Abstract: A highly efficient Domain Decomposition Method (DDM) based on the auxiliary excitation source algorithm is presented for solving electrically large electromagnetics scattering problems. The original domain is partitioned into nonoverlapping subdomains to reduce the computational scale and complexity. To ensure the convergence of the algorithm, an auxiliary excitation source is used to exchange information between subdomains. The resulting linear system of equations for the auxiliary excitation source is established and solved with a fast algorithm. Once the auxiliary excitation source is obtained, the field on each subdomain can be computed independently. Compared with the traditional method, the proposed method can not only improve the computation efficiency greatly, but also decrease the memory requirement and the computational errors significantly. Moreover, it is especially appealing for problems with geometric repetitions, such as, gratings, photonic/electromagnetic band gap structures (PBG/EBG), and frequency selective surfaces (FSS).

Key words: domain decomposition method, auxiliary excitation source, electromagnetics scattering