On the scattering by a quarter-plane

摘要

This paper presents the spectral formulation of the quarter-plane problem using the Wiener-Hopf (W-H) method. The Wiener-Hopf kernels involve analytical functions of two variables. To overcome the difficulties to get the factorization of these kernels we use the Fredholm factorization in two-dimensional spectral domain. The direct numerical solution of these Fredholm integral equations is very onerous; therefore we suggest another strategy to solve these equations.