We present an efficient approach for the solution of the 2-D forward electromagnetic scattering problem related to arbitrary-shaped multilayer cylinders having embedded inhomogeneities. For this purpose, we combine the method of moments (MoM) with the previously introduced approach that enables simple and fast computation of the field scattered from arbitrary-shaped multilayer cylinders through the expansion of the field into a series of cylindrical functions. The MoM is applied for the computation of the field scattered from the embedded inhomogeneity only by discretizing it. In order to apply MoM in such a manner, first, the above-mentioned series representation approach is applied straightforwardly for the computation of the field scattered from the multilayer background. Then, we propose an adaptation of this approach for fast computation of the integral of the background Green's function over each cell of the MoM mesh. This adaptation also deals with the singularity of the Green's function. The efficiency of the method is shown in various numerical simulations.

中文翻译：

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具有嵌入不均匀性的任意形状的多层圆柱体的 TM 散射

我们提出了一种解决与具有嵌入不均匀性的任意形状多层圆柱体相关的二维前向电磁散射问题的有效方法。为此，我们将矩量法 (MoM) 与之前介绍的方法相结合，通过将场扩展为一系列圆柱函数，可以简单快速地计算从任意形状的多层圆柱散射的场。MoM 用于计算从嵌入的不均匀性中散射的场，仅通过对其进行离散化。为了以这种方式应用 MoM，首先，将上述系列表示方法直接应用于从多层背景散射的场的计算。然后，我们建议采用这种方法来快速计算 MoM 网格的每个单元上的背景格林函数的积分。这种适应还涉及格林函数的奇异性。各种数值模拟显示了该方法的效率。