{"title":"波传播的广义源方法","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":"{\"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}","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}
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.