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Abstract
In this article, the fast dipole method (FDM) is combined with the adaptive modified characteristic basis function method (AMCBFM) to solve the electromagnetic scattering from perfect electric conducting (PEC) targets. The AMCBFM is an efficient method for analyzing electromagnetic problems via the size reduction of the original matrix in the method of moments (MoM) equation. However, in AMCBFM, the characteristic basis functions (CBFs) generations process and reduced matrix calculation process are still very time-consuming for containing many matrix-vector products (MVPs) and vector-matrix-vector products (VMVPs). Through a simple Taylor's series expansion, the FDM reduces the complexity of MVPs and VMVPs between the far block pair, such as block i and block j, from O(NiNj ) to O(Ni + Nj ), where Ni and Nj are the number of the low-level basis functions in blocks i and j, respectively. In addition, the equivalent dipole-moment method (EDM) is used to speed up the low-level impedance elements filling process between the near block pair, thus further accelerating the computation. Numerical results are given to demonstrate the efficiency and accuracy of the FDM-AMCBFM.