A uniformly valid far field asymptotic expansion of the green function for two-dimensional propagation above a homogeneous impedance plane

Chandler-Wilde, S.N. ORCID: https://orcid.org/0000-0003-0578-1283 and Hothersall, D.C. (1995) A uniformly valid far field asymptotic expansion of the green function for two-dimensional propagation above a homogeneous impedance plane. Journal of Sound and Vibration, 182 (5). pp. 665-675. ISSN 0022-460X doi: 10.1006/jsvi.1995.0225

Abstract/Summary

A generalized asymptotic expansion in the far field for the problem of cylindrical wave reflection at a homogeneous impedance plane is derived. The expansion is shown to be uniformly valid over all angles of incidence and values of surface impedance, including the limiting cases of zero and infinite impedance. The technique used is a rigorous application of the modified steepest descent method of Ot