Transient Simulation of Multiscale Structures Using the Nonconformal Domain Decomposition Laguerre-FDTD Method

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.