多层介质中TE偏振空间谱域积分方程法的hermite插值离散化和均匀路径变形

Q3 Engineering
Rj Roeland Dilz, M. C. Beurden
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引用次数: 1

摘要

提出了两种替代空间谱积分方程方法。第一增强包括埃尔米特插值作为基函数集合而不是Gabor帧。这些基函数的连续性、可微性、等距间距和小的支持允许高效和准确的数值实现。第二种方法包括在空间域和复平面光谱域中的变形路径之间进行变换的方法。该方法允许更通用的路径形状,从而无需将复杂的平面谱域路径分解为不同的直线部分。这两种增强都是针对TE偏振的情况实现的,并通过有限元方法和严格的耦合波分析验证了结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Hermite-interpolation discretization and a uniform path deformation for the spatial spectral domain integral equation method in multilayered media for TE polarization
Two alternative approaches to the spatial spectral integral equation method are proposed. The first enhancement comprises a Hermite interpolation as the set of basis functions instead of the Gabor frame. The continuity, differentiability, equidistant spacing, and small support of these basis functions allows for an efficient and accurate numerical implementation. The second approach encompasses a method to transform between the spatial domain and the deformed path in the complexplane spectral domain. This method allows for more general path shapes, thereby removing the need to decompose the complex-plane spectral-domain path into distinct straight sections. Both enhancements are implemented for the case of TE polarization, and the results are validated against the finite element method and the rigorous coupled-wave analysis.
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来源期刊
Progress In Electromagnetics Research B
Progress In Electromagnetics Research B Engineering-Electrical and Electronic Engineering
CiteScore
2.70
自引率
0.00%
发文量
14
期刊介绍: Progress In Electromagnetics Research (PIER) B publishes peer-reviewed original, comprehensive and tutorial review articles on all aspects of electromagnetic theory and applications. It is a new journal in 2008, and freely available to all readers via the Internet. Manuscripts submitted to PIER B must not have been submitted simultaneously to other journals. Authors are solely responsible for the factual accuracy of their articles, and all articles are understood to have received clearance(s) for publication.
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