Features of the reflection of waves with strong discontinuities from thin compressible obstacles

Using the example of the plane contact problem of hydroelasticity theory, the multiple reflection of waves with strong discontinuities, propagating in an ideally elastic liquids, from thin films having a finite acoustic impedance, is investigated analytically. The wave solution is presented in the form of the sum of a basic component (no film) and a perturbed component. An algorithm is developed for the successive analytical calculation of the perturbed components after multiple reflections from an obstruction.