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中文摘要：
得到了计算各向异性非均匀介质电场的有限差分方程，验证了所得差分方程的正确性；得到了各向异性三棱体内外电场与电势的分布，研究了该目标的Rayleigh散射特性；仿真结果表明：外电场极化方向的介电常数明显的影响散射，垂直方向的介电常数影响不大；算法不受目标形状、电磁参数等因素的影响，简单明了，具有良好的通用性。
英文摘要：
The finite difference equation is developed, which may be used to calculate the electric field of the inhomogeneous anisotropic medium. The validity of the equation is tested. The distributions of the electric potential and the electric field are presented for an anisotropic trihedron body. Its Rayleigh scattering property is researched. Simulations show that the dielectric constant in the polarizing direction of the outside electric field has an obvious impact on scattering, the dielectric constant in the perpendicular direction has not much effect on it. The arithmetic is not confined by the factors such as the target＇ s shape and electric parameter etc. and has the peculiarities of briefness and versatility.
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