{"title":"Accurate numerical analysis of the truncated elliptic lens","authors":"A. Boriskin, A. Nosich","doi":"10.1109/LFNM.2003.1246128","DOIUrl":null,"url":null,"abstract":"The Muller integral-equation (MIE) technique is used for the analysis of the focusing properties of the truncated elliptic lens modeled by a smooth dielectric cylinder characterized with a piece-wise \"super-elliptic\" cross section. Such a full-wave mathematically correct method guarantees uniqueness of the solution for arbitrary set of parameters. In the discretization scheme, we also use analytical inversion of the canonical circular-cylinder counterpart of the problem and build a very efficient CAD tool. Numerical results for the near fields are presented and lens-focusing properties are studied for the E-polarization case.","PeriodicalId":368970,"journal":{"name":"5th International Workshop on Laser and Fiber-Optical Networks Modeling, 2003. Proceedings of LFNM 2003.","volume":"20 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2003-11-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"5th International Workshop on Laser and Fiber-Optical Networks Modeling, 2003. Proceedings of LFNM 2003.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/LFNM.2003.1246128","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
The Muller integral-equation (MIE) technique is used for the analysis of the focusing properties of the truncated elliptic lens modeled by a smooth dielectric cylinder characterized with a piece-wise "super-elliptic" cross section. Such a full-wave mathematically correct method guarantees uniqueness of the solution for arbitrary set of parameters. In the discretization scheme, we also use analytical inversion of the canonical circular-cylinder counterpart of the problem and build a very efficient CAD tool. Numerical results for the near fields are presented and lens-focusing properties are studied for the E-polarization case.