Abstract
The problem of deducing the elastic parameters of an inhomogeneous isotropic medium with spherically symmetric parameters, from the elastic‐wave scattering information, is considered. It is shown that the problem can be reduced to a quantum mechanical inverse scattering problem at fixed energy, if the scattering amplitude as a function of angle for the transverse wave of polarization perpendicular to the scattering plane is known for two different values of frequency. In this case, existing inverse scattering theories at fixed energy enable us to find two functions which are related to the density and shear modulus of the medium. The problem of constructing the elastic parameters from the inversion result is studied and tested for synthetic data. Results of the inversion obtained from the Regge–Newton method and the discrete method are compared for scattering data given at different frequencies.
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