Communications in Mathematical Physics

, Volume 199, Issue 2, pp 471–491 | Cite as

Inverse Scattering Problem in Anisotropic Media

  • Gregory Eskin

Abstract:

A new family of scattering invariants is constructed that differs from the scattering invariants obtained by the geometric optics approximations. A local uniqueness (modulo a diffeomorphism) of the metric with a given hodograph function is proven under some restrictions on the curvature of the metric.

Keywords

Anisotropic Medium Geometric Optic Local Uniqueness Inverse Scattering Scattering Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Gregory Eskin
    • 1
  1. 1.Department of Mathematics, UCLA, Los Angeles, CA 90095-1555, USA. E-mail: eskin@math.ucla.eduUS

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