Fast analysis of electromagnetic scattering from conducting targets using multilevel characteristic basis function method and recompressed adaptive cross approximation algorithm

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The recompressed adaptive cross approximation algorithm (RACA) in conjunction with multilevel characteristic basis function method (MLCBFM) is proposed to solve electromagnetic scattering problems efficiently. The MLCBFM defines a set of higher order characteristic basis functions on each block through the mutual coupling effects of different blocks to obtain high accuracy. Furthermore, the impedance matrices of far field are compressed by RACA algorithm at all levels, which can accelerate the calculation of the reduced matrix and generation of the secondary characteristic basis function (SCBF). Numerical results are given to demonstrate the accuracy and high efficiency of the proposed method.