Diffraction of long waves by a step

Abstract

The problem of diffraction of long water waves by a step is considered. First a functional equation in the Fourier transform domain is derived, which is of the generalised form, and its solution is expressed in terms of constants satisfying an infinite set of linear algebraic equations. Next, the final solution for the far field is obtained asymptotically; this solution also concerns the corresponding problems in acoustics and electromagnetism.