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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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