周期性介电结构散射的谱域积分方程中的伪谱纵向展开

2015 International Conference on Electromagnetics in Advanced Applications (ICEAA) Pub Date : 2015-10-15 DOI:10.1109/ICEAA.2015.7297353

M. V. van Beurden, T. Zacharopoulou, A. Roc’h, Mark G. M. M. van Kraaij

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引用次数: 3

摘要

我们探索了在周期性介电结构散射的谱域积分方程中引入沿纵向伪谱展开的几种方法。为此，我们首先将积分方程简化为一维介质板的公式，并考虑了几种格式的计算效率、收敛性和条件。在区域积分方程中实现了一种方案，该方案在纵向上对展开函数的个数表现出指数收敛性。

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A pseudo-spectral longitudinal expansion in a spectral domain integral equation for scattering by periodic dielectric structures

We explore several options to introduce a pseudo-spectral expansion along the longitudinal direction in a spectral-domain integral equation for scattering by periodic dielectric structures. To this end we first simplify the integral equation to the formulation for a one-dimensional dielectric slab and consider the computational efficiency, convergence, and conditioning of several schemes. One scheme has been implemented in the domain integral equation and it exhibits exponential convergence with respect to the number of expansion functions in the longitudinal direction.

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2015 International Conference on Electromagnetics in Advanced Applications (ICEAA)

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