Yaojia Yang;Binchao Zhang;Fan Yang;Shenheng Xu;Maokun Li
{"title":"基于波矢域等效阻抗的频选表面角色散分析","authors":"Yaojia Yang;Binchao Zhang;Fan Yang;Shenheng Xu;Maokun Li","doi":"10.1109/TAP.2024.3438374","DOIUrl":null,"url":null,"abstract":"For the angular dispersion issue of frequency-selective surfaces (FSSs), a novel analysis method based on wavevector domain equivalent impedance is proposed. The main concept is to change the view from the usual (x, y) space to the wave vector (kx, ky) space. Comprehensive analyses and comparisons are conducted regarding the resonant frequency shifts of dipole and loop FSSs under oblique incidence. The total equivalent impedance of the FSS is treated as the aggregate of equivalent impedances corresponding to numerous Floquet modes. A hierarchical relationship is established among the incident angle \n<inline-formula> <tex-math>$\\boldsymbol {\\theta }$ </tex-math></inline-formula>\n, wave vector (kx, ky), equivalent impedance \n<inline-formula> <tex-math>$Z_{eq}$ </tex-math></inline-formula>\n, and reflection coefficient \n<inline-formula> <tex-math>$S_{11}$ </tex-math></inline-formula>\n. The variation of the incident angle \n<inline-formula> <tex-math>$\\boldsymbol {\\theta }$ </tex-math></inline-formula>\n is observed to exert a discernible influence on the tangential wave vector, denoted as \n<inline-formula> <tex-math>$k_{0}\\textit {sin}\\theta $ </tex-math></inline-formula>\n. This influence subsequently instigates a modification in the equivalent impedance, ultimately resulting in a shift in the resonant frequency of the FSS. Given the rapid convergence of higher order modes, a focused analysis of two primary modes proves sufficient for comprehending the overall behavior. The calculated S-parameters are essentially consistent with the simulated results, which demonstrates the accuracy of the proposed method.","PeriodicalId":13102,"journal":{"name":"IEEE Transactions on Antennas and Propagation","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Angular Dispersion Analysis of Frequency-Selective Surfaces Based on Wavevector Domain Equivalent Impedance\",\"authors\":\"Yaojia Yang;Binchao Zhang;Fan Yang;Shenheng Xu;Maokun Li\",\"doi\":\"10.1109/TAP.2024.3438374\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For the angular dispersion issue of frequency-selective surfaces (FSSs), a novel analysis method based on wavevector domain equivalent impedance is proposed. The main concept is to change the view from the usual (x, y) space to the wave vector (kx, ky) space. Comprehensive analyses and comparisons are conducted regarding the resonant frequency shifts of dipole and loop FSSs under oblique incidence. The total equivalent impedance of the FSS is treated as the aggregate of equivalent impedances corresponding to numerous Floquet modes. A hierarchical relationship is established among the incident angle \\n<inline-formula> <tex-math>$\\\\boldsymbol {\\\\theta }$ </tex-math></inline-formula>\\n, wave vector (kx, ky), equivalent impedance \\n<inline-formula> <tex-math>$Z_{eq}$ </tex-math></inline-formula>\\n, and reflection coefficient \\n<inline-formula> <tex-math>$S_{11}$ </tex-math></inline-formula>\\n. The variation of the incident angle \\n<inline-formula> <tex-math>$\\\\boldsymbol {\\\\theta }$ </tex-math></inline-formula>\\n is observed to exert a discernible influence on the tangential wave vector, denoted as \\n<inline-formula> <tex-math>$k_{0}\\\\textit {sin}\\\\theta $ </tex-math></inline-formula>\\n. This influence subsequently instigates a modification in the equivalent impedance, ultimately resulting in a shift in the resonant frequency of the FSS. Given the rapid convergence of higher order modes, a focused analysis of two primary modes proves sufficient for comprehending the overall behavior. The calculated S-parameters are essentially consistent with the simulated results, which demonstrates the accuracy of the proposed method.\",\"PeriodicalId\":13102,\"journal\":{\"name\":\"IEEE Transactions on Antennas and Propagation\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2024-08-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Transactions on Antennas and Propagation\",\"FirstCategoryId\":\"94\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10633255/\",\"RegionNum\":1,\"RegionCategory\":\"计算机科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Antennas and Propagation","FirstCategoryId":"94","ListUrlMain":"https://ieeexplore.ieee.org/document/10633255/","RegionNum":1,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Angular Dispersion Analysis of Frequency-Selective Surfaces Based on Wavevector Domain Equivalent Impedance
For the angular dispersion issue of frequency-selective surfaces (FSSs), a novel analysis method based on wavevector domain equivalent impedance is proposed. The main concept is to change the view from the usual (x, y) space to the wave vector (kx, ky) space. Comprehensive analyses and comparisons are conducted regarding the resonant frequency shifts of dipole and loop FSSs under oblique incidence. The total equivalent impedance of the FSS is treated as the aggregate of equivalent impedances corresponding to numerous Floquet modes. A hierarchical relationship is established among the incident angle
$\boldsymbol {\theta }$
, wave vector (kx, ky), equivalent impedance
$Z_{eq}$
, and reflection coefficient
$S_{11}$
. The variation of the incident angle
$\boldsymbol {\theta }$
is observed to exert a discernible influence on the tangential wave vector, denoted as
$k_{0}\textit {sin}\theta $
. This influence subsequently instigates a modification in the equivalent impedance, ultimately resulting in a shift in the resonant frequency of the FSS. Given the rapid convergence of higher order modes, a focused analysis of two primary modes proves sufficient for comprehending the overall behavior. The calculated S-parameters are essentially consistent with the simulated results, which demonstrates the accuracy of the proposed method.
期刊介绍:
IEEE Transactions on Antennas and Propagation includes theoretical and experimental advances in antennas, including design and development, and in the propagation of electromagnetic waves, including scattering, diffraction, and interaction with continuous media; and applications pertaining to antennas and propagation, such as remote sensing, applied optics, and millimeter and submillimeter wave techniques