The inverse scattering problem for a rigid ellipsoid in linear elasticity

Abstract

The inverse scattering problem for the rigid ellipsoid in linear elasticity is examined. It has been proved that six measurements of the first-order imaginary coefficient of the radial scattering amplitude in the low-frequency region are necessary in order to evaluate the semi-axes of the ellipsoid and to fix the position of the principal axes of the ellipsoid. Numerical results and degenerate cases of the ellipsoidal geometry are also presented.