{"title":"Numerical solution of nonlinear synthesis problem of flat aperture with use of smoothing functional","authors":"P. Savenko, M. Tkach","doi":"10.1109/DIPED.2008.4671810","DOIUrl":null,"url":null,"abstract":"One approach to the numerical solution of synthesis problem of antennas with flat radiating aperture according to the prescribed requirements to amplitude directivity pattern and presence of restrictions on norm of currents of excitation is stated. Nonuniqueness and branching of the solutions are characteristics of such class of problems. Finding the optimum solutions is reduced to investigation and numerical solution of Hammestein type nonlinear two-dimensional integral equation. Numerical algorithms for finding the branching lines and branch off solutions of this equation are constructed and justified. Numerical examples are given.","PeriodicalId":178792,"journal":{"name":"2008 13th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","volume":"213 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2008-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2008 13th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2008.4671810","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
One approach to the numerical solution of synthesis problem of antennas with flat radiating aperture according to the prescribed requirements to amplitude directivity pattern and presence of restrictions on norm of currents of excitation is stated. Nonuniqueness and branching of the solutions are characteristics of such class of problems. Finding the optimum solutions is reduced to investigation and numerical solution of Hammestein type nonlinear two-dimensional integral equation. Numerical algorithms for finding the branching lines and branch off solutions of this equation are constructed and justified. Numerical examples are given.
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