Abstract
We consider the scattering of time‐harmonic elastic waves in an isotropic medium which is characterized by constant Lamé coefficients and an inhomogeneous mass density. We prove that a knowledge of the far‐field pattern for all incident plane waves and a single frequency provides sufficient information to determine the mass density uniquely. To this end we construct a periodic Faddeev‐type fundamental solution for the Navier equation and derive the existence of complex geometrical optics solutions to the Navier equation.
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