Near Field and Far Field Calculation from Metallic Elliptical Cylinder Coated with Left-Handed Metamaterial
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Abstract
Recently, there is an increasing demand for metamaterial research both in theory and practical designs. Metamaterial cloaks and partially filled waveguide have been considered for their potential radiation enhancement and electromagnetic field confinement of sources. For some particular cases, the analysis can be carried out by separation of variables with the use of special functions. This paper present a two-dimensional problem of electromagnetic scattering from line source located outside of a metallic elliptical cylinder coved by isorefractive (right-handed material) and anti-isorefractive dielectric (left-handed material) . Analytical solutions of electric and magnetic fields as functions of line source position and layer thickness are discussed in frequency domain.
Keywords
Elliptical cylinder, metamaterial, separation of variables
Article Details
References
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[2] O.Akgol, D. Erricolo and P. L. E. Uslenghi, Exact Imaging by an Elliptic Lens, in IEEE Antennas and Wireless Propagation Letters, vol. 10, pp. 639-642,2011.
[3] O. Akol, V. G. Daniele, D. Erricolo and P. L. E. Uslenghi, Radition From a Line Source Shielded by a Confocal Elliptic Layer of DNG Metamaterial, in IEEE Antennas and Wireless Propagation Letters, vol. 10, pp. 943-946, 2011.
[4] J.J Bowman, T.B.A Senior, and P.L.E Uslenghi, Electromagnetic and Acoustic Scattering by simple Shapes, Amsterdam: North Holland Publishing Co., 1969. Reprinted by Hemisphere Publishing Co., New York, 1987.
[5] J.A Stratton Electromagnetic theory, New York: McGraw-Hill, 1941.
[6] Danilo Erricolo and Giuseppe Carluccio, Algorithm 934: Fortran 90 subroutines to compute Mathieu functions for complex values of the parameter ACM Trans. Math. Softw. 40, 1, Article 8 (October 2013).
[7] P. L. E. Uslenghi, Exact penetration, radiation, and scattering for a slotted semielliptical channel filled with isorefractive material, IEEE Trans. Antennas Propag., vol.52, no.6 pp.1473-1480, June 2004.
[8] S.Zhang and J.M Jin Computation of Special Functions, New York: Wiley, 1996.