Electromagnetic scattering by rough conduction circular cylinders. I. Angular corrugation

The coherent and incoherent responses of perfectly conducting, angularly corrugated surfaces (which are infinite circular cylinders on the average) are calculated using a second-order perturbation method. The general approach used is to apply the extinction theorem to write an integral equation for the surface current density, and then to use perturbation theory to solve it. These results are recast by using the only nontrivial Pade approximant for this approximation. This recasting yield a considerable qualitative improvement which, at least in one special case, is shown to be quantitative as well