Fast evaluation of the field of stabilized elastic vibrations from a point source in a stratified medium (Q1096447)

A method of fast computation of the field of displacements of stabilized vibrations in an elastic stratified medium is suggested, which is based on an integral transformation of the components of the displacement vector and an evaluation of the impedance tensor. The inverse transform is computed by fast integration of spectral characteristics of the fields based on defining the poles of integrand functions and variation of the contour of integration in the complex plane. The properties of spectral characteristics of the field are analyzed and a method of finding their complex poles is suggested.