I. Introduction
The main part of microwave imaging algorithm is to solve the problem of inverse electromagnetic scattering when microwave irradiate the medium, and rebuild the medium's internal complex dielectric permittivity image by measuring the data of its external scattering field[1]. Therefore, we can get some interesting information without damaging the scattering object, which has high practical value in non-destructive testing field. Now it's widely used in medical computed tomography, underground targets imaging, microwave remote sensing and so on [2]–[5].