介质间平面界面的时域菲涅耳公式

Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413) Pub Date : 2000-09-12 DOI:10.1109/MMET.2000.888530

A. Nerukh

{"title":"介质间平面界面的时域菲涅耳公式","authors":"A. Nerukh","doi":"10.1109/MMET.2000.888530","DOIUrl":null,"url":null,"abstract":"The time-domain operators are obtained that allow one to describe a transformation of an arbitrary initial field by a flat interface between two media in the 3-D case. The medium in one of the two halfspaces changes its permittivity and acquires a conductivity. The description includes a case when a boundary is created at some moment of time. Transmitted and reflected signals are determined by integral operators that take into account the field polarisation characteristics. Weight factors in kernels of these operators are just analogues of Fresnel formulae. The obtained resolvent consists of two parts the first of which is a mere generalisation of a resolvent for an unbounded medium and the second occurs through availability of an interface between media.","PeriodicalId":344401,"journal":{"name":"Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413)","volume":"42 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Time-domain Fresnel's formulas for a plane interface between media\",\"authors\":\"A. Nerukh\",\"doi\":\"10.1109/MMET.2000.888530\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The time-domain operators are obtained that allow one to describe a transformation of an arbitrary initial field by a flat interface between two media in the 3-D case. The medium in one of the two halfspaces changes its permittivity and acquires a conductivity. The description includes a case when a boundary is created at some moment of time. Transmitted and reflected signals are determined by integral operators that take into account the field polarisation characteristics. Weight factors in kernels of these operators are just analogues of Fresnel formulae. The obtained resolvent consists of two parts the first of which is a mere generalisation of a resolvent for an unbounded medium and the second occurs through availability of an interface between media.\",\"PeriodicalId\":344401,\"journal\":{\"name\":\"Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413)\",\"volume\":\"42 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MMET.2000.888530\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMET.2000.888530","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

得到了时域算符，使人们能够描述任意初始场在三维情况下通过两种介质之间的平面界面的变换。在两个半空间之一中的介质改变其介电常数并获得电导率。所述描述包括在某一时刻创建边界的情况。发射和反射信号由考虑了场极化特性的积分算子决定。这些算子核中的权重因子只是菲涅耳公式的类似物。所得到的解由两部分组成，第一部分是对无界介质的解的简单概括，第二部分是通过介质之间的接口的可用性来实现的。

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

Time-domain Fresnel's formulas for a plane interface between media

The time-domain operators are obtained that allow one to describe a transformation of an arbitrary initial field by a flat interface between two media in the 3-D case. The medium in one of the two halfspaces changes its permittivity and acquires a conductivity. The description includes a case when a boundary is created at some moment of time. Transmitted and reflected signals are determined by integral operators that take into account the field polarisation characteristics. Weight factors in kernels of these operators are just analogues of Fresnel formulae. The obtained resolvent consists of two parts the first of which is a mere generalisation of a resolvent for an unbounded medium and the second occurs through availability of an interface between media.

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

Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413)

自引率

0.00%

发文量