Fourier Bases-Expansion for Three-Dimensional Electromagnetic Inverse Scattering Problems

Three-dimensional Fourier bases-expansion contraction integral equation for inversion (FBE-CIE-I) is developed to solve electromagnetic inverse scattering problems (ISPs). Taking the shape of the scatterer into account, the size of the domain of interest (DoI) and thus the number of low-frequency Fourier bases are flexibly chosen in the proposed method. The accuracy and the stability of the proposed method are verified by the numerical tests on irregularly shaped targets. The results indicate that the accuracy and the convergence of the proposed 3-D FBE-CIE-I is insensitive to the parameters and the noises on the scattered fields.