Iterative series for calculating the scattering of waves from a hard corrugated surface

Abstract

We present an iterative series expansion in closed form that satisfies all the analytical equations proposed for solving the scattering of waves from a hard corrugated surface. The series converges to the good solution up to $h\ensuremath{\lesssim}0.20$ when the corrugation of the surface is $D(x)=2\ensuremath{\pi}hcos2\ensuremath{\pi}x$.