基于多尺度理论的电各向异性介质椭球内电场

 基于电磁场的多尺度变换理论，将一个各向异性介质椭球重构为一个各向同性介质椭球，进一步得到了新椭球的形体参数。利用各向同性椭球电磁场与各向异性椭球电磁场的多尺度关系，得出了各向异性介质椭球内电场的解析表达式，对所得结果进行了验证。计算了椭球内电场方向与外电场方向的夹角，仿真结果表明：外电场的方向对椭球内电场的影响不大，介电常数张量对椭球内电场的方向和大小有较大的影响。

Investigation of electric field inside an electric anisotropic dielectric ellipsoid based on scales theory

Based on the scales theory of electromagnetic waves, an anisotropic dielectric ellipsoid is reconstructed into an isotropic one in both electromagnetic and shape parameters. An analytical expression of the electric field inside the anisotropic dielectric ellipsoid is then presented by using the scales relation between electromagnetic fields of the two ellipsoids, and it agrees well with previously published results. The angle between directions of electric fields inside and outside the anisotropic ellipsoid is also derived. Simulations show that the direction of the external electric field has little effect on the internal field, while the dielectric tensor influences both the direction and amplitude of the internal field remarkably.