Green's functions of the inhomogeneous acoustic layer on an elastic half-space

In this paper, we describe a method of constructing functions of a point source of sound waves in inhomogeneous media. The main results obtained for the case of inhomogeneous acoustic layer lying on an inhomogeneous half-space with variable on depth density and speed of sound. Found functional relationships between the characteristics of the sound fields with elastic and spectral characteristics of the inhomogeneous half-space. The study is carried out using the generalized orthogonality relations for the vector of normal waves in stratified envi-ronments. Used the Green formula for the inhomogeneous Helmholtz equation and the formu-las of Betty for the equations of elasticity theory. Keywords: inhomogeneous medium, the ratio of generalized orthogonality, the normal waves, formulas Betty.