{"title":"非均匀介质下A-Φ公式的数值模态分解","authors":"Boyuan Zhang, W. Chew, D. Jiao, H. Gan","doi":"10.1109/IEEECONF35879.2020.9330376","DOIUrl":null,"url":null,"abstract":"Compared with the E-H electromagnetic field formula, the $\\mathrm{A}-\\Phi$ formula is immune to low-frequency breakdown, which makes it an accurate model over broad frequency range. Besides, the $\\mathrm{A}-\\Phi$ formula plays an essential role in the quantization of the EM $\\mathrm{field}$ and taking other quantum effects into consideration together with EM field. In this paper, the numerical mode decomposition expressions for the $\\mathrm{A}-\\Phi$ formula are derived based on the finite element method for inhomogeneous dielectric materials, which can be used as a fast numerical solver for and finding the eigenmodes of the $\\mathrm{A}-\\Phi$ formula with inhomogeneous EM background.","PeriodicalId":135770,"journal":{"name":"2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting","volume":"293 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical Mode Decomposition for the A-Φ Formulation with Inhomogeneous Media\",\"authors\":\"Boyuan Zhang, W. Chew, D. Jiao, H. Gan\",\"doi\":\"10.1109/IEEECONF35879.2020.9330376\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Compared with the E-H electromagnetic field formula, the $\\\\mathrm{A}-\\\\Phi$ formula is immune to low-frequency breakdown, which makes it an accurate model over broad frequency range. Besides, the $\\\\mathrm{A}-\\\\Phi$ formula plays an essential role in the quantization of the EM $\\\\mathrm{field}$ and taking other quantum effects into consideration together with EM field. In this paper, the numerical mode decomposition expressions for the $\\\\mathrm{A}-\\\\Phi$ formula are derived based on the finite element method for inhomogeneous dielectric materials, which can be used as a fast numerical solver for and finding the eigenmodes of the $\\\\mathrm{A}-\\\\Phi$ formula with inhomogeneous EM background.\",\"PeriodicalId\":135770,\"journal\":{\"name\":\"2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting\",\"volume\":\"293 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-07-05\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/IEEECONF35879.2020.9330376\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2020 IEEE International Symposium on Antennas and Propagation and North American Radio Science Meeting","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/IEEECONF35879.2020.9330376","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical Mode Decomposition for the A-Φ Formulation with Inhomogeneous Media
Compared with the E-H electromagnetic field formula, the $\mathrm{A}-\Phi$ formula is immune to low-frequency breakdown, which makes it an accurate model over broad frequency range. Besides, the $\mathrm{A}-\Phi$ formula plays an essential role in the quantization of the EM $\mathrm{field}$ and taking other quantum effects into consideration together with EM field. In this paper, the numerical mode decomposition expressions for the $\mathrm{A}-\Phi$ formula are derived based on the finite element method for inhomogeneous dielectric materials, which can be used as a fast numerical solver for and finding the eigenmodes of the $\mathrm{A}-\Phi$ formula with inhomogeneous EM background.