Scattering from an Arbitrarily Incident Plane Wave by a PEMC Elliptic Cylinder Confocally Coated with a Chiral Material
Keywords:
Bistatic, chiral, elliptic cylinder, Mathieu functions, PEMCAbstract
An analytic solution to the problem of scattering of a plane electromagnetic wave by a chirally coated elliptic cylinder defined by PECM boundary condition has been obtained by expanding the different electromagnetic fields in terms of appropriate elliptic wave functions and a set of expansion coefficients. The expansion coefficients associated with the transmitted field inside the coating as well as the scattered field outside the coating are unknown and will be obtained by applying the boundary conditions at various layers. Numerical results have been presented graphically to show the effects of chiral and PEMC materials simultaneously on the bistatic width of scattering from coated elliptic cylinder.
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References
I. V. Lindell and A. H. Sihvola, “Perfect electromagnetic conductor,” J. Electromag. Waves Appl., vol. 19, no. 7, pp. 861-869, 2005.
R. Ruppin, “Scattering of electromagnetic radiation by a perfect electromagnetic conductor cylinder,” J. Electromag. Waves Appl., vol. 20, no. 13, pp. 1853-1860, 2006.
S. Ahmed and Q. A. Naqvi, “Electromagnetic scattering from a perfect electromagnetic conductor cylinder buried in a dielectric halfspace,” PIER 78, pp. 25-38, 2008.
S. Ahmed and Q. A. Naqvi, “Electromagnetic scattering from parallel perfect electromagnetic conductor cylinders of circular cross-sections using an iterative procedure,” J. Electromag. Waves Appl., vol. 22, pp. 987-1003, 2008.
A. Illahi, M. Afzaal, and Q. A. Naqvi, “Scattering of dipole field by a perfect electromagnetic conductor cylinder,” PIER L 4, pp. 43-53, 2008.
S. Ahmed and Q. A. Naqvi, “Electromagnetic scattering from a two dimensional perfect electromagnetic conductor (PEMC) rectangular strip and PEMC rectangular strip grating simulated by circular cylinders,” Optics Comm., vol. 281, pp. 4211-4218, 2008.
S. Ahmed and Q. A. Naqvi, “Electromagnetic scattering of two or more incident plane waves by a perfect electromagnetic conductor cylinder coated with a metamaterial,” PIER B, vol. 10, pp. 75-90, 2008.
A. Illahi and Q. A. Naqvi, “Scattering of an arbitrarily oriented dipole field by an infinite and a finite length PEMC circular cylinder,” CEJP, vol. 7, no. 4, pp. 829-853, 2009.
S. Ahmed and Q. A. Naqvi, “Directive EM radiation of a line source in the presence of a coated PEMC circular cylinder,” PIER 92, pp. 91-102, 2009.
A. Sihvola, 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. Electromag., pp. 317-320, 2005.
R. Ruppin, “Scattering of electromagnetic radiation by a perfect electromagnetic conductor sphere,” J. Electromag. Waves Appl., vol. 20, no. 12, pp. 1569-1576, 2006.
A-K. Hamid and F. R. Cooray, “Scattering of electromagnetic waves by a perfect electromagnetic conducting spheroid,” IET Proc. Microwaves Antennas Propagat., vol. 2, no. 7, pp. 686-695, 2008.
Q. Naqvi 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, pp. 5664- 5670, 2008.
R. Ruppin, “Scattering of electromagnetic radiation by a coated perfect electromagnetic conductor sphere,” PIER L, vol. 8, pp. 53-62, 2009.
I. V. Lindell and A. H. Sihvola, “Perfect electromagnetic conductor,” J. Electromag. Waves Appl., vol. 19, no. 7, pp. 861-869, 2005.
A. Sihvola, I. V. Lindell, and P. Ylä-Oijala, “Scattering properties of PEMC (perfect electromagnetic conducting) materials,” Symp. Digest PIERS, Hangzhou, China, Aug. 2005.
I. V. Lindell and A. H. Sihvola, “Perfect electromagnetic conductor (PEMC) in electromagnetics,” Symp. Digest PIERS, Hangzhou, China, Aug. 2005.
I. V. Lindell and A. H. Sihvola, “Transformation method for problems involving perfect electromagnetic conductor (PEMC) structures,” IEEE Trans. Antennas Propag., vol. 53, no. 9, pp. 3005-3011, 2005.
H. A. Ragheb and L. Shafai, “Electromagnetic scattering from a dielectric-coated elliptic cylinder,” Can. J. Phys., vol. 66, no. 12, pp. 1115- 1122, 1988.
S. Ahmed, F. Manan, A. Shahzad, and Q. A. Naqvi, “Electromagnetic scattering from a chiral-coated PEMC cylinder,” Progress In Electromagnetics Research M, vol. 19, pp. 239-250, 2011.
M. Khalid, A. A. Syed, and Q. A. Naqvi, “Circular cylinder with D’B, DB’ and D’B’ boundary conditions placed in chiral and chiral nihility media,” International Journal of Applied Electromagnetics and Mechanics, vol. 44, pp. 59- 68, 2014.
F. Cooray and A-K. Hamid, “Scattering from a coated perfect electromagnetic conducting elliptic cylinder,” International Journal of Electronics and Communications, AEUE, vol. 66, pp. 472-479, 2012.
P. M. Morse and H. Feshbach, Methods of Theoretical Physics, Part II, McGraw Hill, New York, 1953.
A-K. Hamid and F. Cooray, “Scattering from a chirally coated DB elliptic cylinder,” International Journal of Electronics and Communications, AEUE, vol. 68, pp. 1106-1111, 2014.