volume | PIER Journals

Abstract

An exact analytic solution is presented to the problem of scattering of a plane wave from a perfect electromagnetic conducting (PEMC) elliptic cylinder, using the method of separation of variables. The formulation is carried out by expanding the incident as well as the scattered electromagnetic fields in terms of appropriate angular and radial Mathieu functions and a set of expansion coefficients. The incident field expansion coefficients are known, but the scattered field expansion coefficients are unknown. Imposing the boundary conditions at the surface of the elliptic cylinder leads to the determination of the unknown expansion coefficients in closed form. Results are presented as normalized scattering widths for elliptic cylinders of different sizes and PEMC admittances, to show the effects of these on scattering.

1. Alexopoulos, N. G., G. A. Tadler, and F. W. Schott, "Scattering from an elliptic cylinder loaded with an active or passive continuously variable surface impedance," IEEE Trans. Antennas Propag., Vol. 22, No. 1, 132-134, 1974.
doi:10.1109/TAP.1974.1140735

2. Alexopoulos, N. and G. Tadler, "Electromagnetic scattering and radiation from an elliptic cylinder loaded by continuous and discontinuous surface impedances," Symp. Digest IEEE AP-S Int. Symp., Vol. 12, 303-307, 1974.

3. Alexopoulos, N., P. L. Uslenghi, and G. Tadler, "Antenna beam scanning by active impedance loading," IEEE Trans. Antenna v, Vol. 22, No. 5, 722-723, 1974.
doi:10.1109/TAP.1974.1140884

4. Alexopoulos, N. G. and G. A. Tadler, "Electromagnetic scattering from an elliptic cylinder loaded by continuous and discontinuous surface impedance," Journal of Appl. Phys., Vol. 46, 1128-1134, 1975.
doi:10.1063/1.322202

5. Alexopoulo, N. G., G. A. Tadler, and P. L. E. Uslenghi, "Scattering from spheroidal composite objects," Journal of Frank. Inst., Vol. 309, No. 3, 147-162, 1980.
doi:10.1016/0016-0032(80)90080-0

6. Andreasen, M. G. and IEEE Trans. Antennas Propag., "Scattering from cylinders with arbitrary surface impedance," IEEE Trans. Antennas Propag., Vol. 53, No. 8, 812-817, 1965.

7. Sebak, A. R. and IEEE Trans. Antennas Propag., "Scattering from dielectric-coated impedance elliptic cylinder," IEEE Trans. Antennas Propag., Vol. 48, No. 10, 1574-1580, 2000.
doi:10.1109/8.899674

8. Lindell, I. V. and A. H. Sihvola, "Perfect electromagnetic conductor," Journal of Electromagnetic Waves and Applications, Vol. 19, No. 7, 861-869, 2005.
doi:10.1163/156939305775468741

9. Sihvola, A., I. V. Lindell, and P. Ylä-Oijala, "Scattering properties of PEMC (Perfect Electromagnetic Conducting) materials," PIERS Proceedings, 120, Hangzhou, China, Aug. 2005.

10. Lindell, I. V. and A. H. Sihvola, "Perfect electromagnetic conductor (PEMC) in electromagnetics," PIERS Proceedings, 119, Hangzhou, China, Aug. 2005.

11. Lindell, I. V. and A. H. Sihvola, "Transformation method for problems involving perfect electromagnetic conductor (PEMC) structures," IEEE Trans. Antennas Propag., Vol. 53, No. 9, 3005-3011, 2005.
doi:10.1109/TAP.2005.854519

12. Ruppin, R., "Scattering of electromagnetic radiation by a perfect electromagnetic conductor cylinder," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 13, 1853-1860, 2006.
doi:10.1163/156939306779292219

13. Naqvi, Q. and S. Ahmed, "Electromagnetic scattering from a perfect electromagnetic conductor circular cylinder coated with a metamaterial having negative permittivity and/or permeability," Optics Comm., Vol. 281, No. 23, 5664-5670, 2008.
doi:10.1016/j.optcom.2008.09.011

14. Sihvola, A., P. Ylä-Oijala, and I. V. LindelL, "Bistatic scattering from a PEMC (perfect electromagnetic conducting) sphere: Surface integral equation approach," Symp. Digest IEEE/ACES Int. Conf. Wireless Comm. Appl. Comp. Electromagnetics, 317-320, Apr. 2005.
doi:10.1109/WCACEM.2005.1469590

15. Ruppin, R., "Scattering of electromagnetic radiation by a perfect electromagnetic conductor sphere," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 12, 1569-1576, 2006.
doi:10.1163/156939306779292390

16. Hamid, A.-K. and F. R. Cooray, "Scattering of electromagnetic waves by a perfect electromagnetic conducting spheroid," IET Proc. Microwaves Antennas Propag., Vol. 2, No. 7, 689-695, 2008.

Prof. Abdul-Kadir Hamid

Dr. Francis Cooray