Diffraction of elastic waves by a rigid wedge

Abstract

The scattering of time-harmonic elastic waves by a rigid wedge is investigated by means of Sommerfeld transforms which are superpositions of plane longitudinal and transverse waves. The boundary conditions impose relations between the amplitudes of these waves. The singular parts of the equations are solved by using analytic techniques, whereas the regular parts are expanded in polynomials. The final expressions lend themselves easily to asymptotic analysis. The expression for the asymptotic diffracted field is given.