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Inverse Scattering in Anisotropic Media

  • Gunther Uhlmann

Abstract

We consider the inverse problem of determining a Riemannian metric in R n which is euclidean outside a ball from scattering information. This is a basic inverse scattering problem in anisotropic media. By looking at the wave front set of the scattering operator we are led to consider the “classical” problem of determining a Riemannian metric by measuring the travel times of geodesics passing through the domain. We survey some recent developments on this problem.

Keywords

Inverse Problem Riemannian Manifold Anisotropic Medium Energy Inequality Integral Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag/Wien 2000

Authors and Affiliations

  • Gunther Uhlmann
    • 1
  1. 1.Department of MathematicsUniversity of WashingtonSeattleUSA

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