A uniqueness theorem in inverse scattering of elastic waves

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Abstract
The scattering of plane elastic waves in an isotropic inhomogeneous medium is considered. The existence and uniqueness of the direct problem is stated, and a reciprocity principle for the far fields of the scattered waves formulated. Finally, it is proved that the knowledge of the far-field patterns for a bounded sequence of different frequencies and certain sets of incoming plane waves uniquely determines the density of the medium.

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