李瑾,冯晓毅.基于各向异性粒子介电常数张量重构的散射特性研究[J].装备环境工程,2017,14(12):88-92. LI Jin,FENG Xiao-yi.Scattering Characteristics Based on Reconstruction of Permittivity Tensor for Anisotropic Particle[J].Equipment Environmental Engineering,2017,14(12):88-92.
基于各向异性粒子介电常数张量重构的散射特性研究
Scattering Characteristics Based on Reconstruction of Permittivity Tensor for Anisotropic Particle
投稿时间:2017-09-27  修订日期:2017-12-15
DOI:10.7643/ issn.1672-9242.2017.12.017
中文关键词:  张量  介质重构  单位矢量  变换关系
英文关键词:tensor  medium reconstruction  unite vector  transform relation
基金项目:国家自然科学基金资助项目(60971079);陕西省教育厅自然科学基金资助项目(16JK1185)和陕西省自然科学基础研究项目(2014JM8312)
作者单位
李瑾 1.陕西学前师范学院计算机与电子信息系,西安 710100;2.西北工业大学 电子信息学院,西安 710072 
冯晓毅 西北工业大学 电子信息学院,西安 710072 
AuthorInstitution
LI Jin 1.Department of Physics and Electronic Engineering, Shaanxi Xueqian Normal University, Xi′an 710100, China; 2.College of Electronic Information, Northwestern Polytechnical University, Xi′an 710072, China 
FENG Xiao-yi College of Electronic Information, Northwestern Polytechnical University, Xi′an 710072, China 
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中文摘要:
      目的 简化各向异性介质中的光电传播、目标散射识别等问题。方法 基于电场强度矢量和电位移矢量的关系,提出将各向异性介质的介电常数张量重构为对角张量通用方法。结果 给出了对角张量元素的表达式和对应单位特征矢量,并作了详细的数值计算。得到了单位特征矢量坐标系中电磁场与原坐标系中电磁场的变换关系以及磁导率张量的变换关系;所用方法具有通用性,所得结果具有实用性。结论 在各向异性介质研究领域,可实现特征坐标系中的电磁场及介质参数与主坐标系的电磁场与介质参数的相互定量转换。
英文摘要:
      Objective To simplify the photoelectric transmission, target scattering etc. in anisotropic medium. Methods Based on relation between electric-field vector and electric displacement vector, reconstructing tensor of dielectric constant for anisotropic medial was proposed as the universal method for diagonal tensor. Results The element expressions and corresponding unit eigenvectors of diagonal tensor were developed with detailed numerical calculation. The transformation relation of electromagnetic field in the unit characteristic vector coordinates system and the primary coordinate system and the transformation relation of permeability tensor were presented. The method was universal and the result obtained was practical. Conclusion In the domain of anisotropic media, the result is able to quantitatively transform the E.M. field and medium parameter from the eigen coordinates system to the primary coordinates system and vice versa..
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