Direct solution of electromagnetic scattering from perfect electric conducting targets by combing characteristic basis function method and hybrid ACA-FDM method
Affiliations: [a] College of Mechanical and Electrical Engineering, Huainan Normal University, Huainan, Anhui, China | [b] College of Electrical and Information Engineering, Anhui University of Science and Technology, Huainan, Anhui, China
Correspondence:
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Corresponding author: Zhonggen Wang, College of Electrical and Information Engineering, Anhui University of Science and Technology, Huainan 232001, Anhui, China. Tel.: +86 13966483355; E-mail:zgwang@ahu.edu.cn
Abstract: The hybrid adaptive cross approximation (ACA) algorithm
with fast dipole method (FDM) (ACA-FDM) combines characteristic basis
function method (CBFM) to solve the electromagnetic scattering from perfect
electric conducting targets is presented in this paper. In the conventional
FDM-CBFM, the FDM is employed to reduce the complexity of matrix-vector
products (MVPs) and vector-matrix-vector products (VMVPs) between the
far-group pairs, but the calculation of submatrices related to the
interactions of the near-group pairs is increased when the criterion for the
far-group pairs becomes stricter in order to obtain relatively high accurate
solutions. To mitigate this problem, the ACA algorithm is employed to deal
with the near-group pairs. Compared with the conventional FDM-CBFM, the
submatrices related to the interactions of the near-group pairs are
efficiently compressed by the ACA, so it can efficiently calculate the MVPs
and VMVPs between the near-group pairs. Numerical results are given to
demonstrate the efficiency and accuracy of the ACA-FDM-CBFM.
Keywords: Characteristic basis function method (CBFM), adaptive cross approximation (ACA), fast dipole method (FDM), electromagnetic scattering
