{"title":"Two reflector non-symmetric shaped antenna systems","authors":"E. Hasanov","doi":"10.1109/MMET.2000.888578","DOIUrl":null,"url":null,"abstract":"Two reflector antenna systems with non-symmetric reflecting surfaces under GO approximation are investigated. It is shown, that the problem of forming a desired far field pattern leads to solving the system of partial differential equations with respect to mapping functions between wave fronts. One of these equations is nonlinear and expresses the energy conversation law. It is shown that this equation can be solved separately in the class of non-smooth functions which has a discontinuity of the first kind along a given curve.","PeriodicalId":344401,"journal":{"name":"Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413)","volume":"75 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2000-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Conference Proceedings 2000 International Conference on Mathematical Methods in Electromagnetic Theory (Cat. No.00EX413)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MMET.2000.888578","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract

Two reflector antenna systems with non-symmetric reflecting surfaces under GO approximation are investigated. It is shown, that the problem of forming a desired far field pattern leads to solving the system of partial differential equations with respect to mapping functions between wave fronts. One of these equations is nonlinear and expresses the energy conversation law. It is shown that this equation can be solved separately in the class of non-smooth functions which has a discontinuity of the first kind along a given curve.
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双反射面非对称形天线系统
研究了在GO近似下具有非对称反射面的两种反射面天线系统。结果表明,形成所需远场图形的问题导致求解关于波前之间映射函数的偏微分方程组。其中一个方程是非线性的,表达了能量交换定律。证明了该方程可以在沿给定曲线具有第一类不连续的非光滑函数中单独求解。
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