Modelling of inhomogeneous coating of an elastic sphere with demanded sound-reflecting properties

The return problem of laws determining of the covering inhomogeneity of the elastic sphere characterized by minimum reflection of a plane sound wave in a preset angular sector and frequency range is considered. Based on an analytic solution to the direct problem, a functional expressing the reflection intensity is constructed and an algorithm for its minimization is proposed. Analytic expressions describing mechanical parameters of the inhomogeneous coating are obtained.