电各向异性介质中ζ空间与χ空间的变换关系及应用

Transformation of Space ζ and Space χ in Anisotropic Dielectric and its Application

为能使用张量分析的矩阵方法对ζ空间中的一些静电场规律加以研究,将在陈燊年定义ζ空间的基础上重新定义ζ空间,进而得到ζ空间与χ空间的变换关系.在此基础上可由张量方程的协变性得到在ζ空间中电各向异性介质中的泊松方程和高斯定理的具体表达形式,以及应用变换关系得到它们在χ空间中的具体表达形式.

In order to research electrostatic field rules of anisotropic dielectric with matrix method of tensor analysis, space ζ was redefined based on the space ζ defined by Chen Shennian and the transformation of space ζ and space χ was got. The specific expressions of Poisson equation and Gauss＇s theorem in space ζ was got because of the covariance of tensor equations, and the specific expressions in space χ was got by applying the transformation of space ζ and space χ.