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

Authors

  • S. S. Vinogradov CSIRO ICT Centre, Australia
  • Carol Wilson CSIRO ICT Centre, Australia

DOI:

https://doi.org/10.1109/ICATT.2007.4425127

Keywords:

method of regularization, scattering, elongated cylinder, far-field, superquadric cylinder

Abstract

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.

References

YE, ZHEN. A novel approach to sound scattering by cylinders of finite lens. J. Acoust Soc. Am., 1997, v.102, p.877-884, doi: http://dx.doi.org/10.1121/1.419910.

KALBASI, K.; DEMAREST, K.R. A multilevel formulation of the method of moments. IEEE Trans. Antennas Propag., May 1993, v.41, n.5, p.589-599, doi: http://dx.doi.org/10.1109/8.222278.

YASUURA, K.; OKUNO, Y. Numerical method for calculating surface current density on a two-dimensional scatterer with smooth contour. IEEE Trans. Antennas Propag., 1985, v.33, n.12, p.1369-1378, doi: http://dx.doi.org/10.1109/TAP.1985.1143527.

TUCHKIN, Y.A. A new method in wave diffraction theory by thin screens. Electromagnetics, 1993, v.13, n.3, p.319-338, doi: http://dx.doi.org/10.1080/02726349308908353.

VINOGRADOV, S.; ET AL. Canonical Problems in Scattering and Potential Theory. Part.2: Acoustic and Electromagnetic Diffraction by Canonical Structures. Chapman & Hall/CRC, 2002.

GIELIS, J. A generic geometric transformation that unites a wide range of natural and abstract shapes. Am. J. Bot., 2003, v.90, n.3, p.333-338, doi: http://dx.doi.org/10.3732/ajb.90.3.333.

WANG, Ru T.; VAN DE HULST, H.C. Application of the exact solution for scattering by an infinite cylinder to the estimation of scattering by a finite cylinder. Applied Optics, 1995, v.34, n.15, p.2811-2821, doi: http://dx.doi.org/10.1364/AO.34.002811.

Published

2007-09-22