Surface motion of topographical irregularities for incidentP, SV,and Rayleigh waves

Abstract Trefftz's method is applied to solve the diffraction of P, SV, and Rayleigh waves by surface irregularities in an elastic, isotropic and homogeneous half-space. The diffracted wave fields are constructed with linear combinations of solutions which form c-complete or T-complete (T after Trefftz) families for the wave equation. Boundary conditions are satisfied in the least-squares sense on the irregularity and on a finite interval of the half-space surface. Excellent agreement was found with the solution by Wong (1982).