Travel Time Tomography

@article{Stefanov2001TravelTT,
  title={Travel Time Tomography},
  author={Plamen Stefanov and Gunther Uhlmann and Andr{\'a}s Vasy and Hanming Zhou},
  journal={Acta Mathematica Sinica, English Series},
  year={2001},
  volume={35},
  pages={1085-1114}
}
We survey some results on travel time tomography. The question is whether we can determine the anisotropic index of refraction of a medium by measuring the travel times of waves going through the medium. This can be recast as geometry problems, the boundary rigidity problem and the lens rigidity problem. The boundary rigidity problem is whether we can determine a Riemannian metric of a compact Riemannian manifold with boundary by measuring the distance function between boundary points. The lens… CONTINUE READING
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