Reconstructing discontinuities in multidimensional inverse scattering problems: smooth errors vs small errors.

@article{Beylkin1985ReconstructingDI,
  title={Reconstructing discontinuities in multidimensional inverse scattering problems: smooth errors vs small errors.},
  author={Gregory Beylkin},
  journal={Applied optics},
  year={1985},
  volume={24 23},
  pages={4086}
}
Many practical problems of nondestructive evaluation can be solved provided we can accurately reconstruct discontinuities of the parameters of the physical medium. Seismic exploration, medical applications, and crack and void detection are examples. Our concern is a mathematical formulation of the linearized inverse scattering problem so that we can (1) obtain explicit algorithms and (2) prove that indeed the discontinuities are recovered. The approach we take has two main features. First, all… CONTINUE READING

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