{"title":"有序向列液晶中的多重光散射","authors":"A. Heiderich, R. Maynard, B. Tiggelen","doi":"10.1051/JP2:1997104","DOIUrl":null,"url":null,"abstract":"We study multiple light scattering in ordered nematic liquid crystals from long- range dielectric fluctuations. The mass operator is calculated in the first Born approximation of Dyson's equation for the average amplitude. Ne~v results are found concerning the spectral function. In addition, the average intensity is obtained numerically using a Monte-Carlo simula- tion. We simulated the anisotropic shape of the coherent backscattering cone~ the time-of-flight distribution functions and the polarization in the diffusive regime. In this article we present a vector treatment of the radiative transfer in these materials, which takes polarization correctly into account. The average field amplitude is obtained ana- lytically solving Dyson's equation while a numerical simulation has been employed to determine the average intensity. The latter approach corresponds to the solution of the Bethe-Salpeter equation using Boltzmann~s approximation, without relying upon the diffusion approximation.","PeriodicalId":14774,"journal":{"name":"Journal De Physique Ii","volume":"43 1","pages":"765-792"},"PeriodicalIF":0.0000,"publicationDate":"1997-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"9","resultStr":"{\"title\":\"Multiple Light Scattering in Ordered Nematic Liquid Crystals\",\"authors\":\"A. Heiderich, R. Maynard, B. Tiggelen\",\"doi\":\"10.1051/JP2:1997104\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study multiple light scattering in ordered nematic liquid crystals from long- range dielectric fluctuations. The mass operator is calculated in the first Born approximation of Dyson's equation for the average amplitude. Ne~v results are found concerning the spectral function. In addition, the average intensity is obtained numerically using a Monte-Carlo simula- tion. We simulated the anisotropic shape of the coherent backscattering cone~ the time-of-flight distribution functions and the polarization in the diffusive regime. In this article we present a vector treatment of the radiative transfer in these materials, which takes polarization correctly into account. The average field amplitude is obtained ana- lytically solving Dyson's equation while a numerical simulation has been employed to determine the average intensity. The latter approach corresponds to the solution of the Bethe-Salpeter equation using Boltzmann~s approximation, without relying upon the diffusion approximation.\",\"PeriodicalId\":14774,\"journal\":{\"name\":\"Journal De Physique Ii\",\"volume\":\"43 1\",\"pages\":\"765-792\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1997-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"9\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal De Physique Ii\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1051/JP2:1997104\",\"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 De Physique Ii","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1051/JP2:1997104","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Multiple Light Scattering in Ordered Nematic Liquid Crystals
We study multiple light scattering in ordered nematic liquid crystals from long- range dielectric fluctuations. The mass operator is calculated in the first Born approximation of Dyson's equation for the average amplitude. Ne~v results are found concerning the spectral function. In addition, the average intensity is obtained numerically using a Monte-Carlo simula- tion. We simulated the anisotropic shape of the coherent backscattering cone~ the time-of-flight distribution functions and the polarization in the diffusive regime. In this article we present a vector treatment of the radiative transfer in these materials, which takes polarization correctly into account. The average field amplitude is obtained ana- lytically solving Dyson's equation while a numerical simulation has been employed to determine the average intensity. The latter approach corresponds to the solution of the Bethe-Salpeter equation using Boltzmann~s approximation, without relying upon the diffusion approximation.