Diffraction by surfaces of variable curvature

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 curvature
R
, a first-order correction term yields an amplitude factor
R^{1/6}
while the second-order correction term results in a change in damping depending on the curvature and its first and second derivatives.