Scattering of an E-polarized plane wave by elongated cylinder of arbitrary cross-section

The rigorous solution for the scattering of an electromagnetic E-polarized plane wave by an infinite solid cylinder of arbitrary cross-section is used to estimate the scattering by a finite elongated cylinder. The rigorous solution for an infinite cylinder is obtained by the method of regularization. This provides a stable and fast converging algorithm, which guarantees the computation of the scattered electromagnetic field with any desired accuracy. The computational algorithm is uniformly valid for studies of electromagnetic scattering in a wide frequency range, when the maximum size of the cylinder cross-section may vary from a fraction of a wavelength to a few hundred wavelengths. The rigorous solution has been implemented for the analysis of scattering by finite elongated cylinders, using well-known approximation techniques. The scattering by cylinders with a super-ellipse cross-section is investigated for a variety of practical cross-sections described by the generalized super-ellipse parametric equation.