Iterative solutions for the limited angle inverse scattering problems

Abstract

One major character of the limited angle inverse scattering problems is the sparsity of the information contained in the measurement data. The sparsity of information content in the limited angle inverse scattering problems makes it difficult to reconstruct the object functions by using the conventional inversion techniques. To overcome the above difficulty, a boosting procedure is employed to obtain the maximum amount of information for an arbitrary predefined experiment set-up. The numerical simulations are performed in order to ascertain the role of the boosting procedure in the limited angle inverse scattering problems. The results of the computer simulations for two-side view tomography demonstrate that by applying the boosting procedure, the quality of the reconstruction and the speed of the convergence are improved significantly. Furthermore, for subsurface detection where both the sources and sensors are confined on one side of the object, the reconstruction has become possible after applying the boosting procedure.