Electromagnetic scattering by a circular cylinder buried below a slightly rough Gaussian surface

J Opt Soc Am A Opt Image Sci Vis. 2014 Jan 1;31(1):26-34. doi: 10.1364/JOSAA.31.000026.


A two-dimensional beam is scattered by a cylinder buried below a slightly rough surface. The cylindrical wave approach is applied, i.e., cylindrical waves are employed as basis functions of the fields scattered by the cylinder. Moreover, a spectral representation of both the incident field and the cylindrical waves is used. Rough surface deviation is coped with by the first-order small perturbation method. Therefore, to a zeroth-order solution relevant to scattering in the case of a flat surface, a first-order approximation is superimposed. The theoretical approach has been implemented for a periodic surface with Gaussian roughness spectrum.