基于互连区域边界元法（BEM）的超表面散射场解
Scattering Field Solutions of Metasurfaces based on the Boundary Element Method (BEM) for Interconnected Regions
摘要：
提出了一种用于确定具有公共元表面边界的互连区域的散射电磁场的方法。该方法使用麦克斯韦方程的频域版本的边界元法（BEM）公式-它表示由于边界上的表面电流而在区域中存在的场。超颖表面边界表示的表面磁化率时，与广义片过渡条件（GSTC）集成，产生了一个等效的配置方面的电流和磁流。这样的表示，然后自然地纳入BEM方法。给出了高斯光束电磁散射的两个例子来说明所提出的方法。在第一个例子中，超颖表面激发发散高斯光束，并使用半解析方法验证散射场。第二个例子涉及一个非均匀的超颖表面建模的衍射光栅，其结果证实了与传统的频域有限差分（FDFD）方法。
英文摘要：
A methodology for determining the scattered Electromagnetic (EM) fields present for interconnected regions with common metasurface boundaries is presented. The method uses a Boundary Element Method (BEM) formulation of the frequency domain version of Maxwell's equations - which expresses the fields present in a region due to surface currents on the boundaries. Metasurface boundaries are represented in terms of surface susceptibilities which when integrated with the Generalized Sheet Transition Conditions (GSTCs), gave rise to an equivalent configuration in terms of electric and magnetic currents. Such a representation is then naturally incorporated into the BEM methodology. Two examples are presented for EM scattering of a Gaussian beam to illustrate the proposed method. In the first example, metasurface is excited with a diverging Gaussian beam, and the scattered fields are validated using a semi-analytical method. Second example concerned with a non-uniform metasurface modeling a diffraction grating, whose results were confirmed with conventional Finite Difference Frequency Domain (FDFD) method.
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