Transient Simulation of Multiscale Structures Using the Nonconformal Domain Decomposition Laguerre-FDTD Method
Transient Simulation of Multiscale Structures Using the Nonconformal Domain Decomposition Laguerre-FDTD Method
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DOI：
10.1109/tcpmt.2015.2411744
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发表时间：
2015-03
期刊：
影响因子：
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通讯作者：
M. Yi;Z. Qian;A. Aydiner;M. Swaminathan
中科院分区：
文献类型：
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作者：
M. Yi;Z. Qian;A. Aydiner;M. Swaminathan
本文提出了一种求解多尺度电磁问题的全波瞬变区域分解方法。该方案基于无条件稳定的拉盖尔有限差分(Laguerre-FDTD)方法。整个计算域被划分为若干个子域，根据每个子域的物理大小进行独立的网格划分。采用标准拉盖尔-FDTD方法建立各子域的内场方程，利用有限元方法和FDTD方法的等价性建立界面场方程。此外，通过在域界面处使用两组拉格朗日乘子来加强场的连续性。实现了Schur补码来提取界面问题，并且每个领域都可以独立评估。对多尺度结构的数值计算结果表明了该方法的有效性、准确性和有效性。
In this paper, a full-wave transient domain decomposition method is proposed for solving multiscale electromagnetic problems. The proposed scheme is based on the unconditionally stable Laguerre finite-difference time-domain (Laguerre-FDTD) method. The entire computational domain is partitioned into several subdomains with independent meshing according to the physical sizes of each subdomain. Standard Laguerre-FDTD method is used to form the interior field equations of each subdomain, whereas interface field equations are formed by applying the equivalency between finite-element method and FDTD method. In addition, field continuity is enforced through the use of two sets of Lagrange multipliers at the domain interface. Schur complement is implemented for extracting the interface problem and each domain can be evaluated independently. Numerical results for multiscale structures are presented to demonstrate the capability, accuracy, and efficiency of the proposed method.