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中文摘要：
自由空间和各向同性介质空间中的格林函数被广泛应用于求解非齐次标量势的分布问题；各向异性介质空间的格林函数对于研究各向异性介质中电势的分布具有重要的理论意义和应用价值。基于各向同性空间的格林函数和电磁场的多尺度理论，将各向异性介质空间进行各向同性化处理，得到了各向异性介质中的格林函数。通过所得结果，研究了点电荷在各向异性介质中所激发的电势；验证了所得结果的正确性，所得结果为研究各向异性介质中的相关静电场边值问题做了有益的探索。
英文摘要：
The Green function of free space and the isotropic media space is widely used to solve the problems of nonhomogeneous scalar potential distribution. The Green function of anisotropic space has impor- tant theoretical significance and application value in solving the electric potential distribution of anisotropic media. Based on the Green function of the isotropic space and the scales theory, the anisotropic medium is changed as an isotropic material in physics. The Green function of anisotropic space is presented. The electric potential induced by the electric charge in the anisotropic medium is obtained by using the Green function. The correctness of the obtained results is tested. This article has conducted useful researches for the static boundary value problems of anisotropic medium.
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