The linear sampling method for cracks

@article{Cakoni2003TheLS,
  title={The linear sampling method for cracks},
  author={Fioralba Cakoni and David Colton},
  journal={Inverse Problems},
  year={2003},
  volume={19},
  pages={279-295}
}
We consider the inverse scattering problem of determining the shape of an infinite cylinder having an open arc as cross section from a knowledge of the TM-polarized scattered electromagnetic field corresponding to time-harmonic incident plane waves propagating from arbitrary directions. We assume that the arc is a (possibly) partially coated perfect conductor and develop the linear sampling method, which was originally developed for solving the inverse scattering problem for obstacles with… 

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