基于矢量波函数展开的球面元表面快速分析
Fast analysis of spherical metasurfaces using vector wave function expansion
摘要：
提出了一种基于广义片层过渡条件和矢量波函数展开的球面元表面建模方法。在球面VWF和未知系数方面扩展的内部和外部的超颖表面的字段。GSTC用于获得未知系数之间的线性关系。一个超定系统的方程，然后解决了点匹配。该方法是准解析的，因此不需要在传统的计算电磁方法中遇到的网格划分。这导致该方法非常快，因此对元表面优化有用。通过两个算例验证了该方法的有效性。这里提出的公式可以很容易地扩展到多层球形超颖表面。
英文摘要：
Modeling of spherical metasurfaces using Generalized Sheet Transition Conditions (GSTCs) and Vector Wave Function (VWF) expansion is presented. The fields internal and external to the metasurface is expanded in terms of spherical VWFs and unknown coefficients. GSTCs are used to obtain linear relationships between the unknown coefficients. An overdetermined system of equations are then solved by point matching. The method is quasi-analytical and hence there is no need for meshing which is encountered in conventional computational electromagnetic methods. This results in the method being extremely fast and hence useful for metasurface optimization. The method is validated by two examples. The formulations presented here can be easily extended to multilayered spherical metasurfaces.
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