L. Tkeshelashvili, S. Pereira, M. Frank, D. Hermann, K. Busch
{"title":"非线性光子晶体","authors":"L. Tkeshelashvili, S. Pereira, M. Frank, D. Hermann, K. Busch","doi":"10.1109/CLEOE.2003.1312311","DOIUrl":null,"url":null,"abstract":"In this paper, we describe a theoretical approach by which we can qualitatively and quantitatively determine the nonlinear optical properties of a photonic crystals. We start by accurately characterizing the linear properties of the structure, using a recently developed multigrid method to efficiently compute the photonic bandstructure and Bloch functions of the PC. This results in a generalization of the slowly varying envelope approximation to the case of nonlinear PCs.","PeriodicalId":6370,"journal":{"name":"2003 Conference on Lasers and Electro-Optics Europe (CLEO/Europe 2003) (IEEE Cat. No.03TH8666)","volume":"73 1","pages":"250-"},"PeriodicalIF":0.0000,"publicationDate":"2003-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Nonlinear photonic crystals\",\"authors\":\"L. Tkeshelashvili, S. Pereira, M. Frank, D. Hermann, K. Busch\",\"doi\":\"10.1109/CLEOE.2003.1312311\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we describe a theoretical approach by which we can qualitatively and quantitatively determine the nonlinear optical properties of a photonic crystals. We start by accurately characterizing the linear properties of the structure, using a recently developed multigrid method to efficiently compute the photonic bandstructure and Bloch functions of the PC. This results in a generalization of the slowly varying envelope approximation to the case of nonlinear PCs.\",\"PeriodicalId\":6370,\"journal\":{\"name\":\"2003 Conference on Lasers and Electro-Optics Europe (CLEO/Europe 2003) (IEEE Cat. No.03TH8666)\",\"volume\":\"73 1\",\"pages\":\"250-\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2003-06-22\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2003 Conference on Lasers and Electro-Optics Europe (CLEO/Europe 2003) (IEEE Cat. No.03TH8666)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/CLEOE.2003.1312311\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2003 Conference on Lasers and Electro-Optics Europe (CLEO/Europe 2003) (IEEE Cat. No.03TH8666)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/CLEOE.2003.1312311","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper, we describe a theoretical approach by which we can qualitatively and quantitatively determine the nonlinear optical properties of a photonic crystals. We start by accurately characterizing the linear properties of the structure, using a recently developed multigrid method to efficiently compute the photonic bandstructure and Bloch functions of the PC. This results in a generalization of the slowly varying envelope approximation to the case of nonlinear PCs.