Fast computation of electromagnetic scattering based on optimized solution of matrix equations

In this paper, the characteristic basis function method (CBFM) is applied to instead of conventional MOM for MLFMA implementations. CBFM includes the mutual coupling effects among different subdomains directly by constructing the high level basis functions, use of these basis functions leads to a significant reduction in the number of unknowns, and results in a substantial size reduction of the coupling matrix; This reduces matrix size improves the convergence properties. The MLFMA is introduced to speed up the matrix-vector multiplications. The advantages of applying the CBFM with MLFMA are illustrated with numerical simulation. The results demonstrate the efficiency and accuracy of the proposed method.