LCP Plane Wave Scattering by a Chiral Elliptic Cylinder Embedded in Infinite Chiral Medium

Authors

  • A.-K. Hamid Department of Electrical Engineering University of Sharjah, Sharjah, UAE

Keywords:

Chiral-chiral material, elliptic cylinder, LCP and RCP, Mathieu functions, scattering cross section

Abstract

An analytic solution is presented to the scattering of a left circularly polarized (LCP) plane wave from a chiral elliptic cylinder placed in another infinite chiral medium, using the method of separation of variables. The incident, scattered, as well as the transmitted electromagnetic fields are expressed using appropriate angular and radial Mathieu functions and expansion coefficients. The unknown scattered and transmitted field expansion coefficients are subsequently determined by imposing proper boundary conditions at the surface of the elliptic cylinder. Numerical results are presented graphically as normalized scattering widths for elliptic cylinders of different sizes and chiral materials, to show the effects of these on the scattering widths.

Downloads

Download data is not yet available.

References

N. Engheta and D. L. Jaggard, “Electromagnetic chirality and its applications,” IEEE Antennas Propagat. Soc. Newsletter, vol. 30, pp. 6-12, Oct. 1988.

D. L. Jaggard, X. Sun, and N. Engheta, “Canonical sources and duality in chiral media,” IEEE Trans. Antennas Propagat., vol. 36, pp. 1007-1013, July 1988.

B. N. Khatir and A. R. Sebak, “Slot antenna on a conducting elliptic cylinder coated by nonconfocal chiral media,” Prog. Electromag. Res. (PIER), vol. 93, pp. 125-143, 2009.

S. Ahmed and Q. A. Naqvi, “Electromagnetic scattering from a chiral coated nihility cylinder,” Progress in Electromag. Res. Lett., vol. 18, pp. 41- 50, 2010.

R. G. Rojas, “Integral equations for EM scattering by homo-geneous/inhomogeneous two-dimensional chiral bodies,” IEEE Proc. Microwave Antennas Propag., vol. 141, pp. 385-392, 1994.

M. A. Al-Kanhal and E. Arvas, “Electromagnetic scattering from a chiral cylinder of arbitrary cross section,” IEEE Trans. Antennas Propag., vol. 44, pp. 1041-1049, July 1996.

A. Semichaevsky, A. Akyurtlu, D. Kern, D. H. Werner, and M. G. Bray, “Novel BI-FDTD approach for the analysis of chiral cylinders and spheres,” IEEE Trans. Antennas Propagat., vol. 54, pp. 925-932, 2006.

S. Shoukat, S. Ahmed, M. Ashraf, A. Syed, and Q. Naqvi, “Scattering of electromagnetic plane wave from a chiral cylinder placed in a chiral metamaterial,” J. Electromag. Waves Applic., vol. 27, pp. 1127-1135, 2013.

B. N. Khatir, M. Al-Kanhal, and A. Sebak, “Electromagnetic wave scattering by elliptic chiral cylinder,” J. Electromag. Waves Applic., vol. 20, pp. 1377-1390, 2006.

A.-K. Hamid, “EM scattering by a lossy dielectriccoated nihility elliptic cylinder,” Appl. Comp. Electromag. Soc. (ACES) Journal, vol. 25, pp. 444- 449, 2010.

A.-K. Hamid, “Scattering by chiral lossy metamaterial elliptic cylinders,” Appl. Comp. Electromag. Soc. Journal, vol. 27, pp. 603-609, 2012.

I. V. Lindell, A. H. Sihvola, S. A. Tretyakov, and A. J. Viitanen, Electromagnetic Waves in Chiral and Bi-isotropic Media. Artech House, Boston, USA, 1994.

A.-K. Hamid and F. R. Cooray, “Scattering from a chirally coated DB elliptic cylinder,” AËU, vol. 68, pp. 1106-1111, 2014.

A.-K. Hamid and F. R. Cooray, “Two-dimensional scattering by a homogeneous gyrotropic-type elliptic cylinder,” Advan. Electromag., vol. 5, pp. 106-112, Dec. 2016.

A.-K. Hamid, “Scattering by a chiral elliptic cylinder placed in another infinite chiral medium,” Appl. Comp. Electromag. Soc. Conf., Florence, Italy, 2017.

Downloads

Published

2021-07-16

How to Cite

[1]
A.-K. Hamid, “LCP Plane Wave Scattering by a Chiral Elliptic Cylinder Embedded in Infinite Chiral Medium”, ACES Journal, vol. 34, no. 01, pp. 180–185, Jul. 2021.

Issue

Section

Articles