{"title":"Introducing Oblique Coordinates in Numerical Methods, Applied to the Computation of Band Structures","authors":"S. Helfert","doi":"10.1109/ICTON.2007.4296148","DOIUrl":null,"url":null,"abstract":"In this contribution, we show how oblique coordinates can also be used in other numerical methods, namely the Galerkin-method (GM) and the finite difference (FD) method. We give the main formulas (for 2D-structures) and numerical results from band-structure calculations.","PeriodicalId":265478,"journal":{"name":"2007 9th International Conference on Transparent Optical Networks","volume":" 9","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"2007 9th International Conference on Transparent Optical Networks","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICTON.2007.4296148","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
In this contribution, we show how oblique coordinates can also be used in other numerical methods, namely the Galerkin-method (GM) and the finite difference (FD) method. We give the main formulas (for 2D-structures) and numerical results from band-structure calculations.