A solution to the problem of Gaussian beam scattering by a circular perfect electric conductor coated with eccentrically anisotropic media is presented. The incident Gaussian beam source is expanded as an approximate expression in the simple form with Taylor's series. The transmitted field in the anisotropically coated region is expressed as an infinite summation of Eigen plane waves with different polar angles. The unknown coefficients of the scattered fields are obtained with the aid of the boundary conditions. The addition theorem for cylindrical functions is applied to transfer from the local coordinates to the global ones. The infinite series can be truncated under the prerequisite of achieving the solution convergence. Only the case of transverse-electric polarization is discussed. The similar formulation of transverse-magnetic polarization can be obtained by adopting a similar method. Some numerical results are presented and discussed. The result is in agreement with that available as expected when the eccentric geometry comes to the concentric one.

中文翻译：

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各向异性涂层偏心导电圆柱对高斯光束的散射

提出了一种通过涂有偏心各向异性介质的圆形完美电导体解决高斯光束散射问题的方法。入射高斯光束源被扩展为泰勒级数的简单形式的近似表达式。各向异性涂层区域中的透射场表示为具有不同极角的本征平面波的无限总和。借助边界条件得到散射场的未知系数。圆柱函数的加法定理被应用于从局部坐标到全局坐标的转换。在达到解收敛的前提下，无穷级数可以被截断。仅讨论横向电极化的情况。采用类似的方法可以得到类似的横向磁极化公式。给出并讨论了一些数值结果。结果与当偏心几何变为同心几何时预期的结果一致。