Analysis of Scattering by a Thin Dielectric Cylinder Using the Pattern Equation Method

A technique for approximate calculations of scattering characteristics based on the use of the pattern equation method has been developed. Explicit formulas have been obtained for integral scattering characteristics that can be applied to thin dielectric cylinders of rather arbitrary cross sections. The applicability of the obtained relations has been analyzed by examples of scattering by an elliptical cylinder, by a cylinder whose cross section has the shape of a superellipse, by a polygon, and by a petal curve. The results presented show that the obtained approximate relations are sufficiently accurate in a wide range of problem parameters.