Subspace-Based Variational Born Iterative Method for Solving Inverse Scattering Problems

摘要

In this letter, a subspace-based variational Born iterative method (S-VBIM) is proposed to solve the inverse scattering problem. The proposed method retrieves the deterministic subspace of the variational induced current at the beginning of the iterative computation, and thus, the process of the total electric field approximation is more accurate than the Born approximation does in VBIM. Therefore, S-VBIM achieves faster convergence speed and higher solution accuracy than VBIM. In addition, since the singular value decomposition, which is the main process of retrieving the variational induced current for radiation operator matrix, only needs to be performed once, the computational cost is reduced significantly. Finally, the numerical results validate the effectiveness of S-VBIM and comparisons with VBIM are made.