A note on the computation of a Green's function for short wavelength water waves over a plane incline

A recently developed Green's function for two-dimensional water wave problems on a plane beach was given in a form requiring (in part) direct numerical quadrature of a complex valued integral on the Bromwich line ℜs=12,ℑ(s)∈[−∞,∞]. These calculations would fail numerically for waves of sufficiently short wave-length.For special angles of inclination a more robust method is presented here which has no wavelength restrictions.