteristics of the ZIF-67 SAs were discovered and investigated. The two fabricated ZIF-67 SAs with the modulation depth of 11.212% and 7.419% were subsequently used to implement stable Q-switching and mode-locking operations, respectively. Self-started Q-switched pulses at 1558.35&#xa0;nm can be observed with a threshold pump power of 108&#xa0;mW. The Q-switched pulse train remained stable as the pump power increased from 120 to 360&#xa0;mW. The maximum single pulse energy can reach up to 592.59&#xa0;nJ. The top of the pulse started to split until the pump power rose to 380&#xa0;mW, resulting in a slight decrease in the single pulse energy and an increase in pulse duration. In the mode-locking operation, a typical mode-locked pulse train with a pulse-to-pulse interval of 79.08&#xa0;ns and a central wavelength of 1559.672&#xa0;nm was recorded with a total laser cavity length of &#x223c;16.25&#xa0;m. The typical Kelley sideband peak can also be observed. These results demonstrate that the ZIF-67-based SA can serve as a promising mode locker and Q-switcher in the field of ultrafast lasers.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/supplementary material, further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Author Contributions</title>
<p>PW: conceptualization, methodology, original draft preparation. CZ: reviewing and editing.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>This work is supported by National Natural Science Foundation of China (61705080); Promotive Research Fund for Excellent Young and Middle-aged Scientists of Shandong Province (ZR2016FB17, BS2015DX005); Scientific Research Foundation of Liaocheng University (318012101); Startup Foundation for Advanced Talents of Liaocheng University (318052156, 318052157).</p>
</sec>
<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>
</sec>
<sec sec-type="disclaimer" id="s10">
<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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