Linearized 3-D D Electromagnetic Contrast Source Inversion and Its Applications to Half-Space Configurations
Abstract: One of the main computational drawbacks in the application of 3-D 3 iterative inversion techniques is the requirement of solving the field quantities for the updated contrast in every iteration. In this paper, the 33-D D electromagnetic inverse scattering problem em is put into a discretized finite finite-difference difference frequency-domain frequency scheme and linearized into a cascade of two linear functionals. To deal with the nonuniqueness effectively, the joint structure of the contrast sources is exploited using a sum-of- â„“1 -norm norm op optimization scheme. A cross-validation validation technique is used to check whether the optimization process is accurate enough. The total fields are, then, calculated and used to reconstruct the contrast by minimizing a cost functional defined as the sum of the data error and the state error. In this procedure, the total fields in the inversion domain are computed only once, while the quality and the accuracy of the obtained reconstructions are maintained. The novel method is applied to ground ground-penetrating radar imaging ng and through-thethrough wall imaging, in which the validity and the efficiency of the method are demonstrated.