{"title":"基于2×2-Matrix的各向异性超材料层光子晶体精确数学模型","authors":"K. Vytovtov, E. Barabanova, V. Vishnevskiy","doi":"10.1109/MetaMaterials.2019.8900820","DOIUrl":null,"url":null,"abstract":"The mathematic model of wave behavior within photonic crystal with anisotropic metamaterial layers based on 2×2 translation matrix is presented for the first time. The numerical calculations and result comparison with well-known 4×4 matrix methods are given also. It is proved also that the layer change theorem is valid for an anisotropic photonic crystal.","PeriodicalId":395568,"journal":{"name":"2019 Thirteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials)","volume":"26 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2019-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Accurate Mathematic Model Based on 2×2-Matrix for Anisotropic Photonic Crystals with Metamaterial Layers\",\"authors\":\"K. Vytovtov, E. Barabanova, V. Vishnevskiy\",\"doi\":\"10.1109/MetaMaterials.2019.8900820\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The mathematic model of wave behavior within photonic crystal with anisotropic metamaterial layers based on 2×2 translation matrix is presented for the first time. The numerical calculations and result comparison with well-known 4×4 matrix methods are given also. It is proved also that the layer change theorem is valid for an anisotropic photonic crystal.\",\"PeriodicalId\":395568,\"journal\":{\"name\":\"2019 Thirteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials)\",\"volume\":\"26 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2019-09-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2019 Thirteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/MetaMaterials.2019.8900820\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2019 Thirteenth International Congress on Artificial Materials for Novel Wave Phenomena (Metamaterials)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/MetaMaterials.2019.8900820","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The Accurate Mathematic Model Based on 2×2-Matrix for Anisotropic Photonic Crystals with Metamaterial Layers
The mathematic model of wave behavior within photonic crystal with anisotropic metamaterial layers based on 2×2 translation matrix is presented for the first time. The numerical calculations and result comparison with well-known 4×4 matrix methods are given also. It is proved also that the layer change theorem is valid for an anisotropic photonic crystal.