Three-dimensional inverse scattering in anisotropic elastic media

The three-dimensional inverse scattering problem is considered for localised scatterers in an anisotropic elastic solid. Isotropic elastic solids are automatically included in the analysis as a special case. The authors obtain three results: (1) a near-field version of the Newton-Marchenko equation for anisotropic elastodynamics, (2) a set of self-consistent equations for the exact spatial reconstruction of the inhomogeneous density function, and (3) a new generalised completeness relation for the elastodynamic Green function corresponding to an inhomogeneous anisotropic media.

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