{"title":"A generalized source method for wave propagation","authors":"A. Tishchenko","doi":"10.1088/0963-9659/7/6/020","DOIUrl":null,"url":null,"abstract":"A generalized source method is presented for the resolution of the problem of monochromatic wave propagation in non-homogeneous, isotropic structures. When implemented in the form of an iterative technique, it is demonstrated to give the exact analytical solution of the known problem of propagation in a two half-space structure. When implemented in the form of an integral expression, it is shown to give an exact solution under a normalized numerical convergence criterion. It thus represents a new powerful method for electromagnetic wave propagation in arbitrary structures, and also for the assessment of other resolution techniques proposed so far in optical wave propagation, diffraction and scattering.","PeriodicalId":20787,"journal":{"name":"Pure and Applied Optics: Journal of The European Optical Society Part A","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"1998-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"20","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Pure and Applied Optics: Journal of The European Optical Society Part A","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/0963-9659/7/6/020","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 20
Abstract
A generalized source method is presented for the resolution of the problem of monochromatic wave propagation in non-homogeneous, isotropic structures. When implemented in the form of an iterative technique, it is demonstrated to give the exact analytical solution of the known problem of propagation in a two half-space structure. When implemented in the form of an integral expression, it is shown to give an exact solution under a normalized numerical convergence criterion. It thus represents a new powerful method for electromagnetic wave propagation in arbitrary structures, and also for the assessment of other resolution techniques proposed so far in optical wave propagation, diffraction and scattering.