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首页> 外文期刊>Applied Computational Electromagnetics Society journal >Domain Decomposition Scheme in Newmark-Beta-FDTD for Dispersive Grating Calculation
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Domain Decomposition Scheme in Newmark-Beta-FDTD for Dispersive Grating Calculation

机译：Newmark-Beta-FDTD中用于色散光栅计算的域分解方案

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摘要

In this work, an efficient domain decomposition scheme is introduced into the unconditionally stable finite-difference time-domain (FDTD) method based on the Newmark-Beta algorithm. The entire computational domain is decomposed into several subdomains, and thus the large sparse matrix equation produced by the implicit FDTD method can be divided into some independent small ones, resulting in a fast speed lower-upper decomposition and backward substitution. The domain decomposition scheme with different subdomain schemes and different subdomain numbers is studied. With a generalized auxiliary differential equation (ADE) technique, the extraordinary optical transmission through a periodic metallic grating with bumps and cuts is investigated with the domain decomposition Newmark-Beta-FDTD. Compared with the traditional ADE-FDTD method and the ADE-Newmark-Beta-FDTD method, the results from the proposed method show its accuracy and efficiency.
机译：在这项工作中，一种有效的域分解方案被引入到基于Newmark-Beta算法的无条件稳定有限差分时域（FDTD）方法中。整个计算域被分解为几个子域，因此，隐式FDTD方法生成的大型稀疏矩阵方程可分为一些独立的小方程，从而实现了快速的上下分解和后向替换。研究了具有不同子域方案和不同子域编号的域分解方案。利用广义辅助微分方程（ADE）技术，通过域分解Newmark-Beta-FDTD研究了具有凹凸的周期性金属光栅的非凡光学传输。与传统的ADE-FDTD方法和ADE-Newmark-Beta-FDTD方法相比，该方法的结果表明了其准确性和有效性。

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