Multiparametric Electromagnetic Inversion of 3-D Anisotropic Objects Embedded in Layered Media Based on Mixed L1-L2 Norm Regularization

In this letter, the mixed L-1-L-2 norm regularization is adopted to constrain the full-wave inversion solution of the multiparametric electromagnetic inverse scattering by the 3-D anisotropic objects. The mixed L-1-L-2 regularization term is added to the standard L-2 norm cost function in the framework of the Born iterative method. In each iteration, the mixed L-1-L-2 norm term is transformed into L-2 norm term through a weight matrix and the whole cost function is minimized by the conjugate gradient method. Numerical results show that, compared with the traditional Tikhonov L-2 regularization, the mixed L-1-L-2 regularization can achieve higher reconstruction accuracy without additional computational cost due to the structural similarity constraint among different model parameters.