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Scattering of a Gaussian beam by an anisotropic-coated eccentric conducting circular cylinder

机译:通过各向异性涂覆的偏心导电圆筒散射高斯梁

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摘要

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.
机译:提出了涂覆有围绕偏心介质介质的圆形完美电导体的高斯光束散射问题的解决方案。事件高斯光束源被扩展为具有泰勒系列的简单形式的近似表达。各向异性涂覆区域中的透射场表示为具有不同极性角度的特征平面波的无限总结。借助于边界条件获得散射场的未知系数。柱面函数的添加定理应用于从本地坐标转移到全局。无限系列可以根据实现溶液收敛的先决条件截断。讨论了横向电极化的情况。通过采用类似的方法,可以获得类似的横向磁极化的制剂。提出和讨论了一些数值结果。结果与偏心几何形状到同心1时,与预期的可用性一致。

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