采用辅助源法对空间色散超表面波散射的频域分析
Frequency-Domain Analysis of Wave Scattering by Spatially Dispersive Metasurfaces Using the Method of Auxiliary Sources
AI总结：
本研究将扩展广义薄层过渡条件集成到辅助源法，形成无网格仿真框架，分析多种空间色散超表面，结果与已发表数据吻合，验证了方法的准确性与灵活性。
AI中文摘要：
空间色散超表面表现出与角度相关的响应，无法用传统的局域极化率准确建模。扩展的广义薄层过渡条件（GSTCs）已被引入，通过纳入电磁场的空间导数来解释空间色散。本研究将这些扩展GSTCs集成到辅助源法（MAS）中，形成用于分析空间色散超表面的无网格仿真框架。所提出的公式适用于无限平面、有限平面、多边形和圆柱形超表面，且具有通用性，也适用于双各向异性空间色散超表面。为验证，数值示例采用洛伦兹型空间谐振器，与已发表研究一致。扩展GSTCs通过辅助源的适当布置在MAS中实现，给出了平面、多边形、半圆形和圆柱形等多种几何结构的数值结果，所得结果与已发表数据吻合良好，证明了所提方法的准确性和灵活性。
英文摘要：
Spatially dispersive metasurfaces exhibit angle-dependent responses that cannot be accurately modeled using conventional local susceptibilities. Extended Generalized Sheet Transition Conditions (GSTCs) have been introduced to account for spatial dispersion by incorporating spatial derivatives of the electromagnetic fields. In this work, these extended GSTCs are integrated into the Method of Auxiliary Sources (MAS), resulting in a meshless simulation framework for the analysis of spatially dispersive metasurfaces. The proposed formulation is developed for infinite planar, finite planar, polygon shaped, and cylindrical metasurfaces, while it is general and also applicable to bianisotropic spatially dispersive metasurfaces. For validation, the numerical examples consider Lorentz-type spatial resonators, consistent with previously published studies. The extended GSTCs are enforced within the MAS via appropriate placement of auxiliary sources. Numerical results are presented for several geometries, including planar, polygonal, semicircular, and cylindrical metasurfaces. The obtained results show very good agreement with previously published data, demonstrating the accuracy and flexibility of the proposed method.
