The Wedge-Type Problem: The Building Brick in High-Frequency Scattering from Complex Objects

This paper presents the problem of high-frequency scattering in a ray-tracing context. It focuses on the wedge problem as the most relevant contribution to the diffracted field from complex objects. The wedge problem´s solution is then treated either analytically or numerically. It is treated analytically by resorting to the Malyuzhinets spectral technique and a subsequent approximate solution. It is treated numerically by deriving a parabolic equation from the original elliptic problem, which can then be easily and efficiently solved numerically via finite differences.