Sound propagation in a liquid layer overlying a multi-layered viscoelastic halfspace

The acoustic response due to a point source in a liquid layer overlying a semi-infinite multilayered viscoelastic medium is obtained using a Green\´s function formalism. A matrix recurrence relation, developed from the boundary conditions, is used to relate the scalar wave functions in the last viscoelastic layer to the scalar wave functions in the intermediate layers using ( ) matrix manipulations. The transformed form of the Green\´s function is then obtained by applying appropriate boundary conditions at the top and bottom of the liquid layer. The Green\´s function is then written in integral form convenient for computer evaluation, since the integrand can be computed for many layers using the recurrence relation. Special cases are discussed and compared with known results.