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Inverse Scattering Problem in Anisotropic Media

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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.

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Authors and Affiliations

  1. Department of Mathematics, UCLA, Los Angeles, CA 90095-1555, USA. E-mail: eskin@math.ucla.edu, , , , , , US

    Gregory Eskin

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  1. Gregory Eskin
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Received: 9 January 1998 / Accepted: 19 May 1998

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Eskin, G. Inverse Scattering Problem in Anisotropic Media. Comm Math Phys 199, 471–491 (1998). https://doi.org/10.1007/s002200050509

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  • DOI: https://doi.org/10.1007/s002200050509

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