{"title":"单轴晶体介质中电磁场的量子化:长波极限","authors":"V. Peřinová, A. Luks","doi":"10.1088/1464-4266/7/8/001","DOIUrl":null,"url":null,"abstract":"The derivation of the relative electric permittivity tensor from a fully classical model is known, and a calculation of this quantity from a semiclassical model in the first order of perturbation theory is familiar as well. In applications to commonly occurring uniaxial crystalline media without optical activity, the whole discrete lattice is represented by a single atomic oscillator. We calculate the relative electric permittivity tensor provided that the discrete lattice can be represented by a continuum of quantum harmonic oscillators.","PeriodicalId":87441,"journal":{"name":"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2005-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1088/1464-4266/7/8/001","citationCount":"3","resultStr":"{\"title\":\"Quantization of the electromagnetic field in uniaxial crystalline dielectric media: long-wave limit\",\"authors\":\"V. Peřinová, A. Luks\",\"doi\":\"10.1088/1464-4266/7/8/001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The derivation of the relative electric permittivity tensor from a fully classical model is known, and a calculation of this quantity from a semiclassical model in the first order of perturbation theory is familiar as well. In applications to commonly occurring uniaxial crystalline media without optical activity, the whole discrete lattice is represented by a single atomic oscillator. We calculate the relative electric permittivity tensor provided that the discrete lattice can be represented by a continuum of quantum harmonic oscillators.\",\"PeriodicalId\":87441,\"journal\":{\"name\":\"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2005-08-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1088/1464-4266/7/8/001\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1088/1464-4266/7/8/001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of optics. B, Quantum and semiclassical optics : journal of the European Optical Society","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1088/1464-4266/7/8/001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Quantization of the electromagnetic field in uniaxial crystalline dielectric media: long-wave limit
The derivation of the relative electric permittivity tensor from a fully classical model is known, and a calculation of this quantity from a semiclassical model in the first order of perturbation theory is familiar as well. In applications to commonly occurring uniaxial crystalline media without optical activity, the whole discrete lattice is represented by a single atomic oscillator. We calculate the relative electric permittivity tensor provided that the discrete lattice can be represented by a continuum of quantum harmonic oscillators.