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Hybridization of electromagnetic numerical methods through the G-matrix algorithm

机译:通过G矩阵算法实现电磁数值方法的混合

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摘要

For the sake of numerical performance, we hybridize two common approaches often used in electromagnetic computations, namely the finite-element method and the aperiodic Fourier modal method. To that end, we propose an extension of the classical S-matrix formalism to numerical situations, which requires handling different mathematical representations of the electromagnetic fields. As shown with a three-dimensional example, the proposed G-matrix formalism is stable and allows for an enhanced performance in terms of numerical accuracy and efficiency.
机译:为了获得数值性能,我们将电磁计算中经常使用的两种常用方法进行了混合,即有限元法和非周期性傅立叶模态法。为此,我们建议将经典的S矩阵形式主义扩展到数值情况,这需要处理电磁场的不同数学表示形式。如三维示例所示,建议的G矩阵形式是稳定的,并且在数值精度和效率方面允许增强的性能。

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