This paper proposes an efficient FDTD technique for determining electromagnetic fields interacting with a finite-sized 2D and 3D periodic structures. The technique combines periodic boundary conditions---modelling fields away from the edges of the structure---with independent simulations of fields near the edges of the structure. It is shown that this algorithm efficiently determines the size of a periodic structure necessary for fields to converge to the infinitely-periodic case. Numerical validations of the technique illustrate the savings concomitant with the algorithm.

中文翻译：

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基于 FDTD 的有限周期结构建模的便捷方法

本文提出了一种有效的 FDTD 技术，用于确定与有限尺寸 2D 和 3D 周期性结构相互作用的电磁场。该技术将周期性边界条件——远离结构边缘的场建模——与靠近结构边缘的场的独立模拟相结合。结果表明，该算法有效地确定了场收敛到无限周期情况所需的周期结构的大小。该技术的数值验证说明了伴随该算法的节省。