近零Epsilon (ENZ)材料中电磁波问题的摄动-渐近级数法

IF 0.8 Q4 ENGINEERING, ELECTRICAL & ELECTRONIC

Advanced Electromagnetics Pub Date : 2022-04-01 DOI:10.7716/aem.v11i1.1668

M. K. Akkaya, A. Yılmaz, M. Kuzuoglu

{"title":"近零Epsilon (ENZ)材料中电磁波问题的摄动-渐近级数法","authors":"M. K. Akkaya, A. Yılmaz, M. Kuzuoglu","doi":"10.7716/aem.v11i1.1668","DOIUrl":null,"url":null,"abstract":"Electromagnetic waves present very interesting features while the permittivity of the environment approaches to zero. This property known as ENZ (Epsilon Near Zero) has been analysed with the perturbation approach-asymptotic analysis method. Wave equations have been solved by space transformation instead of phasor domain solution and the results compared. Wave equation is non-dimensionalised in order to allow asymptotic series extension. Singular perturbation theory applied to the Wave Equation and second order series extension of electromagnetic waves have been done. Validity range of the perturbation method has been investigated by modifying parameters.","PeriodicalId":44653,"journal":{"name":"Advanced Electromagnetics","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Perturbation-Asymptotic Series Approach for an Electromagnetic Wave Problem in an Epsilon Near Zero (ENZ) Material\",\"authors\":\"M. K. Akkaya, A. Yılmaz, M. Kuzuoglu\",\"doi\":\"10.7716/aem.v11i1.1668\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Electromagnetic waves present very interesting features while the permittivity of the environment approaches to zero. This property known as ENZ (Epsilon Near Zero) has been analysed with the perturbation approach-asymptotic analysis method. Wave equations have been solved by space transformation instead of phasor domain solution and the results compared. Wave equation is non-dimensionalised in order to allow asymptotic series extension. Singular perturbation theory applied to the Wave Equation and second order series extension of electromagnetic waves have been done. Validity range of the perturbation method has been investigated by modifying parameters.\",\"PeriodicalId\":44653,\"journal\":{\"name\":\"Advanced Electromagnetics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2022-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advanced Electromagnetics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7716/aem.v11i1.1668\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advanced Electromagnetics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7716/aem.v11i1.1668","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}

引用次数: 0

摘要

当环境的介电常数接近零时，电磁波呈现出非常有趣的特征。这种性质被称为ENZ（Epsilon近零）已经用摄动方法渐近分析方法进行了分析。用空间变换代替相量域解求解波动方程，并对结果进行了比较。波动方程是无量纲的，以便允许渐近级数的扩展。将奇异摄动理论应用于波动方程和电磁波的二阶级数展开。通过参数的修改，考察了摄动法的有效范围。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Perturbation-Asymptotic Series Approach for an Electromagnetic Wave Problem in an Epsilon Near Zero (ENZ) Material

Electromagnetic waves present very interesting features while the permittivity of the environment approaches to zero. This property known as ENZ (Epsilon Near Zero) has been analysed with the perturbation approach-asymptotic analysis method. Wave equations have been solved by space transformation instead of phasor domain solution and the results compared. Wave equation is non-dimensionalised in order to allow asymptotic series extension. Singular perturbation theory applied to the Wave Equation and second order series extension of electromagnetic waves have been done. Validity range of the perturbation method has been investigated by modifying parameters.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Advanced Electromagnetics ENGINEERING, ELECTRICAL & ELECTRONIC-

CiteScore

2.40

自引率

12.50%

发文量

审稿时长

10 weeks

期刊介绍： Advanced Electromagnetics, is electronic peer-reviewed open access journal that publishes original research articles as well as review articles in all areas of electromagnetic science and engineering. The aim of the journal is to become a premier open access source of high quality research that spans the entire broad field of electromagnetics from classic to quantum electrodynamics.