On relating the perturbation theory and random cylinder generation to study scattered field

Abstract Perturbation theory (PT) is used to calculate the scattered field from a slightly perturbed cylinder for both transverse magnetic (TM) and transverse electric (TE) polarized incidence fields. A relation between the PT and the model for random cylinder (RC) generation is developed which is important for the PT to remain valid during the numerical simulations. The scattered field expressions obtained using the PT are verified using the result obtained by method of moments (MoM). The solution obtained by using the PT is more efficient in terms of simplicity and computational time. The scattering cross section is analyzed by varying the perturbation parameter B and the parameter describing the RC generation N . It is noted that both B and N controls the roughness of the cylinder and hence affect the scattering pattern. The scattered field for TE polarized incident field is more sensitive to the change in B and N than TM case.