各向异性磁介质边值关系的具体坐标形式  

The specific coordinate forms of boundary conditions in anisotropic magnetic medium

作　　者：李文略 LI Wenlüe(School of Basic Educational,Institute of Lingnan Normal University,524037,Zhanjiang,Guangdong,PRC)

机构地区：[1]岭南师范学院基础教育学院,广东湛江524037

出　　处：《曲阜师范大学学报（自然科学版）》2020年第2期72-78,共7页Journal of Qufu Normal University(Natural Science)

摘　　要：陈燊年(2012)由各向异性磁介质的性质方程出发,推导出用张量方程表示的各向异性磁介质的边值关系.张量方程的协变性是边值关系在不同坐标系中的具体坐标形式相互转换的数理依据.由张量方程的协变性,应用张量分析的矩阵方法推导出边值关系在空间直角坐标系和磁各向异性球坐标系下的具体坐标形式.推导的过程以及所得结果有助于加深对各向异性磁介质磁导属性的理解.对各向异性磁导率常数作适当的处理,所得的边值关系适用于各向同性磁介质.From the property equations of anisotropic magnetic medium,Chen-Shennian,a physics professor,deduced the boundary conditions expressed by tensor equations in anisotropic magnetic medium.The covariance of tensor equation is the mathematical basis for the transformation of boundary conditions in different coordinate systems.Because of the covariance of tensor equations,the specific coordinate forms of boundary conditions are deduced in the space rectangular coordinate system and in the spherical coordinate system of anisotropic magnetic medium with method of tensor analysis.The derived process and results are helpful to deepen the understanding of magnetic permeability properties of anisotropic magnetic medium.After proper treatment of anisotropic permeability constant,the boundary conditions obtained are applicable to isotropic magnetic medium.

关 键 词：各向异性磁介质 边值条件 张量 矩阵 

分 类 号：O441.4[理学—电磁学]