An Efficient Domain Decomposition Laguerre-FDTD Method for Two-Dimensional Scattering Problems

In this paper, an efficient domain decomposition technique is introduced into the unconditionally stable finite-difference time-domain (FDTD) method based on weighted Laguerre polynomials to solve two-dimensional (2-D) electromagnetic scattering problems. The whole computational space is decomposed into multiple subdomains where there is no direct field coupling between any two different subdomains. For the large sparse matrix equation generated by the implicit scheme, the domain decomposition technique transforms this large scale equation into some independent smaller equations. With the total-field/scattered-field boundary and Mur's second-order absorbing boundary condition, the radar cross sections of two 2-D structures are calculated. The numerical examples verify the accuracy and efficiency of the proposed method.