Application of A GMMV-based Multi-frequency Inversion Method to 3-D Half-space Inverse Scattering Problems

As is well known, the inverse scattering theory is confronted with severe ill-posedness and huge computational burden when applied to 3-D half-space cases. In this paper, a GMMV-based multi-frequency inversion method is applied to solve 3-D half-space inverse scattering problems by exploiting the joint sparsity of the contrast sources with a multi-source multi-frequency measurement configuration. The computational complexity is acceptable, for the direct scattering problem is solved for just one time. Numerical simulation results demonstrate that this method is able to recover the location, shape and posture of 3-D targets with several frequency components, which is a promising attempt to extend the inversion theory to 3-D half-space inverse scattering problems.