Solution of the nonlinear inverse scattering problem by T-matrix completion. I. Theory.

@article{Levinson2016SolutionOT,
  title={Solution of the nonlinear inverse scattering problem by T-matrix completion. I. Theory.},
  author={Howard W. Levinson and Vadim A. Markel},
  journal={Physical review. E},
  year={2016},
  volume={94 4-1},
  pages={
          043317
        }
}
We propose a conceptually different method for solving nonlinear inverse scattering problems (ISPs) such as are commonly encountered in tomographic ultrasound imaging, seismology, and other applications. The method is inspired by the theory of nonlocality of physical interactions and utilizes the relevant formalism. We formulate the ISP as a problem whose… CONTINUE READING