Scattering by Chiral Lossy Metamaterial Elliptic Cylinders
Keywords:
Chiral lossy, circular and elliptic cylinders, Mathieu functions, metamaterialAbstract
Electromagnetic fields are expressed in terms of appropriate complex angular and a rigorous solution to the problem of scattering of a plane wave from a chiral lossy metamaterial circular or elliptic cylinder is presented in this paper using the method of separation of variables. The incident scattered as well as the transmitted radial Mathieu functions with expansion coefficients. The incident field expansion coefficients are known, but the scattered and transmitted field expansion coefficients are to be determined. Imposing the boundary conditions at the surface of the chiral lossy metamaterial elliptic cylinder enables the determination of the unknown expansion coefficients. Results are presented as normalized scattering widths for circular and elliptic cylinders of different sizes and chiral lossy metamaterial materials, and for both TE and TM polarizations of the incident wave, to show the effects of these on scattering cross widths.
Downloads
References
D. L. Jaggard, A. R. Mickelson, and C. H. Papas, “On Electromagnetic Waves in Chiral Media,” Appl. Phys., vol. 18, pp. 211-216, 1979.
P. L. E. Uslenghi, “Scattering by an Impedance Sphere Coated with a Chiral Layer,” Electromagn., vol. 10, pp. 201-211, Jan.-June 1990.
N. Engheta and P. Pelet, “Modes in ChiroWaveguides,” Opt. Lett., vol. 14, pp. 593-595, June 1989.
C. Eftimiu and L. W. Pearson, “Guided Electromagnetic Waves in Chiral Media,” Radio Sci., vol. 24, pp. 351-359, May-June 1989.
N. Engheta and S. Bassiri, “One- and TwoDimensional Dyadic Green’s Functions in Chiral Media,” IEEE Trans. Antennas Propagat., vol. 37, pp. 512-515, Apr. 1989.
W. S. Weiglhofer, “Isotropic Chiral Media and Scalar Hertz Potentials,” J. Phys. A, vol. 21, pp. 2249-2251, 1988.
N. Engheta and D. L. Jaggard, “Electromagnetic Chirality and its Applications,” IEEE Antennas Propagat. Soc. Newsletter, vol. 30, pp. 6-12, Oct. 1988.
S. Bassiri, C. H. Papas, and N. Engheta, “Electromagnetic Wave Propagation through a Dielectric-Chiral Interface and through a Chiral Slab,” J. Opt. Soc. Am. A, vol. 5, pp. 1450-1459, Sept. 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.
A. Lakhtakia, V. V. Varadan, and V. K. Varadan, “Field Equations, Huygens’s Principle, Integral Equations, and Theorems for Radiation and Scattering of Electromagnetic Waves in Isotropic Chiral Media,” J. Opt. Soc. Am. A, vol. 5, pp. 175-184, Feb. 1988.
A. Lakhtakia, V. V. Varadan, and V. K. Varadan, “Radiation by a Straight Thin-Wire Antenna Embedded in an Isotropic Chiral Media,” IEEE Trans. Electromagn. Compat., vol. 30, pp. 84-87, Feb. 1988.
M. S. Kluskens and E. H. Newman, “Scattering by a Multilayer Chiral Cylinder,” IEEE Trans. Antennas Propagat., vol. 39, pp. 91-96, 1991.
A. Z. Elsherbeni, M. H. Al Sharkawy, and S. F. Mahmoud, “Electromagnetic Scattering from a 2-D Chiral Strip Simulated by Circular Cylinders for Uniform and Nonuniform Chirality Distribution”, IEEE Trans. Antennas Propagat, vol. 52, no. 9, pp. 2244-2252, 2004.
S. Ahmed and Q. A. Naqvi, “Electromagnetic Scattering from a Chiral Coated Nihility Cylinder,” Progress In Electromagnetics Research Letters, vol. 18, pp. 41-50, 2010.
R. Rojas, “Integral Equations for EM Scattering by Homogeneous /Inhomogeneous Two-Dimensional Chiral Bodies”, Inst. Elect. Eng. Microw., 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, no. 7, pp. 1041–1049, Jul. 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, no. 3, pp. 925-932, 2006.
A. M. Attiya, “Coupled Mode Analysis of TwoDimensional Chiral Grating,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 26, no. 4, pp. 303–311, April 2011.
S. T. Imeci, F. Altunkilic, J. R. Mautz, and E. Arvas, “Transmission through an Arbitrarily Shaped Aperture in a Conducting Plane Separating Air and a Chiral Medium,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 25, no. 7, pp. 587–599, July 2010.
B. N. Khatir, M. Al-Kanhal, and A. Sebak, “Electromagnetic Wave Scattering by Elliptic Chiral Cylinder,” Journal of Electromagnetic Waves and Applications, vol. 20, no. 10, pp. 1377–1390, 2006.
B. N. Khatir and A. R. Sebak, “Slot Antenna on a Conducting Elliptic Cylinder Coated by Chiral Media,” Electromagnetics, vol. 29, no. 7, pp. 522–540, 2009.
B. N. Khatir and A. R. Sebak, “Slot Antenna on a Conducting Elliptic Cylinder Coated by Nonconfocal Chiral Media,” Progress in Electromagnetics Research, vol. 93, pp. 125–143, 2009.
A. -K. Hamid, “EM Scattering by a Lossy DielectricCoated Nihility Elliptic Cylinder”, Applied Computational Electromagnetics Society (ACES) Journal, vol. 25, pp. 444-449, 2010.
A. -K. Hamid and F. R. Cooray, “Scattering by a Perfect Electromagnetic Conducting Elliptic Cylinder”, Progress in Electromagnetic Research, PIER, vol. 10, pp. 59-67, 2009.
