基于电磁场的多尺度变换理论,重整各向异性介质椭球电磁参数和形体参数,得出了各向异性介质椭球内电场的解析表达式,对所得结果进行了检验。计算了椭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。所得结果在目标Rayleigh散射研究领域有一定的应用前景。
The analytical expression of electric field inside elliptical sphere with anisotropic medium was presented by reforming both the electromagnetic parameter and shape parameter of this elliptical sphere with the scales transformation of electromagnetic theory. The obtained results were verified. The angle between the direction of inside field and that of outside field was derived. Simulations showed that the direction of outside field not much affect the size of inside field, but the dielectric constant tensor influences both the direction and size of that field remarkably. The obtained results have some applications in the research of Rayleigh scattering.