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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mater.</journal-id>
<journal-title>Frontiers in Materials</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mater.</abbrev-journal-title>
<issn pub-type="epub">2296-8016</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1133287</article-id>
<article-id pub-id-type="doi">10.3389/fmats.2023.1133287</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Materials</subject>
<subj-group>
<subject>Review</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Recent advances in microwave-absorbing materials fabricated using organic conductive polymers</article-title>
<alt-title alt-title-type="left-running-head">Peymanfar 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/fmats.2023.1133287">10.3389/fmats.2023.1133287</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Peymanfar</surname>
<given-names>Reza</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1744465/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dogari</surname>
<given-names>Haniyeh</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Selseleh-Zakerin</surname>
<given-names>Elnaz</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Hedayatzadeh</surname>
<given-names>Mohammad Hossein</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Daneshvar</surname>
<given-names>Sara</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2158557/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Amiri-Ramsheh</surname>
<given-names>Nasim</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2157132/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Ghafuri</surname>
<given-names>Hossein</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Mirkhan</surname>
<given-names>Ali</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Ji</surname>
<given-names>Guangbin</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2004162/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Aslibeiki</surname>
<given-names>Bagher</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1187407/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Health Safety and Environment (HSE)</institution>, <institution>Energy Institute of Higher Education</institution>, <addr-line>Saveh</addr-line>, <country>Iran</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Science</institution>, <institution>Iranian Society of Philosophers</institution>, <addr-line>Tehran</addr-line>, <country>Iran</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Peykareh Enterprise Development Co.</institution>, <addr-line>Tehran</addr-line>, <country>Iran</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Catalysts and Organic Synthesis Research Laboratory</institution>, <institution>Department of Chemistry</institution>, <institution>Iran University of Science and Technology</institution>, <addr-line>Tehran</addr-line>, <country>Iran</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>College of Materials Science and Technology</institution>, <institution>Nanjing University of Aeronautics and Astronautics</institution>, <addr-line>Nanjing</addr-line>, <country>China</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Faculty of Physics</institution>, <institution>University of Tabriz</institution>, <addr-line>Tabriz</addr-line>, <country>Iran</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/177276/overview">Guilherme Mariz de Oliveira Barra</ext-link>, Federal University of Santa Catarina, Brazil</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/1035694/overview">Yassine Slimani</ext-link>, Imam Abdulrahman Bin Faisal University, Saudi Arabia</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1549273/overview">Hualiang Lv</ext-link>, The Ohio State University, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Reza Peymanfar, <email>reza_peymanfar@alumni.iust.ac.ir</email>; Hossein Ghafuri, <email>ghafuri@iust.ac.ir</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Polymeric and Composite Materials, a section of the journal <italic>Frontiers in Materials</italic>
</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>06</day>
<month>03</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>10</volume>
<elocation-id>1133287</elocation-id>
<history>
<date date-type="received">
<day>28</day>
<month>12</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>16</day>
<month>02</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Peymanfar, Dogari, Selseleh-Zakerin, Hedayatzadeh, Daneshvar, Amiri-Ramsheh, Ghafuri, Mirkhan, Ji and Aslibeiki.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Peymanfar, Dogari, Selseleh-Zakerin, Hedayatzadeh, Daneshvar, Amiri-Ramsheh, Ghafuri, Mirkhan, Ji and Aslibeiki</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>Microwave-absorbing materials are widely utilized in military and civilian applications. Moreover, their environmental potential to refine electromagnetic pollution has promoted their importance. An ideal conjugated organic polymer for use as a microwave-absorbing material should possess high porosity, low density, a long conjugated backbone, a narrow energy band gap, proper conductive and relaxation loss, and vast specific surface area. This review describes the conductive polymer types used as microwave-absorbing material and their composites toward improving microwave-absorbing capability. Additionally, recent developments in synthetic strategies and structural properties of pure carbon-based microwave-absorbing materials and other conjugated structures having heteroatoms in their chains are discussed. In the field of microwave absorbers, the predominant microwave-absorbing mechanisms among conductive polymers and their composites as well as the special mechanisms for tuning microwave-absorbing characteristics, including metamaterial and quasi-antenna features, are dissected. This review sheds new light on architecting low-density and high-performance microwave-absorbing structures and offers new prospects in tailoring conjugated polymers based on their dominant mechanisms.</p>
</abstract>
<kwd-group>
<kwd>conductive polymer</kwd>
<kwd>microwave-absorbing materials</kwd>
<kwd>dielectric structures</kwd>
<kwd>conjugated polymer</kwd>
<kwd>metamaterial</kwd>
<kwd>quasi-antennas</kwd>
</kwd-group>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Microwave-absorbing materials play a crucial role in preserving human and environmental health by controlling and reducing electromagnetic pollution (<xref ref-type="bibr" rid="B72">Peymanfar et al., 2021a</xref>; <xref ref-type="bibr" rid="B56">Lv et al., 2021</xref>; <xref ref-type="bibr" rid="B14">Cheng et al., 2022</xref>; <xref ref-type="bibr" rid="B46">Lei et al., 2022</xref>; <xref ref-type="bibr" rid="B54">Lou et al., 2022</xref>). The vital factors mitigating microwaves are magnetic and dielectric losses by converting electromagnetic energy to heat energy (<xref ref-type="bibr" rid="B75">Peymanfar and Fazlalizadeh, 2021</xref>; <xref ref-type="bibr" rid="B121">Yang et al., 2022a</xref>). Accordingly, massive efforts have been made to architect microwave-absorbing material to protect against electromagnetic pollution.</p>
<p>Recently, scientists have focused on architecting high-performance microwave-absorbing materials with a broad efficient bandwidth and strong absorption properties. Many studies have reported on metal nanoparticles, ceramics, and conductive polymers, considered the principal components of electromagnetic wave-absorbing materials in the matrix (<xref ref-type="bibr" rid="B51">Li et al., 2019</xref>; <xref ref-type="bibr" rid="B50">Li et al., 2022</xref>; <xref ref-type="bibr" rid="B57">Lv et al., 2022</xref>). An ideal microwave-absorbing structure has a broad bandwidth, low matching thickness, lightweight and affordable properties, strong absorption, and facile experimental scenarios. A practical microwave-absorbing structure should have dielectric and magnetic characteristics to allow proper impedance matching. By establishing natural and exchange resonance, magnetic structures amplify the permeability desirable for electromagnetic attenuation (<xref ref-type="bibr" rid="B130">Zhang et al., 2021a</xref>). The presence of heteroatoms in conductive polymers provides permeability by creating metamaterial features (<xref ref-type="bibr" rid="B84">Peymanfar et al., 2020a</xref>; <xref ref-type="bibr" rid="B82">Peymanfar et al., 2020b</xref>; <xref ref-type="bibr" rid="B75">Peymanfar and Fazlalizadeh, 2021</xref>; <xref ref-type="bibr" rid="B74">Peymanfar et al., 2022</xref>). Polyaniline, polythiophene, polypyrrole, and polydopamine are the pioneer and effective conductive polymers that feature heteroatoms in their backbones and are used in fabricating microwave-absorbing components (<xref ref-type="bibr" rid="B19">Das and Prusty, 2012</xref>; <xref ref-type="bibr" rid="B110">Wang, 2014</xref>; <xref ref-type="bibr" rid="B109">Wang et al., 2017</xref>; <xref ref-type="bibr" rid="B79">Peymanfar et al., 2019a</xref>; <xref ref-type="bibr" rid="B84">Peymanfar et al., 2020a</xref>; <xref ref-type="bibr" rid="B82">Peymanfar et al., 2020b</xref>; <xref ref-type="bibr" rid="B118">Xue et al., 2020</xref>; <xref ref-type="bibr" rid="B87">Peymanfar et al., 2021b</xref>; <xref ref-type="bibr" rid="B96">Soares et al., 2021</xref>; <xref ref-type="bibr" rid="B74">Peymanfar et al., 2022</xref>). Moreover, the size and shape of electromagnetic absorbers influence the tuning of microwave-absorbing characteristics by enhancing polarization loss and establishing secondary fields (<xref ref-type="bibr" rid="B86">Peymanfar et al., 2018</xref>; <xref ref-type="bibr" rid="B75">Peymanfar and Fazlalizadeh, 2021</xref>). The energy band gap, a crucial factor regulating conductive and dielectric loss characteristics, is tuned by modifying the nanostructure shape (<xref ref-type="bibr" rid="B86">Peymanfar et al., 2018</xref>; <xref ref-type="bibr" rid="B71">Peymanfar et al., 2020c</xref>; <xref ref-type="bibr" rid="B76">Peymanfar and Fazlalizadeh, 2020</xref>; <xref ref-type="bibr" rid="B81">Peymanfar et al., 2021c</xref>).</p>
<p>Morphological change in conjugated conducting polymers can also change the orbital orientations to modulate conductive loss and multiple reflections and scatterings and alter the path of electron transmission and penetration to tune relaxation loss (<xref ref-type="bibr" rid="B21">Ding et al., 2012</xref>; <xref ref-type="bibr" rid="B119">Yan et al., 2018</xref>; <xref ref-type="bibr" rid="B71">Peymanfar et al., 2020c</xref>; <xref ref-type="bibr" rid="B76">Peymanfar and Fazlalizadeh, 2020</xref>; <xref ref-type="bibr" rid="B29">Guan et al., 2021</xref>). Conjugated organic substances have high dielectric loss capabilities. Three reported methods can be used to improve the dielectric loss capability of this class of materials: 1) enhancing the specific surface area by augmenting the porosity, increasing the surface area-to-volume ratio desirable for polarization loss, and eventually reducing the density by diminishing the filler amount; 2) compositing the conductive polymers with functional materials to enhance impedance matching, establish permeability, and promote other essential microwave-absorbing mechanisms; and 3) doping the materials with heteroatoms: establishing unpaired spins and regulating conductive loss, generating magnetic order, developing dipole polarization, improving quasi-antenna characteristics and impedance matching, and tuning the energy band gap (<xref ref-type="bibr" rid="B133">Zhao et al., 2016</xref>).</p>
<p>Recently, new materials, known as metamaterials, have been identified, which have attracted attention for electromagnetic wave absorption as well as optical and plasmonic fields. Metamaterials have inverse electromagnetic responses with remarkable absorption. Metamaterials provide electric and magnetic resonances, boosting impedance matching and maximizing reflection loss by augmenting the propagation of incident waves in the absorbing medium (<xref ref-type="bibr" rid="B21">Ding et al., 2012</xref>). More interestingly, the polarized structures under the alternating fields can act as quasi-antennas, resulting in secondary fields and metamaterial features (<xref ref-type="bibr" rid="B119">Yan et al., 2018</xref>).</p>
<p>This review evaluated the microwave-absorbing ability of various types of conjugated conductive polymers. The synthesis routes, structural characteristics, and microwave-absorbing mechanisms of this type of material were highlighted to pave the way for future research. Subsequently, recent developments in the field of quasi-antenna and metamaterial characteristics related to conducting organic polymers were discussed. Finally, state-of-the-art research in conductive polymers was highlighted and the horizon of cutting-edge microwave-absorbing developments was broadened by investigating the mechanisms of the microwave-absorbing capability of conjugated organic polymers and related structures as well as their structural properties to generate lightweight and high-performance absorbers.</p>
</sec>
<sec id="s2">
<title>2 Microwave-absorbing materials fabricated by conductive polymers</title>
<p>Organic conductive polymers are constructed based on pure conjugated carbon and carbonaceous structures with heteroatoms in their polymeric backbone. The facile charge transitions from <italic>&#x3c0;</italic> to &#x3c0;&#x2a; and from n to &#x3c0;&#x2a; provide their salient conductive and dielectric losses along the SP<sup>2</sup> hybridization. The morphology, defects, orbital orientation, chain length, and remaining functional groups of the pure carbon-based conductive polymers define their microwave-absorbing performance, while the orbital orientation, guest electronegativity, defects, morphology, chain length, and non-bonding electrons on the hetero atoms associated with other types of organic conductive polymers clarify their electromagnetic responses.</p>
<p>Conductive polymer structures have attracted attention in the field of energy conversion and storage due to their excellent electrical characteristics. The microwave-absorbing performances of the conjugated polymers are strongly affected by their chemical structures, orbital orientations, and morphologies. Elemental doping, as well as dielectric and magnetic components, has been applied to enhance microwave-absorbing features and achieve synergistic effects. This review discusses recent advances in conductive polymer structures composed of conjugated carbon and other organic polymers with heteroatoms. The microwave-absorbing properties of the materials are estimated according to their complex permittivity (&#x3b5;<sub>r</sub> &#x3d; &#x3b5;&#x2032; &#x2212;j&#x3b5;&#x2032;&#x2032;) and permeability (&#x3bc;<sub>r</sub> &#x3d; <italic>&#xb5;</italic>&#x2032; &#x2212; j&#x3bc;&#x2033;) to establish impedance matching. The prime notation refers to the storage ability, while the double-prime notation indicates the attenuation capacity of an absorber. The microwave absorption potential is examined based on the reflection loss (RL) curves obtained by the transmission line theory. <xref ref-type="fig" rid="F1">Figure 1</xref> presents an overview of the conjugated carbon-based polymers and the microwave-absorbing mechanisms of their structures.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Schematic diagram of conductive polymer-based microwave-absorbing materials and the related microwave-absorbing mechanisms.</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g001.tif"/>
</fig>
<sec id="s2-1">
<title>2.1 Carbon-based conductive polymers and their microwave-absorbing structures</title>
<p>Carbon-based microwave-absorbing materials (MAMs) have received attention in recent decades, from fundamental theoretical study to experimental design and analysis, due to the pursuit of this type of MAM for their excellent microwave-absorbing ability, and broad efficient bandwidth features, and lightweight and thin format (<xref ref-type="bibr" rid="B133">Zhao et al., 2016</xref>; <xref ref-type="bibr" rid="B29">Guan et al., 2021</xref>). Although conjugated carbonaceous materials with different morphologies have high dielectric losses, single dielectric loss shows inefficient bandwidth in electromagnetic absorption (EMA) owing to impedance mismatching. Metals, metal oxides, metal sulfides, elements, and other magnetic and dielectric materials have been anchored to the carbonaceous materials including carbon nanotubes (CNTs) (<xref ref-type="bibr" rid="B63">Munir, 2017</xref>; <xref ref-type="bibr" rid="B80">Peymanfar et al., 2019b</xref>; <xref ref-type="bibr" rid="B70">Peymanfar et al., 2019c</xref>; <xref ref-type="bibr" rid="B62">Mo et al., 2019</xref>; <xref ref-type="bibr" rid="B13">Chen et al., 2021a</xref>; <xref ref-type="bibr" rid="B53">Liu et al., 2021</xref>; <xref ref-type="bibr" rid="B105">Wang et al., 2022</xref>), carbon fibers (CFs) (<xref ref-type="bibr" rid="B85">Peymanfar and Moradi, 2020</xref>; <xref ref-type="bibr" rid="B107">Wang et al., 2020</xref>; <xref ref-type="bibr" rid="B12">Chen et al., 2021b</xref>; <xref ref-type="bibr" rid="B11">Chen et al., 2021c</xref>; <xref ref-type="bibr" rid="B30">Gunwant and Vedrtnam, 2021</xref>; <xref ref-type="bibr" rid="B97">Song et al., 2021</xref>; <xref ref-type="bibr" rid="B111">Wu et al., 2021</xref>), carbon spheres (<xref ref-type="bibr" rid="B65">Ning et al., 2020a</xref>; <xref ref-type="bibr" rid="B126">Zhang et al., 2020a</xref>; <xref ref-type="bibr" rid="B72">Peymanfar et al., 2021a</xref>; <xref ref-type="bibr" rid="B97">Song et al., 2021</xref>), carbon micro-tubes (<xref ref-type="bibr" rid="B89">Peymanfar et al., 2021d</xref>), activated carbon (<xref ref-type="bibr" rid="B59">Mahmoodi et al., 2022</xref>), graphene (<xref ref-type="bibr" rid="B48">Li et al., 2017</xref>; <xref ref-type="bibr" rid="B61">Meng et al., 2018</xref>; <xref ref-type="bibr" rid="B108">Wang et al., 2019a</xref>; <xref ref-type="bibr" rid="B73">Peymanfar et al., 2019d</xref>; <xref ref-type="bibr" rid="B135">Zhi et al., 2021</xref>; <xref ref-type="bibr" rid="B112">Wu et al., 2022</xref>), carbon net-like morphology (<xref ref-type="bibr" rid="B77">Peymanfar and Ghorbanian-Gezaforodi, 2021</xref>), and carbon black (<xref ref-type="bibr" rid="B37">Ibrahim et al., 2020</xref>; <xref ref-type="bibr" rid="B43">Lalan and Ganesanpotti, 2020</xref>). This phenomenon can effectively enhance the microwave-absorbing ability of the conjugated structures due to the tunable electromagnetic properties and emergent synergetic loss mechanisms in the tailored composites (<xref ref-type="bibr" rid="B24">Duan et al., 2018</xref>; <xref ref-type="bibr" rid="B12">Chen et al., 2021b</xref>; <xref ref-type="bibr" rid="B29">Guan et al., 2021</xref>; <xref ref-type="bibr" rid="B41">Kumar et al., 2021</xref>).</p>
<p>In recent years, conjugated carbonaceous materials composited with different structures that provide outstanding microwave absorption have been reported. For instance, Che et al. architected a special conductive network with two types of carbonaceous structures with increased conductive and dielectric features. The ternary-phased C@Fe<sub>2</sub>O<sub>3</sub>@MWCNTs (CFC) showed diverse mechanisms consisting of the combination of relaxation and conductive losses, leading to thin, lightweight, and high-performance microwave absorbers. <xref ref-type="fig" rid="F2">Figure 2A</xref> shows the possible microwave-absorbing mechanisms in the absorbing medium.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(Aa&#x2013;d)</bold> Related microwave absorption mechanisms of C@Fe<sub>2</sub>O<sub>3</sub>@MWCNT composites, <bold>(Ba)</bold> real parts of the complex permittivity (&#x3b5;&#x2032;), <bold>(Bb)</bold> imaginary parts of the complex permittivity (&#x3b5;&#x27;&#x27;), and <bold>(Bc)</bold> the strongest absorption curve of the samples (<xref ref-type="bibr" rid="B108">Wang et al., 2019a</xref>).</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g002.tif"/>
</fig>
<p>As shown in <xref ref-type="fig" rid="F2">Figure 2Ba</xref>, higher MWCNT content causes more permittivity, suggesting a more conducive polarization loss mechanism.</p>
<p>
<xref ref-type="fig" rid="F2">Figure 2Bc</xref> shows a diagram of RL <italic>versus</italic> the frequency of microwave absorbers with diverse MWCNT ratios. The optimized absorber showed high-performance MA, with an RL of &#x2212;49.9&#xa0;dB at 2.0&#xa0;mm in thickness. The multiphase component augmented the heterogeneous interfaces desirable for interfacial polarization (<xref ref-type="bibr" rid="B108">Wang et al., 2019a</xref>).</p>
<p>Wang et al. used two fascinating ternary structures, Ni@carbon nano-onions and Ni/carbon nanotubes anchored to graphene surfaces (Ni@C/G and Ni/CNT/G), tailored through an atomic layer deposition (ALD) NiO. Two different carbonaceous morphologies comprising carbon nano-onions and CNTs were grown on the surface of graphene using a chemical vapor deposition scenario. The unique morphologies provided the absorbers with multiple reflections and scattering, relaxation loss, natural and exchange resonance, eddy current loss, impedance matching, and conductive networks, which promoted microwave absorption. The results showed that the hybrid architectures demonstrated proper microwave-absorbing features with low filling ratios at low-frequency ranges compared to the related structures. The associated microwave-absorbing mechanisms are summarized in <xref ref-type="fig" rid="F3">Figure 3A</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(A)</bold> Schematic illustration of the primary microwave-absorbing mechanisms in the Ni@C/G and Ni/CNT/G absorbers, <bold>(Ba,b)</bold> real and imaginary parts of the permittivity of the samples, <bold>(Ca,b)</bold> complex permeability <italic>versus</italic> frequency of NCG 100, NCG 200, NCG 400, and NCG 600, and <bold>(D)</bold> summarized RL results of the samples (<xref ref-type="bibr" rid="B117">Xu et al., 2020</xref>).</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g003.tif"/>
</fig>
<p>The &#x3b5;&#x2032; and <italic>&#x3b5;</italic>" of NCG with different Ni ratios are shown in <xref ref-type="fig" rid="F3">Figures 3Ba, b</xref>. The imaginary and real parts of the permittivity are tunable by varying the Ni content. The permittivity curves essentially originated from the conductive loss and polarization. The complex permeability curves of NCG samples are shown in <xref ref-type="fig" rid="F3">Figures 3Ca, b</xref>. The bumps are associated with natural and exchange resonances due to the presence of Ni. NCG 100 showed a maximum RL of &#x2212;45.5&#xa0;dB at 6.2&#xa0;GHz with efficient bandwidth as wide as 5.6&#xa0;GHz at a thickness of 2.5&#xa0;mm. <xref ref-type="fig" rid="F3">Figure 3D</xref> compares the RLs of the samples with diverse Ni contents, demonstrating the effect of Ni amount on microwave absorption (<xref ref-type="bibr" rid="B117">Xu et al., 2020</xref>).</p>
<p>Peymanfar et al. designed an interesting microwave-absorbing nanocomposite by wrinkling a nickel nanosheet and using it to cover grape-like carbon microspheres (CMSs). They also investigated the effects of the absorbing medium on the characteristics of microwave absorption. In the reported work, 2D Ni nanostructures were first prepared. Next, CMSs fabricated by the conventional hydrothermal method were decorated with the wrinkled nickel nanosheets using an ultrasonic and hydrothermal procedure. The special morphology obtained by wrinkled structure enhanced the polarization loss, boosting the microwave absorption. CMSs have a high surface area, low density, and proper dielectric properties owing to their conjugated structures. The effects of the combination of CMSs and Ni in PS and PVDF matrices showed improved electromagnetic absorption. Loading the CMSs diminished the matching thickness by modulating the complex permittivity and permeability, governed by the quarter wavelength mechanism. Compared to the sample fabricated by PS, PVDF showed increased impedance matching and magnetic loss while reducing the relaxation loss. All the tailored samples exhibited narrow band gaps and substantial magnetic features. Notably, the results demonstrated that the architected microwave-absorbing and shielding structures showed considerable reflection loss, efficient bandwidth, and shielding properties with thin thickness owing to the wrinkled morphology of Ni and the applied media. <xref ref-type="fig" rid="F4">Figure 4A</xref> showed the possible microwave-absorbing mechanisms in the absorbing matrix. As shown in <xref ref-type="fig" rid="F4">Figure 4C</xref>, the Ni-containing composites exhibited diverse notches due to their natural and exchange resonances. Substitution of the PS by PVDF increased the imaginary part of the permeability but diminished both real and imaginary parts of the permittivity. The results also demonstrated that loading the CMSs generally boosted the real part of the permittivity compared to the Ni/PS nanocomposite. Moreover, the significant real part of the Ni(OH)<sub>2</sub>/PS was established by dipole polarization and enhanced n &#x2192; &#x3c0;&#x2a; transitions owing to the existing hydroxyl functional groups. <xref ref-type="fig" rid="F4">Figure 4B</xref> shows the diagram of RL <italic>versus</italic> the frequency of microwave absorbers for the combination of different components. A comparison of the curves demonstrates the importance of carbon-based microspheres in ameliorating the microwave absorption. The maximum RL of the wrinkled Ni/PS was &#x2212;50.53&#xa0;dB at 11.52&#xa0;GHz while that for the CMS/Ni/PVDF was &#x2212;90.29&#xa0;at 10.68&#xa0;GHz (<xref ref-type="bibr" rid="B72">Peymanfar et al., 2021a</xref>; <xref ref-type="bibr" rid="B56">Lv et al., 2021</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> Illustrative diagram of the microwave-absorbing mechanisms in CMC/Ni systems, <bold>(B)</bold> best RL values, <bold>(Ca,b)</bold> real and imaginary parts of permeability, and <bold>(Cc,d)</bold> real and imaginary parts of the permittivity of the samples (<xref ref-type="bibr" rid="B72">Peymanfar et al., 2021a</xref>).</p>
</caption>
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</fig>
<p>
<xref ref-type="bibr" rid="B20">Diao et al. (2021</xref>) were the first to design functional Bi<sub>2</sub>Te<sub>2.7</sub>Se<sub>0.3</sub>/graphene foam (BTSGF) composites with thermoelectric materials Bi<sub>2</sub>Te<sub>2.7</sub>Se<sub>0.3</sub> (BTS) and GF showing satisfactory conductive and dielectric properties. In this structure, GF is the main component, with a conjugated backbone and high porosity that ameliorates the wave path, impedance matching, and RL. This material has intrinsic electromagnetic-absorbing properties due to its conjugated structure, resulting in conductive and relaxation losses as well as multiple reflections and scattering. To further improve the absorbing strength of the GF, the authors combined the BTS and graphene to form Bi<sub>2</sub>Te<sub>2.7</sub>Se<sub>0.3</sub>/GF (BTSGF) composites through a solvothermal self-assembly method. The BTSGF composites showed enhanced microwave attenuation (MA) properties due to the various synergistic effects of BTS and GF, including conductive and polarization losses. More importantly, the BTS susceptibility to energy conversion is desirable for electromagnetic wave attenuation. Therefore, the authors proposed a new electromagnetic wave thermo-electric loss MA mechanism, which is of great significance to the study of thermoelectric materials as high-efficiency MA materials.</p>
<p>
<xref ref-type="fig" rid="F5">Figure 5A</xref> shows the frequency dependence of the &#x3b5;&#x2032; of BTSGF for different BTS loadings and annealing temperatures. As the calcination temperature increases, the &#x3b5;&#x2032; of BTSGF with a lower BTS loading is basically unchanged, while the &#x3b5;&#x2032; of BTSGF with a higher BTS loading (especially 90&#xa0;wt%) increases significantly. The representative RL curves of BTS9GF-200 with different thicknesses are shown in <xref ref-type="fig" rid="F5">Figure 5B</xref>. BTSGF with high BTS loading and annealing temperatures showed increasing thermoelectric properties and improved microwave absorption. Therefore, both the BTS loading and annealing temperature help to amplify the electromagnetic elimination of BTSGF. The optimized absorber showed high-performance MA properties with an RL of &#x2212;73.0&#xa0;dB at 5.0&#xa0;mm in thickness (<xref ref-type="bibr" rid="B20">Diao et al., 2021</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(Aa&#x2013;d)</bold> Real and imaginary parts of the permittivity of the samples without additional annealing or at 200&#xb0;C, 300&#xb0;C, and 400&#xb0;C annealing, respectively. <bold>(B)</bold> RL <italic>versus</italic> frequency curves of a selected sample with the best performance (<xref ref-type="bibr" rid="B20">Diao et al., 2021</xref>).</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g005.tif"/>
</fig>
<p>
<xref ref-type="bibr" rid="B9">Cao et al. (2015)</xref> (<ext-link ext-link-type="uri" xlink:href="https://pubs.rsc.org/en/content/articlelanding/2015/tc/c5tc02185e/unauth">https://pubs.rsc.org/en/content/articlelanding/2015/tc/c5tc02185e/unauth</ext-link>) produced ultrathin graphene as a lightweight microwave absorber with high efficiency in thermally harsh environments by fabricating graphene oxide (GO) according to the modified Hummers&#x2019; method and subsequent solution-based GO reduction. Graphene is a fascinating carbon-based material for microwave absorption owing to its lightweight structure; high specific surface area; notable charge carrier mobility; abundant defects; and numerous functional groups including hydroxyl, epoxy, and carboxyl groups, which increase relaxation loss. The composite exhibited different dependencies on changing temperature and concentrations toward imaginary permittivity and microwave absorption.</p>
<p>
<xref ref-type="fig" rid="F6">Figure 6A</xref> shows the imaginary parts of permittivity <italic>versus</italic> temperature for different frequencies and ratios of graphene composites. The graph demonstrates that the conductivity and polarization tune the imaginary part of permittivity. The higher the graphene content, as the conjugated and conductive parts, the higher the permittivity, indicating more conductive and polarization losses. The imaginary permittivity of the graphene (3&#xa0;wt%) composite was lower than others because the conductive network is not formed in the composite; thus, polarization loss is the main factor. Conductive networks form in the graphene (7&#xa0;wt%) composite, augmenting the conductive loss. Therefore, a balance is formed between the increasing conductivity and decreasing polarization with increasing temperature; hence, the imaginary permittivity remains stable. In addition, the conductivity of the composite is higher in the 11&#xa0;wt% composite, indicating that the imaginary permittivity increased with increasing temperature. <xref ref-type="fig" rid="F6">Figure 6B</xref> demonstrates the reflection loss <italic>versus</italic> frequency for different graphene ratios. However, the expected result was better RL in the 11&#xa0;wt% composite due to better dipole polarization and hopping conductivity; at some point, more GO will lead to more impedance mismatching and more reflection. Therefore, the 7&#xa0;wt% composite showed better microwave-absorption properties compared to the 3&#xa0;wt% and 11&#xa0;wt% composites, showing the best RL of &#x2212;42&#xa0;dB with 2.1&#xa0;mm thickness at 413&#xa0;K. Accordingly, the fabricated ultrathin graphene composites showed highly efficient microwave absorption and thermal-stable permittivity at elevated temperatures.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(Aa,c,e)</bold> Imaginary parts of the permittivity of the 3&#xa0;wt%, 7&#xa0;wt%, and 11&#xa0;wt% composites <italic>versus</italic> temperature at different frequencies. <bold>(Ab,d,f)</bold> Loss tangents of the 3&#xa0;wt%, 7&#xa0;wt%, and 11&#xa0;wt% composites <italic>versus</italic> temperature at different frequencies. <bold>(B)</bold> Strongest RL curve of the samples (<xref ref-type="bibr" rid="B9">Cao et al., 2015</xref>) (<ext-link ext-link-type="uri" xlink:href="https://pubs.rsc.org/en/content/articlelanding/2015/tc/c5tc02185e/unauth">https://pubs.rsc.org/en/content/articlelanding/2015/tc/c5tc02185e/unauth</ext-link>).</p>
</caption>
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</fig>
<p>Ji et al. designed a microwave absorber consisting of conjugated organic and inorganic sulfide materials to enhance MA performance and reduce IR emissivity. The authors modified the phase components (reduced GO (rGO) and CuS phases) and micro/nanostructure (microporous and nanosheet) by adjusting the amounts of CuS. Additionally, they changed the method of reduction (hydrothermal and ascorbic acid reduction), resulting in variations of pore structure and defects and modulation of the complex permittivity and microwave absorption. According to the structure of the composite aerogels, including rC-3 (hydrothermal reduction, 30&#xa0;mg CuS), rC-4 (hydrothermal reduction, 60&#xa0;mg CuS), and RC-4 (ascorbic acid reduction, 30&#xa0;mg CuS), the EM parameters were further explored. As shown in <xref ref-type="fig" rid="F7">Figures 7a&#x2013;d</xref>, various CuS@rGO composite aerogel structures can be obtained by adjusting the amount of CuS and reduction methods. In addition, as illustrated in <xref ref-type="fig" rid="F7">Figures 7d, e, f</xref>, rC&#x2212;4 had the largest average dielectric complex permittivity, implying the stronger dielectric loss due to the higher CuS content in rC-4 compared to rC-3 due to more interfacial polarization. Furthermore, rC&#x2212;4 formed more defects than RC-4 because the rGO in rC&#x2212;4 was reduced at 120&#xb0;C, compared to 95&#xb0;C for RC-4. Moreover, rC&#x2212;4 had a larger pore diameter than RC&#x2212;4, which allowed higher attenuation of electromagnetic waves (EMWs). Although rC&#x2212;4 showed excellent dielectric loss, RC-4 displayed excellent attenuation capacity (<italic>&#x3b1;</italic>) and impedance matching (Z) among the composite aerogels, with good absorbing performance. The superior efficiency may have occurred due to the higher number of functional groups and defects. As shown in <xref ref-type="fig" rid="F7">Figure 7B</xref>, CuS@rGO composite aerogel obtained using ascorbic acid as a reductive agent showed an RL of &#x2212;60.3&#xa0;dB with a lower filler content (2&#xa0;wt%) at a thickness of 3.5&#xa0;mm. Thus, this work offered a facile method to design and develop porous rGO-based composite aerogel absorbers with radar-IR compatible stealth (<xref ref-type="bibr" rid="B112">Wu et al., 2022</xref>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(Aa&#x2013;c)</bold> Comparisons of the morphologies of the architected samples. <bold>(Ad&#x2013;f)</bold> Dielectric constants of rC-3, rC-4, and RC-4. <bold>(B)</bold> RL results of the RC-4 sample (<xref ref-type="bibr" rid="B112">Wu et al., 2022</xref>).</p>
</caption>
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<p>
<xref ref-type="bibr" rid="B8">Cao et al. (2010</xref>) prepared a short carbon fiber/silica composite <italic>via</italic> conventional ceramic processing for practical applications in high-temperature microwave absorption. Carbon fibers (CFs) and their composites are attractive candidates as microwave absorbers due to their excellent electrical and mechanical properties for countless domestic and commercial applications. Moreover, their material properties can be predicted by calculating the reflection loss from the permittivity and permeability, which decreases the number of experiments required. The real part of the permittivity increases with increased temperature, which is ascribed to decreasing the relaxation time of electron polarization, and the imaginary part augments as well, which in this case originates from the enhanced electrical conductivity of the carbon fibers. <xref ref-type="fig" rid="F8">Figures 8Aa, b, Ba, b</xref> show the RL dependence on temperature at various frequencies. The RL-temperature curves at five different frequencies imply a maximum CF/SiO<sub>2</sub> absorption peak around &#x2212;10.22&#xa0;dB at 9.90&#xa0;GHz at 30&#xb0;C, and &#x2212;8.69&#xa0;dB at 9.25&#xa0;GHz at 600&#xb0;C, indicating that the peak slightly shifts toward lower frequency with increasing temperature. These results showed that the microwave absorption of CF/SiO<sub>2</sub> at lower temperatures is greater than others at higher temperatures.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>
<bold>(Aa,b)</bold> Real and imaginary parts of the permittivity vs. temperature at various frequencies and <bold>(Ba,b)</bold> reflection loss vs. frequency and reflection loss vs. temperature related to the CF composite (<xref ref-type="bibr" rid="B8">Cao et al., 2010</xref>).</p>
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<p>
<xref ref-type="bibr" rid="B134">Zhao et al. (2019</xref>) fabricated a hierarchically porous magnetic carbon (HPMC) structure by introducing a magnetic substance on microstructure biomass material, which demonstrated excellent EMW performance. Biomass-derived materials provide novel microstructures, including heterostructures with unique morphology such as microtubular channels, which are challenging to produce by routine chemical synthesis (<xref ref-type="bibr" rid="B83">Peymanfar and Mirkhan, 2022</xref>). The authors used rice as an example of biomass materials and conducted pre-treatment by a simple dipping and sintering method to attain porous carbon with the benefits of Ni<sup>2&#x2b;</sup> incorporation as a magnetic resource. The regulation of the microstructure and composition of the samples was synchronously and simply achieved by modulating the ratio of KOH to rice treated with Ni<sup>2&#x2b;</sup> (NTR) powder. This work paved the path for the development of biomass materials as green, renewable, low-cost, and high-performance carbon-based microwave absorbers. <xref ref-type="fig" rid="F9">Figure 9A, B</xref> shows the complex permittivity curves <italic>versus</italic> frequency for different KOH to NTR powder ratios. The HPMC-1.5 sample is composed of high-density metal Ni NPs; thus, it is reasonable that the low filler ratio of 15&#xa0;wt% for HPMC-1.5 in the paraffin matrix results in low permittivity properties. Nevertheless, both the <italic>&#x3b5;</italic>&#x2032; and <italic>&#x3b5;</italic>&#x2033; values of the other three specimens increase with increasing metal ratios. At low filler loading (15wt%), HPMC-1.0 showed better microwave absorption, which was mainly ascribed to the significant dielectric loss with polarization relaxation, conductive loss, multiple reflections, and synergistic magnetic loss. <xref ref-type="fig" rid="F9">Figure 9B</xref> shows the remarkable RLs of HPMC-1.0 due to its fascinating hierarchical porous channels in nano/micron-scale, three-dimensional (3D) interconnected network, and favorable nickel content, which improved impedance matching. The sample showed a maximum RL of &#x2212;52&#xa0;dB at only 1.7&#xa0;mm and wide efficient bandwidth of 5&#xa0;GHz at a low filler content of 15&#xa0;wt%.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>
<bold>(Aa,b)</bold> Factors of permittivity and <bold>(B)</bold> RL values within 1.5&#x2013;2.0&#xa0;mm for all samples (<xref ref-type="bibr" rid="B134">Zhao et al., 2019</xref>).</p>
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</sec>
<sec id="s2-2">
<title>2.2 Conjugated polymers with heteroatoms</title>
<p>Synthetic polymers such as polyesters and polyamides offer several advantages compared to natural polymers, including the easier synthesis of large quantities, non-significant batch-to-batch variations, and countless possibilities for modifications to achieve the desired properties (<xref ref-type="bibr" rid="B60">Maitz, 2015</xref>; <xref ref-type="bibr" rid="B25">Englert et al., 2018</xref>). As only the formulation parameters control the final properties of the materials, the chemistry of conductive polymers offers wide diversities of synthetic methods, allowing both the integration of conductive elements in different media and the construction of complex structures. This ability not only provides microwave-absorbing characteristics but also conforms to environmental constraints (<xref ref-type="bibr" rid="B66">Olmedo et al., 1993</xref>; <xref ref-type="bibr" rid="B67">Olmedo et al., 1995</xref>). These factors make polymers promising candidates to solve numerous problems in the microwave-absorbing field.</p>
<p>Gu et al. fabricated a metamaterial composite (metacomposite) in which carbon nanospheres (CNS) were discovered and supported on nanosilver-polydopamine (CNS-PDA/Ag). The impedance and optical band gap indicated that the CNS-PDA/Ag metacomposite broadened the conductive pathway to promote electrical conductivity. The remarkable point of this study was the high negative permittivity obtained from the merged secondary fields due to the unique structure of the hydrothermal and high-temperature annealing method.</p>
<p>As shown in <xref ref-type="fig" rid="F10">Figures 10A, B</xref>, CNSP showed positive permittivity, while CNS showed negative permittivity. The explanation for this finding is the higher graphitization of CNS, which increases the electrical conductivity. By modifying the surface of CNS using PDA, the oxygen-containing functional groups were enriched, leading to a reduction in the electrical conductivity of CNS, regulating the conductivity in CNS-PDA. In CNS-PDA/Ag, the Ag nanoparticles are deposited on the surface of the CNS-PDA. Ornamenting the structure with PDA decreases the conductivity and expands the CNS-PDA structure. The negative permittivity in the CNS and CNS-PDA/Ag is caused by the increased electrical conductivity. The carbonization of CNSP and deposition of Ag nanoparticles facilitate charge circuits. The increased negative permittivity in CNS-PDA/Ag can be ascribed to the Maxwell&#x2013;Wagner&#x2013;Sillars effect. All three components&#x2014;CNS, PDA, and Ag&#x2014;expose anisotropy in dielectric properties and electrical conductivity, further impacting the electrical features of the final metacomposite (<xref ref-type="bibr" rid="B28">Gu et al., 2019</xref>; <xref ref-type="bibr" rid="B58">Lv et al., 2020</xref>).</p>
<fig id="F10" position="float">
<label>FIGURE 10</label>
<caption>
<p>
<bold>(A)</bold> Real part (&#x3b5;&#x2032;) and <bold>(B)</bold> imaginary part of permittivity (&#x3b5;&#x2033;) for four components [(a) CNS, (b) CNS-PDA, (c) CNS-PDA/Ag, and (d) CNSP] (<xref ref-type="bibr" rid="B28">Gu et al., 2019</xref>).</p>
</caption>
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</fig>
<p>In the last decade, polypyrrole (PPy) as a conjugated organic polymer with N as a heteroatom has gained attention as a microwave absorber (<xref ref-type="bibr" rid="B86">Peymanfar et al., 2018</xref>). Qi et al. fabricated a microwave absorber using conjugated conductive polymers. Conjugated microporous polymers (CMPs) are suggested due to their conjugate molecular fragments and permanent micropores. The process and precursors used to prepare the CPTPB, CPTPA, and CPTB are depicted in <xref ref-type="fig" rid="F11">Figure 11A</xref>. The authors evaluated the permittivities of CPTPB (TB/pyrrole1:1), CPTPA (Tris (4-(PTPA)/pyrrole 1:3), and CPTB (PTB/pyrrole 1:3) with different ratios of pyrrole as a monomer. As shown in <xref ref-type="fig" rid="F11">Figures 11Ca&#x2013;f</xref>, CPTPB showed higher permittivity compared to that of pure PPy. Interestingly, the permittivity decreased with increasing amounts of pyrrole amount from CPTPB-3 to CPTPB-5, as shown by the reduced conductive and relaxation losses. <xref ref-type="fig" rid="F11">Figures 11Ce, f</xref> confirm the increased permittivity by substituting CPTPB and CPTB with CPTPA. The synergic effect produced by the <italic>&#x3c0;</italic>-&#x3c0; stacking in the carbon-based conjugated structures was precisely dissected. This phenomenon tunes the heterogeneous interfaces, benefiting the interfacial polarization (<xref ref-type="bibr" rid="B39">Jiao et al., 2020</xref>).</p>
<fig id="F11" position="float">
<label>FIGURE 11</label>
<caption>
<p>
<bold>(A)</bold> Synthetic procedure for conductive CMPs, <bold>(B)</bold> RL value of the CMPs, and <bold>(Ca&#x2013;f)</bold> real (&#x3b5;&#x2032;) and imaginary parts of permittivity (&#x3b5;&#x2033;) of the structures prepared in the diverse routes (<xref ref-type="bibr" rid="B39">Jiao et al., 2020</xref>).</p>
</caption>
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</fig>
<p>To evaluate the effect of the doping agent ratio on the microwave-absorbing characteristics and energy band gap, Javanshir and coworkers used dodecylbenzenesulfonic acid (DBSA) as a doping agent to regulate polyaniline (PANi) features. The results showed that the amount of doping agent is a compromise with the energy band gap, DC electrical conductivity, and microwave absorption performance. Noticeably, polyacrylonitrile (PAN) was used as an absorbing medium instead of conventional paraffin wax. Paraffin has poor mechanical properties, which limit its practical applications. PAN can be used as a polymeric matrix in two ways: first, the useful mechanical features of PAN promote its practical applications. Second, the presence of nitrile functional groups allows the n&#x2192;&#x3c3;&#x2a;, n&#x2192;&#x3c0;&#x2a;, and &#x3c0;&#x2192;&#x3c0;&#x2a; transitions to augment the polarization, relaxation loss, electron hopping, micro currents, and conductive networks desirable for microwave attenuation. <xref ref-type="fig" rid="F12">Figure 12Aa&#x2013;d</xref> shows the dependence of frequency on the complex permittivity of the sample. The regulation of the molar ratio between aniline and DBSA (Aniline: DBSA &#x3d; 10.0, 7.5,5.0.2.5, denoted as PANi10.0, 7.5, 5.0, and 2.5) modifies the morphology and microwave-absorbing ability of the tailored conjugated polymers. The microwave-absorbing features affect the specific surface area, modulating polarization loss and conductive capacity, which are adjusted by oxidative doping. The results showed that the amount of oxidative dopant regulates the energy bandgap, influencing the relaxation loss. <xref ref-type="fig" rid="F12">Figure 12B</xref> presents the microwave absorption performance of the samples with different molar fractions of the doping agent. The specific mechanisms originating from the architected morphologies and chemical structures led to the metamaterial features and permeability of the samples, promoting impedance matching and microwave-absorbing properties (<xref ref-type="bibr" rid="B87">Peymanfar et al., 2021b</xref>; <xref ref-type="bibr" rid="B122">Yang et al., 2022b</xref>) (<ext-link ext-link-type="uri" xlink:href="https://www.sciencedirect.com/science/article/abs/pii/S0032386120308065">https://www.sciencedirect.com/science/article/abs/pii/S0032386120308065</ext-link>).</p>
<fig id="F12" position="float">
<label>FIGURE 12</label>
<caption>
<p>
<bold>(Aa,b)</bold> Relative complex permittivity of the samples and <bold>(B)</bold> microwave absorption of the manipulated PANi from 8.2 to 18&#xa0;GHz (<xref ref-type="bibr" rid="B87">Peymanfar et al., 2021b</xref>) (<ext-link ext-link-type="uri" xlink:href="https://www.sciencedirect.com/science/article/abs/pii/S0032386120308065">https://www.sciencedirect.com/science/article/abs/pii/S0032386120308065</ext-link>).</p>
</caption>
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<p>Researchers have also assessed 2D nanomaterials. Carbon nanotubes and carbon-based structures (exclusively graphene and g-C<sub>3</sub>N<sub>4</sub>) have attracted attention due to their high degrees of microwave absorption (<xref ref-type="bibr" rid="B78">Peymanfar and Ghorbanian-Gezaforodi, 2020</xref>; <xref ref-type="bibr" rid="B88">Peymanfar et al., 2021e</xref>). Mohammadi et al. fabricated g-C<sub>3</sub>N<sub>4</sub>/polythiophene (PTh) composites utilizing various mass fractions of conjugated structures, resulting in efficient bandwidths for all samples. This occurred for polarization and conductive losses, which was promoted by &#x3c0;&#x2192;&#x3c0;&#x2a; and n&#x2192;&#x3c0;&#x2a; interactions between the PTh and nanosheets, as well as the metamaterial features in the composites, which provided permeability in the microwave absorbers and improved impedance matching and microwave attenuation. As shown in <xref ref-type="fig" rid="F13">Figure 13Aa&#x2013;d</xref> the real and imaginary parts of permittivity in the g-C<sub>3</sub>N<sub>4</sub>/PTh (30%)/PS increased due to interactions between the 2D structures and PTh, boosting the dielectric characteristics. The charge transition between the conjugated structures establishes conductive networks leading to the negative part of permeability of the g-C<sub>3</sub>N<sub>4</sub>/PTh (70%)/PS. <xref ref-type="fig" rid="F13">Figure 13B</xref> shows the graph of RL <italic>versus</italic> the frequency of g-C<sub>3</sub>N<sub>4</sub>/PTh (30%)/polystyrene (PS). PS was used as an absorbing matrix, which has practical applications for the final product due to its mechanical features and the regulation of microwave absorption owing to its chemical structure (<xref ref-type="bibr" rid="B84">Peymanfar et al., 2020a</xref>).</p>
<fig id="F13" position="float">
<label>FIGURE 13</label>
<caption>
<p>
<bold>(Aa&#x2013;d)</bold> &#x3bc;&#x2032; and &#x3bc;&#x2033; and &#x3b5;&#x2032; and &#x3b5;&#x2033; of the samples along the x and ku-band and <bold>(B)</bold> microwave absorption of g-C<sub>3</sub>N<sub>4</sub>/PTh (30%)/PS in 8.2&#x2013;18&#xa0;GHz (<xref ref-type="bibr" rid="B84">Peymanfar et al., 2020a</xref>).</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g013.tif"/>
</fig>
<p>Chang and co-workers designed a Fe<sub>3</sub>O<sub>4</sub>/polypyrrole/carbon nanotube ternary composite in which Fe<sub>3</sub>O<sub>4</sub> nanoparticles were synthesized by a hydrothermal method at different sizes (H- Fe<sub>3</sub>O<sub>4</sub>, 100&#xa0;nm (and (C- Fe<sub>3</sub>O<sub>4</sub>, 20&#xa0;nm). First, the Fe<sub>3</sub>O<sub>4</sub>/PPy composite was prepared; CNTs were then added to the final composition as a reinforcer. In this composite, PPy and CNT increased the permittivity with the dielectric properties. In addition, the amount of PPy directly affected the RL. The results showed that when PPy is composited with Fe<sub>3</sub>O<sub>4</sub>, the magnetic properties of Fe<sub>3</sub>O<sub>4</sub> and the permeability decreased. Furthermore, increasing the amount of CNT showed no significant change in <italic>&#x3bc;</italic>&#x2032; and <italic>&#x3bc;</italic>&#x2033;, suggesting that Fe<sub>3</sub>O<sub>4</sub> nanoparticles played a crucial role in complex permeability. The value of <italic>&#x3b5;</italic>&#x2032; was less than the value of <italic>&#x3b5;</italic>&#x2033; and the HPC series composite showed the highest <italic>&#x3b5;</italic>&#x2032; and <italic>&#x3b5;</italic>&#x2033; values. The results indicated that with increasing PPy, <italic>&#x3b5;</italic>&#x2033; increased; however, the presence of polypyrrole without magnetic material was not efficient and the combination was required to improve <italic>&#x3b5;</italic>&#x2032; and <italic>&#x3b5;</italic>&#x2033; and, ultimately, microwave absorption. <xref ref-type="fig" rid="F14">Figure 14Aa&#x2013;c</xref> shows that, among the samples, the HP3C composite with 20% CNT showed the best absorption, with an RL of &#x2212;25.9&#xa0;dB at 2.0&#xa0;mm in thickness (<xref ref-type="bibr" rid="B124">Yang et al., 2016</xref>).</p>
<fig id="F14" position="float">
<label>FIGURE 14</label>
<caption>
<p>
<bold>(Aa&#x2013;c)</bold> RL values of samples 2.0&#xa0;mm in thickness (<xref ref-type="bibr" rid="B124">Yang et al., 2016</xref>).</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g014.tif"/>
</fig>
<p>Zhang et al. reported a conductive network constructed by a binary core-shell PPy/Fe3O4 composite prepared by chemical oxidative polymerization with polyvinyl alcohol and p-toluenesulfonic acid. The dielectric properties of PPy and the magnetic loss of iron affected the absorption parameters; thus, the combination of these materials created efficient microwave absorption. The diameter of the PPy shell varied from 20 to 80&#xa0;nm to regulate the microwave absorption properties. Important points in the preparation of PPy/Fe<sub>3</sub>O<sub>4</sub> composites are physical and chemical approaches. The preparation of PPy/Fe<sub>3</sub>O<sub>4</sub> composites by chemical method demonstrated better RL performance from the broadened interfaces. <xref ref-type="fig" rid="F15">Figure 15</xref> shows that by increasing the mass fraction of PPy, <italic>&#x3b5;</italic>&#x2032; and <italic>&#x3b5;</italic>&#x2033; are enhanced because PPy increases the conductive loss due to the presence of conjugated bonds and dielectric properties; however, <italic>&#x3bc;</italic>&#x2032; and <italic>&#x3bc;</italic>&#x2033;are decreased due to the reduction of magnetic filler. <xref ref-type="fig" rid="F15">Figure 15</xref> shows the best RL of -31.5&#xa0;dB (15.42&#xa0;GHz) at 2.5&#xa0;mm thickness for a PPy shell thickness in pyrrole@Fe3O4 composites of 80&#xa0;nm (<xref ref-type="bibr" rid="B90">Qiao et al., 2016</xref>).</p>
<fig id="F15" position="float">
<label>FIGURE 15</label>
<caption>
<p>
<bold>(Aa,b)</bold> Real and imaginary parts of permittivity, <bold>(Ba,b)</bold> real and imaginary parts of permeability, and <bold>(C)</bold> microwave absorption of PPy/Fe3O4 at 8.2&#x2013;18&#xa0;GHz (<xref ref-type="bibr" rid="B90">Qiao et al., 2016</xref>).</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g015.tif"/>
</fig>
<p>The magnetic shortcomings leading to the impedance mismatching of the conjugated polymers as dielectric structures can be addressed by inserting magnetic structures. Moreover, the polarization mechanisms and impedance matching can be tuned by loading other dielectric materials. <xref ref-type="table" rid="T1">Table 1</xref> shows some binary and ternary composites designed to mitigate the EMWs.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Microwave absorption performance of organic conductive polymer composites.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Absorber<break/>(binary or ternary)</th>
<th align="center">Max. RL (dB)- matching frequency (GHz)</th>
<th align="center">Matching thickness (mm)</th>
<th align="center">Efficient bandwidth RL &#x3c; &#x2212;10&#xa0;dB (GHz)</th>
<th align="center">Reference</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">Ni@Co/C@PPy</td>
<td align="center">&#x2212;48.8-5.1</td>
<td align="center">2.0</td>
<td align="center">5.1</td>
<td align="center">
<xref ref-type="bibr" rid="B6">Bi et al. (2022)</xref>
</td>
</tr>
<tr>
<td align="center">TiO<sub>2</sub>@Fe<sub>3</sub>O<sub>4</sub>@PPy</td>
<td align="center">&#x2212;61.8 - 8.7</td>
<td align="center">3.2</td>
<td align="center">6.0</td>
<td align="center">
<xref ref-type="bibr" rid="B22">Ding et al. (2019)</xref>
</td>
</tr>
<tr>
<td align="center">Fe<sub>3</sub>O<sub>4</sub>/PPy/CNT</td>
<td align="center">&#x2212;25.9-10.2</td>
<td align="center">3.0</td>
<td align="center">4.5</td>
<td align="center">
<xref ref-type="bibr" rid="B124">Yang et al. (2016)</xref>
</td>
</tr>
<tr>
<td align="center">SrAl<sub>1</sub>.<sub>3</sub>Fe<sub>10</sub>.<sub>7</sub>O<sub>19</sub>/MWCNT/PANi</td>
<td align="center">&#x2212;24.9 -16.4</td>
<td align="center">6.5</td>
<td align="center">2.8</td>
<td align="center">
<xref ref-type="bibr" rid="B70">Peymanfar et al. (2019c)</xref>
</td>
</tr>
<tr>
<td align="center">CC/PANi aerogel</td>
<td align="center">&#x2212;54.8 &#x2dc; 14.0</td>
<td align="center">2.1</td>
<td align="center">5.1</td>
<td align="center">
<xref ref-type="bibr" rid="B131">Zhang et al. (2020b)</xref>
</td>
</tr>
<tr>
<td align="center">FeCoNi/PANi/PPy</td>
<td align="center">&#x2212;16.0- 14.2</td>
<td align="center">2.5</td>
<td align="center">2.7</td>
<td align="center">
<xref ref-type="bibr" rid="B3">Atassi and Fun (2020)</xref>
</td>
</tr>
<tr>
<td align="center">Porous carbon/PANi</td>
<td align="center">&#x2212;72.2 &#x2dc; 12.5</td>
<td align="center">2.6</td>
<td align="center">6.6</td>
<td align="center">
<xref ref-type="bibr" rid="B127">Zhang et al. (2021b)</xref>
</td>
</tr>
<tr>
<td align="center">FeCo@carbon nanoparticles encapsulated in polydopamine</td>
<td align="center">&#x2212;67.8 -15.8</td>
<td align="center">2.0</td>
<td align="center">5.3</td>
<td align="center">
<xref ref-type="bibr" rid="B106">Wang et al. (2019b)</xref>
</td>
</tr>
<tr>
<td align="center">C@Fe<sub>2</sub>O<sub>3</sub>@MWCNTs</td>
<td align="center">&#x2212;49.9 -10.0</td>
<td align="center">2.0</td>
<td align="center">&#x2248;2.0</td>
<td align="center">
<xref ref-type="bibr" rid="B108">Wang et al. (2019a)</xref>
</td>
</tr>
<tr>
<td align="center">Fe<sub>3</sub>O<sub>4</sub>@PPy</td>
<td align="center">&#x2212;31.5 -15.5</td>
<td align="center">2.5</td>
<td align="center">5.2</td>
<td align="center">
<xref ref-type="bibr" rid="B90">Qiao et al. (2016)</xref>
</td>
</tr>
<tr>
<td align="center">PPy@PANi</td>
<td align="center">&#x2212;34.8-13.9</td>
<td align="center">2.0</td>
<td align="center">4.7</td>
<td align="center">
<xref ref-type="bibr" rid="B102">Tian et al. (2015)</xref>
</td>
</tr>
<tr>
<td align="center">PPy nanofibers/Fe<sub>3</sub>O<sub>4</sub>
</td>
<td align="center">&#x2212;41.6 &#x2dc; 13.0</td>
<td align="center">2.5</td>
<td align="center">&#x2248;4.0</td>
<td align="center">
<xref ref-type="bibr" rid="B125">Zhan et al. (2019)</xref>
</td>
</tr>
<tr>
<td align="center">PPy/Co</td>
<td align="center">&#x2212;20.0-13.8</td>
<td align="center">3.0</td>
<td align="center">7.2</td>
<td align="center">
<xref ref-type="bibr" rid="B55">Luo and Gao (2014)</xref>
</td>
</tr>
<tr>
<td align="center">CoFe<sub>2</sub>O<sub>4</sub>/carbon sheets/PANi</td>
<td align="center">&#x2212;51.8-12.4</td>
<td align="center">2.6</td>
<td align="center">7.2</td>
<td align="center">
<xref ref-type="bibr" rid="B32">Hou et al. (2021)</xref>
</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
</sec>
<sec id="s3">
<title>3 Mechanisms allowing microwave absorption in conductive polymer structures</title>
<p>The prominent mechanisms that allow microwave attenuation of conjugated carbon-based materials can be summarized as conductive and polarization losses (<xref ref-type="bibr" rid="B69">Pattanayak et al., 2021</xref>; <xref ref-type="bibr" rid="B36">Huynen, 2022</xref>). The morphology is the essential factor in tuning the polarization loss characteristics (<xref ref-type="bibr" rid="B81">Peymanfar et al., 2021c</xref>). Moreover, the presence of heteroatoms and defects in the chemical structure of the conjugated backbone generates dipole polarization. Overall, polarization loss is governed by Debye relaxation and the Maxwell&#x2013;Wagner model. The charge transitions from <italic>&#x3c0;</italic> to &#x3c0;&#x2a; and n to &#x3c0;&#x2a; are the vital parameters for conductive loss in organic conductive polymers. Meanwhile, inserting hetero atoms and negative/positive doping these types of materials changes the gap between the highest occupied molecular orbital (HOMO) and the lowest unoccupied molecular orbital (LUMO), thus affecting orbital orientations, rearranging the orbital occupation by charges, and influencing the conductive and polarization losses. Hence, the conductive and polarization losses of organic conductive polymers are tunable by 1) oxidative, reductive, and elemental doping; 2) etching to establish defects; and 3) modifying the synthetic scenarios to regulate the morphology and conjugated lengths. The missing permeability can be supplied by inserting magnetic structures or creating secondary fields, as discussed in the following sections. <xref ref-type="table" rid="T2">Table 2</xref> shows the essential parameters in the microwave absorption field established by organic conductive polymers, leading to the RL. The RL was evaluated based on the transmission line theory equation (Eq. 1). The critical parameters in microwave absorption are permeability, permittivity, and impedance matching (Z, Eq. 2) (<xref ref-type="bibr" rid="B138">Zhou et al., 2022a</xref>). The essential factors modulating permittivity in conjugated polymers are electrical conductivity (conductive loss, Eq. 3) and polarization, listed to interfacial polarization and dipole polarization in the microwave region which is deduced by the Debye relaxation theory (Eq. 4). In contrast, natural and exchange resonance, as well as eddy currents, regulate permeability (Eqs 5 and 6) (<xref ref-type="bibr" rid="B121">Yang et al., 2022a</xref>; <xref ref-type="bibr" rid="B141">Zhou et al., 2022b</xref>; <xref ref-type="bibr" rid="B140">Zhou et al., 2022c</xref>). Accordingly, higher saturation magnetization and lower anisotropy increase magnetic loss. Particularly, the more constant the eddy current curve, the higher the eddy current loss. In organic polymers used as microwave-absorbing structures, the facile transition electrons between the conjugated structures amplify the permittivity of the conductive polymer. Thus, both polymer chain length and the use of heteroatoms as doping agents tune the RL. The morphology modification by changing the heterogeneous interfaces is a pivotal factor regulating the polarization loss and permittivity of microwave absorbers (<xref ref-type="bibr" rid="B138">Zhou et al., 2022a</xref>; <xref ref-type="bibr" rid="B122">Yang et al., 2022b</xref>). The wave entering from the absorber threshold can be canceled by the reflected waves from the reflector, on which the absorbing medium is placed when the input and reflected waves are 180&#xb0; out of phase and the matrix thickness is the odd numeral of &#x3bb;/4 of propagated wave (Eq. 7). The attenuation constant (&#x3b1;, Eq. 8) is the vital factor clarifying the absorber capacity to energy conversion. A trade-off exists between the attenuation constant and impedance matching to achieve a high RL (<xref ref-type="bibr" rid="B84">Peymanfar et al., 2020a</xref>; <xref ref-type="bibr" rid="B129">Zhang et al., 2021c</xref>). <xref ref-type="table" rid="T3">Table 3</xref> has summarized the definitions of the symbols used to assay the microwave-absorbing characteristics.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Equations used to examine the electromagnetic wave-absorbing performance.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Eq.</th>
<th align="left">Title</th>
<th align="left">Formula</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">1</td>
<td align="left">Transmission line theory</td>
<td align="left">
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<td align="left">2</td>
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<td align="left">3</td>
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<mml:mo>&#x2212;</mml:mo>
<mml:mn>12</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mi>F</mml:mi>
<mml:msup>
<mml:mi>m</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf9">
<mml:math id="m9">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3c9;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>2</mml:mn>
<mml:mi>&#x3c0;</mml:mi>
<mml:mi>F</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">4</td>
<td align="left">Debye relaxation theory</td>
<td align="left">
<inline-formula id="inf10">
<mml:math id="m10">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mo>&#x2033;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi>&#x221e;</mml:mi>
</mml:msub>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">5</td>
<td align="left">Magnetic loss equations</td>
<td align="left">
<inline-formula id="inf11">
<mml:math id="m11">
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">M</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>H</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mi>cos</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3b8;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, <inline-formula id="inf12">
<mml:math id="m12">
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mo>&#x2033;</mml:mo>
</mml:msup>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">M</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>H</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mi>sin</mml:mi>
<mml:mo>&#x2061;</mml:mo>
<mml:mi mathvariant="normal">&#x3b8;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>, and <inline-formula id="inf13">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:msubsup>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mn>2</mml:mn>
</mml:msubsup>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>a</mml:mi>
<mml:mi>k</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:msub>
<mml:mi mathvariant="normal">M</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">s</mml:mi>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>b</mml:mi>
<mml:mi>&#x3bb;</mml:mi>
<mml:mi>&#x3be;</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">6</td>
<td align="left">Eddy current loss</td>
<td align="left">
<inline-formula id="inf14">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mo>&#x2033;</mml:mo>
</mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msup>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">7</td>
<td align="left">Quarter wavelength mechanism</td>
<td align="left">
<inline-formula id="inf15">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">t</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>4</mml:mn>
<mml:msub>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:msub>
<mml:msqrt>
<mml:mrow>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mfenced open="|" close="|" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msqrt>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
<tr>
<td align="left">8</td>
<td align="left">Attenuation constant</td>
<td align="left">
<inline-formula id="inf16">
<mml:math id="m16">
<mml:mrow>
<mml:mi mathvariant="normal">&#x3b1;</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msqrt>
<mml:mrow>
<mml:msqrt>
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
<mml:mo>&#x2033;</mml:mo>
</mml:msup>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
<mml:mo>&#x2033;</mml:mo>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
<mml:mo>&#x2033;</mml:mo>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
<mml:mo>&#x2033;</mml:mo>
</mml:msup>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msup>
</mml:mrow>
</mml:msqrt>
<mml:mo>&#x2b;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
<mml:mo>&#x2033;</mml:mo>
</mml:msup>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
<mml:mo>&#x2033;</mml:mo>
</mml:msup>
<mml:mo>&#x2212;</mml:mo>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b5;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
<mml:msup>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bc;</mml:mi>
<mml:mi mathvariant="normal">r</mml:mi>
</mml:msub>
<mml:mo>&#x2032;</mml:mo>
</mml:msup>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:msqrt>
<mml:mfrac>
<mml:mrow>
<mml:msqrt>
<mml:mn>2</mml:mn>
</mml:msqrt>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mi mathvariant="normal">&#x3c0;</mml:mi>
</mml:mrow>
<mml:mi mathvariant="normal">c</mml:mi>
</mml:mfrac>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Definitions of the symbols used to evaluate the microwave-absorbing features.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Symbol</th>
<th align="left">Definition</th>
<th align="left">Symbol</th>
<th align="left">Definition</th>
<th align="left">Symbol</th>
<th align="left">Definition</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">&#x3b5;&#x2032;</td>
<td align="left">Real part of permittivity</td>
<td align="left">&#x3b5;&#x2033;</td>
<td align="left">Imaginary part of permittivity</td>
<td align="left">&#x3b5;<sub>0</sub>
</td>
<td align="left">Permittivity constant</td>
</tr>
<tr>
<td align="left">&#x3bc;&#x2032;</td>
<td align="left">Real part of permeability</td>
<td align="left">&#x3bc;&#x2033;</td>
<td align="left">Imaginary part of permeability</td>
<td align="left">&#x3bc;<sub>0</sub>
</td>
<td align="left">Permeability constant</td>
</tr>
<tr>
<td align="left">&#x3be;</td>
<td align="left">Elastic strain parameter</td>
<td align="left">&#x3bb;</td>
<td align="left">Magnetostrictive coefficient</td>
<td align="left">H<sub>c</sub>
</td>
<td align="left">Coercivity</td>
</tr>
<tr>
<td align="left">d</td>
<td align="left">Thickness of absorber</td>
<td align="left">c</td>
<td align="left">Velocity of light in free space</td>
<td align="left">Z<sub>in</sub>
</td>
<td align="left">Input impedance</td>
</tr>
<tr>
<td align="left">&#x3b8;</td>
<td align="left">Phase lag angle</td>
<td align="left">
<italic>a</italic>
</td>
<td align="left">Composition constant</td>
<td align="left">
<italic>k</italic>
</td>
<td align="left">Proportional coefficient</td>
</tr>
<tr>
<td align="left">Z<sub>0</sub>
</td>
<td align="left">Free-space impedance</td>
<td align="left">f</td>
<td align="left">Frequency</td>
<td align="left">n</td>
<td align="left">Odd number</td>
</tr>
<tr>
<td align="left">&#x3b5;<sub>r</sub>
</td>
<td align="left">Relative complex permittivity</td>
<td align="left">&#x3bc;<sub>r</sub>
</td>
<td align="left">Relative complex permeability</td>
<td align="left">&#x3b5;<sub>s</sub>
</td>
<td align="left">Static permittivity</td>
</tr>
<tr>
<td align="left">
<italic>b</italic>
</td>
<td align="left">Composition constant</td>
<td align="left">M<sub>s</sub>
</td>
<td align="left">Saturation magnetization</td>
<td align="left">H</td>
<td align="left">External magnetic field</td>
</tr>
<tr>
<td align="left">&#x3b5;<sub>&#x221e;</sub>
</td>
<td align="left">Permittivity at the infinite frequency</td>
<td align="left">f<sub>m</sub>
</td>
<td align="left">Matching frequency</td>
<td align="left">t<sub>m</sub>
</td>
<td align="left">Matching thickness</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The charge transitions in conjugated structures establish electrical conductivity and polarization mechanisms. The polarized structures can act as quasi-antenna and the charge circuits can develop secondary fields, creating metamaterial property and permeability to improve impedance matching. The possible mechanisms are illustrated in <xref ref-type="fig" rid="F1">Figure 1</xref>. In the next section, the metamaterial characteristics and quasi-antenna are promising mechanisms paving a new path in architecting conjugated carbon-based microwave-absorbing materials.</p>
<sec id="s3-1">
<title>3.1 Metamaterials</title>
<p>Meta-materials (MTMs) are the new generation of artificially manufactured materials that are not found in the natural environment (<xref ref-type="bibr" rid="B38">Jia et al., 2018</xref>). In recent years, MTMs have been the subject of extensive studies to enhance and improve their characteristics and applications (<xref ref-type="bibr" rid="B132">Zhang et al., 2020c</xref>). MTMs are important due to their unusual electromagnetic properties including backward propagation, negative refraction index, reverse Doppler effect, negative permeability, negative permittivity, and perfect absorber action (<xref ref-type="bibr" rid="B10">Chen et al., 2006</xref>; <xref ref-type="bibr" rid="B136">Zhou et al., 2009</xref>; <xref ref-type="bibr" rid="B91">Qin and Brosseau, 2012</xref>; <xref ref-type="bibr" rid="B98">Song et al., 2013</xref>; <xref ref-type="bibr" rid="B15">Cheng et al., 2017a</xref>). Instead of relying on their combination, the exotic electromagnetic characteristics depend on the sub-wavelength geometry of periodic resonance structures (<xref ref-type="bibr" rid="B114">Xin et al., 2017</xref>). Due to the unique properties of MTMs, they have been employed in vast and various fields such as filters (<xref ref-type="bibr" rid="B94">Sabah and Uckun, 2009</xref>), electromagnetic cloakings (<xref ref-type="bibr" rid="B18">Cummer et al., 2006</xref>; <xref ref-type="bibr" rid="B95">Schurig et al., 2006</xref>; <xref ref-type="bibr" rid="B92">Rajput and Srivastava, 2014</xref>; <xref ref-type="bibr" rid="B17">Colombi et al., 2015</xref>), super-lenses (<xref ref-type="bibr" rid="B4">Aydin et al., 2007</xref>; <xref ref-type="bibr" rid="B2">Amireddy et al., 2016</xref>), radars (<xref ref-type="bibr" rid="B42">Kurihara et al., 2005</xref>), antennas (<xref ref-type="bibr" rid="B26">Enoch et al., 2002</xref>; <xref ref-type="bibr" rid="B1">Alici and &#xd6;zbay, 2007</xref>), solar cells (<xref ref-type="bibr" rid="B31">Hao et al., 2010</xref>; <xref ref-type="bibr" rid="B7">Bian et al., 2013</xref>), concealments (<xref ref-type="bibr" rid="B101">Tak et al., 2016</xref>), reduction of automotive false imaging, and microwave absorbers (<xref ref-type="bibr" rid="B114">Xin et al., 2017</xref>).</p>
<p>
<xref ref-type="bibr" rid="B44">Landy et al. (2008</xref>) were the first to introduce the perfect metamaterial absorber (MMA) consisting of split-ring resonance structures with a middle dielectric layer. Generally, MMAs include three layers: a dielectric spacer, metallic structures, and a metallic mirror, which can be used to form MMAs with various designs (<xref ref-type="bibr" rid="B23">Duan et al., 2014</xref>; <xref ref-type="bibr" rid="B120">Yan et al., 2014</xref>; <xref ref-type="bibr" rid="B137">Zhou et al., 2015</xref>). The nearly perfect absorption, ease of fabrication, lower cost, and small thickness are some advantages of MMAs over conventional absorbers (<xref ref-type="bibr" rid="B99">Sood and Tripathi, 2015</xref>; <xref ref-type="bibr" rid="B45">Lee et al., 2016</xref>). Despite the many advantages of MMAs, this type of microwave absorber has a narrow absorption bandwidth, which is mainly related to the strong magnetic and electric resonances (<xref ref-type="bibr" rid="B99">Sood and Tripathi, 2015</xref>; <xref ref-type="bibr" rid="B15">Cheng et al., 2017a</xref>; <xref ref-type="bibr" rid="B114">Xin et al., 2017</xref>). To solve this issue, researchers have designed dual, multi, and broadband MMAs with high absorbing performance (<xref ref-type="bibr" rid="B34">Hu et al., 2016</xref>; <xref ref-type="bibr" rid="B52">Lian et al., 2016</xref>; <xref ref-type="bibr" rid="B93">Rufangura and Sabah, 2016</xref>; <xref ref-type="bibr" rid="B104">Wang, 2016</xref>). Some researchers have proposed enhancing the bandwidth by employing multi-resonance units with diverse geometric dimensions (<xref ref-type="bibr" rid="B49">Li et al., 2011</xref>; <xref ref-type="bibr" rid="B27">Ghosh et al., 2013</xref>; <xref ref-type="bibr" rid="B68">Park et al., 2013</xref>; <xref ref-type="bibr" rid="B103">Viet et al., 2014</xref>). Other researchers have extended the efficient bandwidth by constructing multi-layer absorbers by vertically stacking multiple various metallic resonance structures (<xref ref-type="bibr" rid="B115">Xiong et al., 2013</xref>; <xref ref-type="bibr" rid="B123">Yang et al., 2013</xref>; <xref ref-type="bibr" rid="B5">Bhattacharyya et al., 2015</xref>). Some bandwidth enhancement approaches, including the frequency tunable method and lumped elements loading technique, have also been utilized for bandwidth enhancement (<xref ref-type="bibr" rid="B40">Kim et al., 2016</xref>; <xref ref-type="bibr" rid="B128">Zhang et al., 2016</xref>). These methods have disadvantages such as increasing unit dimension, greater thickness, and formation difficulty that limit their application. Consequently, there is an urgent need to design a single-layer MMA with high efficiency and broadband absorption (<xref ref-type="bibr" rid="B114">Xin et al., 2017</xref>).</p>
<p>
<xref ref-type="bibr" rid="B100">Sun et al. (2021</xref>) fabricated a low-frequency ultra-broad bandwidth metamaterial for microwave absorption based on activated waxberry. Applying natural hierarchical biomass is one solution for the contradiction between electromagnetic loss and impedance matching in microwave absorbers. The metamaterial demonstrated ultrabroad bandwidth properties, with an efficient absorbing band covering 1&#x2013;40&#xa0;GHz. An incident-angle independent feature (from 5&#xb0; to 40&#xb0;) was also detected. The high performance of this metamaterial was the result of good interface impedance matching of the fabricated metastructure and chemical activation, leading to a high dielectric loss. Additionally, the carbonized waxberry gradient radial microstructure is one essential reason for the broadband microwave absorption (<xref ref-type="fig" rid="F16">Figure 16</xref>).</p>
<fig id="F16" position="float">
<label>FIGURE 16</label>
<caption>
<p>Fabrication process of low-frequency ultrabroad bandwidth waxberry metamaterial (<xref ref-type="bibr" rid="B100">Sun et al., 2021</xref>).</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g016.tif"/>
</fig>
<p>
<xref ref-type="bibr" rid="B116">Xu et al. (2021</xref>) also fabricated a metamaterial microwave absorber based on planar indium tin oxide (ITO) and low-loss glass substrates that showed polarization insensitivity, wide operation angle, broad bandwidth, and high absorbing properties. After preparation and conducting relevant assessments such as transmission line theory and equivalent circuit model, the metamaterial showed &#x3e;90% absorption at 8&#x2013;20&#xa0;GHz with a vast angular range from 0 to 60&#xb0;. In addition, by applying transparent substrates such as quartz glass and soda-lime glass, high optical transmittance (approximately 80%) was achieved. The lower dielectric loss of quartz glass compared to other dielectric substrates indicated that the high microwave absorption mainly contributed to the planar indium tin oxide metamaterial structure.</p>
<p>
<xref ref-type="bibr" rid="B64">Ning et al. (2020b</xref>) manufactured a step-structured metamaterial electromagnetic absorber composed of magnetic materials including carbonyl iron powder blended in resin. The metamaterial showed &#x3e;90% electromagnetic absorption in the frequency range of 1.23&#x2013;19&#xa0;GHz with a measured thickness of 6&#xa0;mm. The broadband and strong electromagnetic absorption were mainly related to the structure-induced multi-resonances, the edge diffraction effects of the stepped structures, and the high magnetic loss of the magnetic materials. Additionally, the absorber showed a good angular performance, with incident angles of up to 70&#xb0; for transverse magnetic (TM)-polarized incidence and 45&#xb0; for transverse electric (TE) case (<xref ref-type="fig" rid="F17">Figure 17</xref>).</p>
<fig id="F17" position="float">
<label>FIGURE 17</label>
<caption>
<p>Photograph of the fabricated prototype (<xref ref-type="bibr" rid="B64">Ning et al., 2020b</xref>).</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g017.tif"/>
</fig>
<p>
<xref ref-type="bibr" rid="B15">Cheng et al. (2017a</xref>) described an ultra-thin broadband microwave absorber based on a magnetic rubber plate and cross-shaped metamaterial structure. Low-frequency absorption was easily achieved by adjusting the geometric specifications of the cross-shaped metamaterial structure and the magnetic rubber plate thickness. The authors reported a broader bandwidth (2.5&#xa0;GHz) with a thickness of 2&#xa0;mm. The bandwidth expansion resulted from the overlap of two resonance absorption peaks from the magnetic rubber plate and cross-shaped structure metamaterial, respectively.</p>
<p>
<xref ref-type="bibr" rid="B35">Huang et al. (2014</xref>) continued their work by proposing a second-order cross-fractal of magnetic materials (<xref ref-type="fig" rid="F18">Figure 18</xref>) to decrease the magnetic material thickness and broaden the bandwidth. The results showed that the prepared MTM thickness decreased to 1&#xa0;mm, with a bandwidth that broadened by 1.09&#xa0;GHz compared to the unloaded magnetic layer. After analyzing the metamaterial functions, the authors concluded that the MTM possessed two functions, namely, the addition of an extra absorption band and a slightly moved absorption band, due to the magnetic material.</p>
<fig id="F18" position="float">
<label>FIGURE 18</label>
<caption>
<p>
<bold>(A)</bold> Schematic of a metamaterial structure. <bold>(B)</bold> General configuration. <bold>(C)</bold> S11 curves of various structures (<xref ref-type="bibr" rid="B35">Huang et al., 2014</xref>).</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g018.tif"/>
</fig>
<p>
<xref ref-type="bibr" rid="B132">Zhang et al. (2020c</xref>) reported the successful fabrication of a metamaterial microwave absorber with high efficiency in the low-frequency regions, especially in the S-band (2&#x2013;4&#xa0;GHz). The absorber was formed by stacking layers of metamaterials and magnetic coatings. The results demonstrated that the manufactured metamaterial showed good impedance matching and broadband absorption (2.2&#x2013;9.5&#xa0;GHz) by using magnetic materials with high dielectric substrates and well-designed structures.</p>
</sec>
<sec id="s3-2">
<title>3.2 Quasi-antennas</title>
<p>A polarized structure under an input electromagnetic wave can induce a secondary field by producing a quasi-antenna structure, producing permeability and improving impedance matching, eventually boosting microwave attenuation.</p>
<p>Electrostatic interactions produced by lone pairs of electrons (non-bonding) on doped heteroatoms, heteroatoms in the polymer backbone, or anti-bonding orbitals containing &#x3c3;&#x2a; and &#x3c0;&#x2a;, develop electron hopping, conductive loss, micro currents, polarization paths, secondary fields, and conductive networks. <xref ref-type="fig" rid="F19">Figure 19</xref> shows the electrostatic susceptibility in g-C<sub>3</sub>N<sub>4</sub> (<xref ref-type="bibr" rid="B74">Peymanfar et al., 2022</xref>).</p>
<fig id="F19" position="float">
<label>FIGURE 19</label>
<caption>
<p>Overview of the chemical structure and electrostatic interactions in g-C<sub>3</sub>N<sub>4</sub> (<xref ref-type="bibr" rid="B74">Peymanfar et al., 2022</xref>).</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g019.tif"/>
</fig>
<p>The charge flow under an alternating field generates quasi-antennas, creating secondary magnetic fields that interact with and degrade the magnetic part of incident electromagnetic waves, producing permeability, strengthening impedance matching, and promoting microwave absorption (<xref ref-type="bibr" rid="B74">Peymanfar et al., 2022</xref>).</p>
<p>The heteroatoms in conjugated structures act as polarization centers and tune the energy gap, regulating conductivity and polarizability. Interestingly, both features can augment the quasi-antenna property in an alternating field. However, the tailored morphology of the dielectric structure plays a crucial role in producing quasi-antennas in an absorbing medium (<xref ref-type="bibr" rid="B83">Peymanfar and Mirkhan, 2022</xref>). Under an alternating field, the electron cloud migrates toward the atom with greater electronegativity. Thus, the heteroatom as a polarization center develops quasi-antenna paths, generating secondary magnetic fields, which can be deduced by Oersted&#x2019;s law.</p>
<p>
<xref ref-type="bibr" rid="B139">Zhou et al. (2006</xref>) studied the microwave-heat transformation of the ZnO whisker and its composite to explain how tetra needle-shaped semiconductor networks absorb microwaves and how quasi-antenna composites create diffuse reflections.</p>
<p>When the material is subjected to an electromagnetic field, the charge concentration at the tips of the T-ZnO whisker needles increases and they function as multipoles, tuned by the incident microwaves, contributing to microwave absorption. Comparison of T-ZnO to 1D ZnO (<xref ref-type="fig" rid="F20">Figure 20</xref>) shows that the former has extremely sharp tips, which contribute to the charge concentration and quasi-antenna effects. Furthermore, the quasi-antenna semiconducting crystalline structures of T-ZnO whiskers emit microwaves with random distributions, resulting in diffuse reflections of incident microwaves.</p>
<fig id="F20" position="float">
<label>FIGURE 20</label>
<caption>
<p>
<bold>(A)</bold> SEM images of T-ZnO and <bold>(B)</bold> 1D ZnO whiskers (<xref ref-type="bibr" rid="B139">Zhou et al., 2006</xref>).</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g020.tif"/>
</fig>
<p>Cheng et al investigated the microwave-absorbing properties of three-dimensional ZnO micro/nanorod networks. The random distribution of semi-conducting zinc oxide crystals in an isotropic quasi-antenna leads not only to the scattering of incident microwaves and attenuation of EM energy but also acts as microwave receivers by producing vibrating microcurrents in local networks (<xref ref-type="bibr" rid="B47">Li et al., 2010</xref>). The vibrating microcurrent induces the vortex magnetic field around the nanotrees, while the alternating magnetic field induces the vortex electric field around itself. The alternating vortex electric and magnetic fields induce each other and then generate EM radiation. This is justified by antenna theory. With the random orientation of these isotropic quasi-antennas, a large part of the EM radiation counteracts each other (<xref ref-type="bibr" rid="B142">Zhuo et al., 2008</xref>). <xref ref-type="fig" rid="F21">Figure 21</xref> shows the SEM and TEM images of the as-synthesized products, in which the nanotrees show isotropic crystal symmetry like isotropic antennas, which may play an important role in microwave attenuation (<xref ref-type="bibr" rid="B142">Zhuo et al., 2008</xref>).</p>
<fig id="F21" position="float">
<label>FIGURE 21</label>
<caption>
<p>SEM images of ZnO <bold>(A)</bold> nanowires and <bold>(B)</bold> nanotrees as well as TEM images of ZnO <bold>(C)</bold> nanowires and <bold>(D)</bold> branches of the nanotrees (<xref ref-type="bibr" rid="B142">Zhuo et al., 2008</xref>).</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g021.tif"/>
</fig>
<p>By receiving EM energy as an antenna and transforming it into dissipated current, netlike ZnO nanostructures act as a transmitting antenna and transform vibrating current into EM radiation (<xref ref-type="bibr" rid="B47">Li et al., 2010</xref>). The microwave-absorbing properties of nanostructured ZnO whiskers were explained by <xref ref-type="bibr" rid="B113">Xiao-Ling et al. (2007</xref>) using a quasi-antenna model. Due to their high length-to-diameter (LD) ratio and the n-type semiconductor property, polarized charges are readily formed at the sharp needlepoints of nanostructured ZnO whiskers during EMW transmission. Therefore, at high frequencies, a single leg of ZnO whiskers can be treated as a vibrating electric dipole, and a large number of nanostructured ZnO whiskers can be polarized as a large number of individual radiation sources. According to common knowledge, the established electric dipole is the fundamental cell of antenna radiation.</p>
<p>Cheng et al. designed novel 1D mesoporous MoO<sub>2</sub>/C hetero-nanowires. <xref ref-type="fig" rid="F22">Figure 22</xref> shows the mechanisms to elucidate the superior dielectric loss of the absorber. The 1D nanowires can be considered quasi-antenna acceptors based on the theory of short dipole antennas. Additionally, charge transitions and hopping will form conduction currents along with conjugated nanowires and established networks. This causes Joule-level heating in an alternating EM field. Lastly, interfacial polarization derived from multiple interfaces induced by MoO<sub>2</sub>, C, dipole polarization from MoO<sub>2</sub>, defects, and remaining heteroatoms convert microwave energy into thermal energy, leading to increased microwave absorption (<xref ref-type="bibr" rid="B16">Cheng et al., 2017b</xref>; <xref ref-type="bibr" rid="B33">Hou et al., 2019</xref>).</p>
<fig id="F22" position="float">
<label>FIGURE 22</label>
<caption>
<p>Schematic illustration of the microwave-dissipated process in MoO<sub>2</sub>/C nanowires (<xref ref-type="bibr" rid="B16">Cheng et al., 2017b</xref>).</p>
</caption>
<graphic xlink:href="fmats-10-1133287-g022.tif"/>
</fig>
<p>The evaluated mechanisms demonstrate that the metamaterial and quasi-antenna characteristics are efficient mechanisms to be considered in developing conjugated organic polymers to promote their microwave-absorbing features. These features can be inserted into their structures, particularly by modifying their morphology and elemental doping.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Conclusion and prospects</title>
<p>An increasing number of studies on EMA in the field of conjugated polymers have demonstrated that these conductive materials are excellent microwave absorbers with wide practical applications due to their remarkable dielectric properties and lightweight structures. This review examined various methods used to prepare organic polymer structures and explained the effects of morphology and doping on the microwave-absorbing ability of conductive polymers. Furthermore, the mechanisms resulting in the microwave-absorbing characteristics of pure carbon-based absorbers and other conjugated organic polymers containing heteroatoms were dissected and the doped and composite structures were evaluated. Due to their superior electrical contact and rapid electron conduction, this class of materials has attracted considerable interest for microwave absorption and shielding structures as well as energy conversion and storage. Since the conductive and polarization losses are the predominant characteristics associated with the microwave absorption of conjugated organic polymers, the discussion of morphology (wires, nanotubes, fiber, 2D, fabric, etc.) and orbital orientations facilitating the charge transitions are determinative in microwave-absorbing performance. Strong dielectric characteristics diminish impedance matching, reducing the propagation of incident waves into the absorbing medium, efficient bandwidth, and microwave attenuation. Therefore, these types of materials are equipped with magnetic components to establish permeability and increase microwave absorption and impedance matching, complicating the experimental process. Doping (elemental, oxidative, or reductive) is another way to tune the energy band gap and charge accumulation in HOMO, regulating polarization and conductive losses. Metamaterial and quasi-antenna mechanisms are observed in dielectric structures with unique morphologies. The charge circuits in conjugated structures and conductive networks can generate secondary fields; the polarized structures with special morphologies can form quasi-antenna structures, creating permeability and improving impedance matching. More importantly, the doped atoms can act as polarization centers in which higher electronegativity attracts electron clouds and enhances charge accumulation, promoting dipole polarization and quasi-antenna features. However, some conjugated organic polymers have complex synthetic routes, which limits practical applications. To address this obstacle, pyrolyzed biomass-derived materials have been widely applied as attainable and affordable precursors to fabricate microwave-absorbing materials. This review sheds new light on architecting conjugated organic polymers with unique morphology and considers the mechanisms of metamaterials and quasi-antennas to enhance the microwave-absorbing capability to provide practical microwave refiners. More importantly, the reported results clarified that doping is a facile solution to promote the microwave-absorbing characteristics of conjugated structures.</p>
</sec>
</body>
<back>
<sec id="s5">
<title>Author contributions</title>
<p>RP: project administration, supervision, methodology, visualization, resources, conceptualization, data curation, and writing&#x2014;review and editing; HD: writing&#x2014;review and editing; ES-Z: writing&#x2014;review and drawing schematic diagram (<xref ref-type="fig" rid="F1">Figure 1</xref>); MH: writing&#x2014;review; SD: writing&#x2014;review; NA-R: writing&#x2014;review; HG: project administration, supervision, and writing&#x2014;review and editing; AM: project administration and resources; GJ: review and writing&#x2014;editing; BA: writing&#x2014;review and editing.</p>
</sec>
<sec sec-type="COI-statement" id="s6">
<title>Conflict of interest</title>
<p>Authors RP and AM were employed by Peykareh Enterprise Development Co.</p>
<p>The remaining 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="s7">
<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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