EM scattering from rough surface

In this paper, Laplace transform method is used to solve the problem of wave scattering from the rough surface. The rough surface is described by y = ξ(x, z). First, we make Laplace transform to y variable, then do the Fourier transform to x and z variables. In the k space, we can obtain the solution of the problem of wave scattering by simple algebraic operation. Finally, the Laplace inverse transform is performed by complex variable method and Fourier inverse transform by stationary phase method.