基于通用的矢量电位和标量电位与介电常数张量无关的原理，由激发的电偶极子与位函数的关系得到了任意各向异性目标散射场的表达式。得到了通用的介电常数张量的变换关系，具体地给出了介电常数张量在球坐标系中的表达式，将目标的内外电场展为级数，得到了各向异性晶体圆锥体一级散射场的解析表达式。理论结果与文献一致，验证了算法的正确性。在光波波长与粒子尺寸相近的情况下，对所得结果进行了仿真，表明各向异性圆锥体的散射具有偶极辐射的特点。所得结果简单、通用，为研究形状更为复杂的各向异性目标、纳米粒子等的光散射研究提供了理论基础。

Based on the principle that both scalar potential and vector potential are independent of the dielectric tensor, by using the relation between electric dipoles and their potentials, the analytical expression of scattering field for the anisotropic medium target is developed. The transformation of dielectric tensor is researched. The expression of a tensor in spherical coordinate system is presented in detail. The electric fields inside and outside the target are expanded in series, and then the primary scattering field from the anisotropic gypsum cone is presented. The theoretical result coincides with those in literatures and its validity is tested. When the wavelength is near to the size of the nanoparticle, some simulations are carried out, the result shows that the scattering of anisotropic cones has the characteristic of dipole radiation. The method used is simple and universal. The result has provided a theory for studying the laser scattering from a complex anisotropic target.