Analysis of scattering from cylinders with a periodically corrugated periphery using a current-model technique

A novel solution is presented for the problem of two-dimensional electromagnetic scattering from a circular cylinder with periodically corrugated circumference. The application of the Floquet formalism is effected by representing the incident field as a sum of fields, each one obeying a Floquet periodicity condition involving a different phase factor. Respective sets of fictitious sources, comprising rotationally periodic and properly phase-modulated electric current distributions, are used to simulate the scattered field and the field in the cylinder region. Spectral and spatial formulations are presented. The solution procedure is simple to implement and is applicable to cylinders with corrugations of arbitrary profile. The accuracy of the method has been demonstrated. It has also been shown that in the limiting case of low corrugation the results of the numerical solution agree with results obtained by an approximate analytic solution