{"title":"平面天线阵列综合问题中的非线性频谱问题","authors":"L. Protsakh, P. Savenko, M. Tkach","doi":"10.1109/DIPED.2009.5306944","DOIUrl":null,"url":null,"abstract":"A nonlinear synthesis problem of plane equidistant antennas array by the given requirements to amplitude directivity pattern is investigated. For such problems non-uniqueness and branching of the solutions dependent on physical parameters of array is characteristic. Finding the set of branching points of the solutions is a nonlinear two-parametric spectral problem. The method of finding the branching lines of the solutions and numerical algorithms of solving the optimal synthesized amplitude directivity patterns is stated.","PeriodicalId":404875,"journal":{"name":"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","volume":"48 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2009-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Nonlinear spectral problem in synthesis problems of plane antenna arrays\",\"authors\":\"L. Protsakh, P. Savenko, M. Tkach\",\"doi\":\"10.1109/DIPED.2009.5306944\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A nonlinear synthesis problem of plane equidistant antennas array by the given requirements to amplitude directivity pattern is investigated. For such problems non-uniqueness and branching of the solutions dependent on physical parameters of array is characteristic. Finding the set of branching points of the solutions is a nonlinear two-parametric spectral problem. The method of finding the branching lines of the solutions and numerical algorithms of solving the optimal synthesized amplitude directivity patterns is stated.\",\"PeriodicalId\":404875,\"journal\":{\"name\":\"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory\",\"volume\":\"48 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/DIPED.2009.5306944\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2009 International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2009.5306944","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Nonlinear spectral problem in synthesis problems of plane antenna arrays
A nonlinear synthesis problem of plane equidistant antennas array by the given requirements to amplitude directivity pattern is investigated. For such problems non-uniqueness and branching of the solutions dependent on physical parameters of array is characteristic. Finding the set of branching points of the solutions is a nonlinear two-parametric spectral problem. The method of finding the branching lines of the solutions and numerical algorithms of solving the optimal synthesized amplitude directivity patterns is stated.