Planar photonics technology is expected to facilitate new physics and enhanced functionality for a new generation of disruptive optical devices. To analyze such planar optical metasurfaces efficiently, we propose a prismatic discontinuous Galerkin time domain (DGTD) method with a generalized dispersive material (GDM) model to conduct the full-wave electromagnetic simulation of planar photonic nanostructures. Prism-based DGTD allows for triangular prismatic space discretization, which is optimal for planar geometries. In order to achieve an accurate universal model for arbitrary dispersive materials, the GDM model is integrated within the prism-based DGTD. As an advantage of prismatic spatial discretization, the prism-based DGTD with GDM has fewer elements than conventional tetrahedral methods, which in turn brings higher computational efficiency. Finally, the accuracy, convergence behavior, and efficiency improvements of the proposed algorithm is validated by several numerical examples. A simulation toolkit with the proposed algorithm has been released online, enabling users to efficiently analyze metasurfaces with customized pixel patterns.

中文翻译：

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具有集成广义色散模型的棱镜不连续伽辽金时域方法，用于高效光学超表面分析

平面光子学技术有望促进新一代颠覆性光学设备的新物理和增强功能。为了有效地分析这种平面光学超表面，我们提出了一种具有广义色散材料（GDM）模型的棱柱不连续伽辽金时域（DGTD）方法来进行平面光子纳米结构的全波电磁模拟。基于棱镜的 DGTD 允许三角棱镜空间离散化，这是平面几何的最佳选择。为了实现任意色散材料的精确通用模型，GDM 模型集成在基于棱镜的 DGTD 中。作为棱柱空间离散化的一个优势，基于棱柱的 DGTD 与 GDM 比传统的四面体方法具有更少的元素，从而带来更高的计算效率。最后，通过几个数值例子验证了所提出算法的准确性、收敛行为和效率改进。具有所提出算法的仿真工具包已在线发布，使用户能够有效地分析具有自定义像素模式的超表面。