A Modified Major Current Coefficients Method for Inverse Scattering Problems Using Multiple-Frequency Data

Abstract

In this letter, a modified major current coefficients method (M-MCC), which combines the major current coefficients method (MCC), the hierarchical scheme, generalized Tikhonov regularization, and frequency rejection mechanism is proposed to solve inverse scattering problems using multiple-frequency data. The M-MCC utilizes the reconstruction results obtained at lower frequencies as prior information to improve the higher frequency result. The hierarchical scheme utilizes the reconstruction results of the lower frequency to refine the area of objects by using a threshold to judge if the area includes the objects. The inversion at higher frequencies will only be done for the refined area instead of the domain of interests. The generalized Tikhonov regularization is used at higher frequencies, which makes use of the reconstruction results at lower frequencies. In addition, the frequency rejection mechanism also utilizes the result of the lower frequency to exclude the frequencies that have invalid data. The proposed method outperforms the MCC method, which is verified through simulations.