Efficient application of the Discrete Complex Images Method in the analysis of planar guiding structures

M. B. Ben Salah, N. Ghannay, F. Romdhani, A. Samet
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Abstract

Planar guiding structures are analyzed using a Mixed-Potential Integral-Equation formulation (MPIE) solved by the method of moments (MoM). Closed-form two-dimensional Green's functions for the scalar and vector potentials are analytically obtained in the space domain due to the approximation of its spectral-domain version with Discrete Complex Images Method (DCIM), thus avoiding lengthy numerical evaluations. It will be shown that a suitable choice of the sampling path is key to reducing the number of images and to avoiding the necessity of extracting spectral poles. The advantages of this approach will be illustrated by numerical results.
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离散复像法在平面导向结构分析中的有效应用
采用矩量法求解的混合势积分方程(MPIE)对平面导向结构进行分析。由于使用离散复像法(DCIM)近似其谱域版本,因此可以在空间域中解析获得标量势和矢量势的封闭二维格林函数,从而避免了冗长的数值计算。研究表明,选择合适的采样路径是减少图像数量和避免提取光谱极点的关键。数值结果将说明这种方法的优点。
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