An extended direct factorization method for inverse scattering with limited aperture data

Abstract

ABSTRACTIn this paper, we propose an extended direct factorization method for solving inverse scattering problems with limited aperture data. It assembles and generalizes two recently developed methods: the extended sampling method and the direct factorization method. With some suitable modification of the direct factorization method, the case with limited aperture data can be effectively handled within the framework of extended sampling method. To further improve the robustness of the original extended sampling method, a novel heuristic iterative algorithm is developed for more accurately estimating the radius of the reconstructed fitting ball which approximately fits the location and size of the unknown scatterer. Moreover, as a major advantage of the direct factorization method, the proposed method does not require any explicit regularization and the knowledge of the noise level in the far-field data. Numerical examples are presented to illustrate the promising efficiency of our proposed method.