To the problem of scattering amplitude evaluation on radially-symmetric elastic inserts in perfect fluid

The problem of calculation of a leakage field on the homogeneous, radially-layered and continuously radially-non-uniform elastic ball is discussed. In each case the vector equation of elastic oscillations is solved by means of reducing the last to the independent scalar equations for scalar potentials. Due to insignificant practical suitability of such approach in case of the continuous radial heterogeneity of a ball it is offered to use its approximation by radial piecewise constant heterogeneity that will allow to solve rather simply the problem for the general character of radial heterogeneity of ball elastic parameters.