{"title":"Generalized variational approach to the waveguide array synthesis","authors":"M. Andriychuk","doi":"10.1109/DIPED.2004.242804","DOIUrl":null,"url":null,"abstract":"Some generalizations of the variational statement for the problem of antenna synthesis according to a prescribed amplitude radiation pattern (RP) are examined. An additional summand is included in optimizing the functional, that allows the electromagnetic field to be minimized in the near zone. The respective nonlinear Euler's equation is obtained and investigated by numerical methods. The results of numerical modeling are represented. They show the opportunity for the formation of nulls in the synthesized RPs, as well as a decrease of field amplitude in given areas of the near zone.","PeriodicalId":126782,"journal":{"name":"Proceedings of the 9th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2004. DIPED 2004.","volume":"16 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2004-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 9th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, 2004. DIPED 2004.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/DIPED.2004.242804","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract

Some generalizations of the variational statement for the problem of antenna synthesis according to a prescribed amplitude radiation pattern (RP) are examined. An additional summand is included in optimizing the functional, that allows the electromagnetic field to be minimized in the near zone. The respective nonlinear Euler's equation is obtained and investigated by numerical methods. The results of numerical modeling are represented. They show the opportunity for the formation of nulls in the synthesized RPs, as well as a decrease of field amplitude in given areas of the near zone.
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波导阵列合成的广义变分方法
研究了按规定幅值辐射方向图(RP)进行天线综合问题的变分表述的一些推广。在优化函数中包含了一个额外的求和,使电磁场在近区最小。得到了相应的非线性欧拉方程,并用数值方法进行了研究。给出了数值模拟的结果。它们显示了在合成rp中形成零的机会,以及在近区给定区域的场振幅的减少。
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