paper 150203232952

Abstract

In this paper, we present a perturbative second order closed form solution for the fields scattered from a stochastically rough, infinitely long dielectric cylinder. The electromagnetic boundary conditions at the surface of rough cylinder are perturbed to derive 0th, 1st and 2nd order boundary conditions that can be used to evaluate the scattered fields to the second order in the surface roughness. To validate our perturbative method, we compare it with a method of moments solution of the same problem - which, despite being valid for any arbitrary surface roughness, is computationally more expensive as compared to our analytical method. A region of validity is also estimated numerically, within which the perturbative solution accurately predicts the fields scattered from the rough cylinder. We report this region approximately as h0 < λ/25 and l > 5.84h0 for an exponentially correlated rough cylinder, where h0 is the root mean square roughness, l is the correlation length and λ is the free space wavelength.

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Uday K. Khankhoje

Rahul Trivedi