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Application of a point-matching MoM reduced scheme to scattering from finite cylinders

机译:点匹配MoM简化方案在有限圆柱体散射中的应用

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摘要

One of the most common methods for the solution of three-dimensional (3-D) scattering problems is the electric-field volume integral equation numerically solved by the application of the method of moments (MoM)-usually the point-matching version. Although simple to formulate, it shows inherent difficulty and complexity because of the 3-D integrals appearing in the interaction matrix elements and of the singularity of the dyadic Green's function (DGF) present in the computation of the self-cell elements. In this paper, a transformation method is presented, which in the case of the point-matching MoM, both reduces the 3-D integrals to two-dimensional (2-D) ones, and also eliminates the need of separate treatment of the singularity while maintaining the same degree of approximation. Comparison to published results is made for the case of scattering by a finite dielectric cylinder. Further examples are presented for scattering by layered dielectric cylinders and lossy cylindrical shells excited by uniform plane waves.
机译:解决三维(3-D)散射问题的最常用方法之一是通过应用矩量法(MoM)-通常是点匹配形式来数值求解电场体积积分方程。尽管表达简单,但由于交互矩阵元素中出现了3-D积分,并且自单元元素的计算中存在的二进格林函数(DGF)的奇异性,它显示出固有的难度和复杂性。本文提出了一种变换方法,在点匹配MoM的情况下,该方法既将3-D积分减少为二维(2-D)积分,又消除了单独处理奇异点的需要同时保持相同的近似度。与通过有限电介质圆柱体散射的情况进行比较。给出了用于由分层的介质圆柱体和由均匀平面波激发的有损圆柱壳进行散射的其他示例。

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