基于电磁场的多尺度变换理论,使得各向异性介质同性化,得出了各向异性介质球内外电场的解析表达式,所得结果与文献完全一致;计算了球内电场方向与外电场方向的夹角,结果表明,外电场的方向对球内电场的大小有显著的影响,介电常数张量对球内电场的方向有较大的影响。
The analytical expressions of electric field inside and outside an anisotropic sphere were presented by changing anisotropic medium into isotropic one based on the scales transformation theory of electromagnetic field. The obtained results were in good agreement with that in literatures. The angle between the direction of inside field and that of outside field was derived. Simulations showed that the direction of outside field affects the size of inside field evidently and the dielectric constant tensor influences the direction of that field remarkably.