Radiation condition for a class of time-harmonic acoustic and elastic wave problems

Abstract

In this work we establish original radiation conditions
able to describe outgoing wave propagation phenomena
in half-spaces, including surface waves propagating towards infinity. We focus our intention in two time harmonic model problems: the direct scattering problem
of acoustic waves in (locally perturbed) half-spaces with
passive boundary, and the direct scattering problem of
elastic waves in (locally perturbed) half-spaces with free
boundary condition.