Diffraction by surfaces of variable curvature

Abstract
To investigate the influence of variable curvature on the damping of diffracted waves (creeping waves) the integral equation method has been applied to an arbitrary convex cylinder. In addition to the well-known damping factor, depending on the radius of curvatureR, a first-order correction term yields an amplitude factorR^{1/6}while the second-order correction term results in a change in damping depending on the curvature and its first and second derivatives.