{"title":"二维异形反射镜合成中的数值梯度积分方程技术","authors":"A.A. Nosich, T. Magath","doi":"10.1109/MMET.2006.1689867","DOIUrl":null,"url":null,"abstract":"An accurate near-field diffraction synthesis method for 2-D shaped reflectors in the E-polarized wave is presented. The implemented method is based on a singular integral equation (SIE), which is descretized with the method of discrete singularities (MDS). The gradient of the objective function is derived with the aid of a certain SIE whose right-hand part is computed from the electric field SIE for the surface current. Such a semi-analytical gradient method is favorably timesaving and has controlled accuracy of computations","PeriodicalId":236672,"journal":{"name":"2006 International Conference on Mathematical Methods in Electromagnetic Theory","volume":"1 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2006-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Numerical Gradient Integral-Equation Technique in 2-D Shaped Reflector Synthesis\",\"authors\":\"A.A. Nosich, T. Magath\",\"doi\":\"10.1109/MMET.2006.1689867\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"An accurate near-field diffraction synthesis method for 2-D shaped reflectors in the E-polarized wave is presented. The implemented method is based on a singular integral equation (SIE), which is descretized with the method of discrete singularities (MDS). The gradient of the objective function is derived with the aid of a certain SIE whose right-hand part is computed from the electric field SIE for the surface current. Such a semi-analytical gradient method is favorably timesaving and has controlled accuracy of computations\",\"PeriodicalId\":236672,\"journal\":{\"name\":\"2006 International Conference on Mathematical Methods in Electromagnetic Theory\",\"volume\":\"1 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2006-09-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2006 International Conference on Mathematical Methods in Electromagnetic Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MMET.2006.1689867\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2006 International Conference on Mathematical Methods in Electromagnetic Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMET.2006.1689867","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Numerical Gradient Integral-Equation Technique in 2-D Shaped Reflector Synthesis
An accurate near-field diffraction synthesis method for 2-D shaped reflectors in the E-polarized wave is presented. The implemented method is based on a singular integral equation (SIE), which is descretized with the method of discrete singularities (MDS). The gradient of the objective function is derived with the aid of a certain SIE whose right-hand part is computed from the electric field SIE for the surface current. Such a semi-analytical gradient method is favorably timesaving and has controlled accuracy of computations