A vectorial discontinuous Galerkin time-domain method incorporating generalized sheet transition conditions (DGTD-GSTC) is proposed for the simulation of curve metasurfaces. This scheme utilizes virtual fields to realize the discontinuity across the metasurface described by GSTCs, which is beyond the ability of conventional boundary conditions. Compared to the previous research on modeling approaches for metasurfaces based on GSTCs, this scheme is particularly suited for solving practical metasurface problems due to its ability for complex geometry modeling and broadband analysis. This scheme is also shown to provide a fundamental generalization of the conventional DGTD technique. Five 2-D representative examples are presented to validate the effectiveness of this newly proposed method.

中文翻译：

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一种包含广义片状过渡条件的矢量不连续 Galerkin 时域方法

提出了一种结合广义薄片过渡条件（DGTD-GSTC）的矢量不连续Galerkin时域方法来模拟曲线超曲面。该方案利用虚拟场来实现 GSTC 描述的超表面的不连续性，这超出了传统边界条件的能力。与以往基于 GSTCs 的超曲面建模方法的研究相比，该方案因其复杂的几何建模和宽带分析能力而特别适合解决实际的超曲面问题。该方案也被证明提供了传统 DGTD 技术的基本概括。提出了五个二维代表性示例来验证这种新提出的方法的有效性。