Rigorous Study of Forward and Backward Waves in Metamaterial Waveguides

Wyssem Fathallah(1), Hedi Sakli(2*), Taoufik Aguili(3)

(1) Laboratoire de systèmes de communications (SYS'COM). Address: Ecole Nationale d'Ingénieurs de Tunis, BP. 37, Le Belvédère, Tunis 1002., Tunisia
(2) Laboratoire de systèmes de communications (SYS'COM). Address: Ecole Nationale d'Ingénieurs de Tunis, BP. 37, Le Belvédère, Tunis 1002., Tunisia
(3) Director of SYS'COM Labo, Laboratoire de systèmes de communications (SYS'COM). Address: Ecole Nationale d'Ingénieurs de Tunis, BP. 37, Le Belvédère, Tunis 1002., Tunisia
(*) Corresponding author


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Abstract


In this paper a rigorous analysis of the TE modes is developed for studying the propagation in a rectangular metallic waveguide fully-filled with anisotropic metamaterial. The wave equation and the dispersion relations are obtained and analyzed. The higher order modes are exploited. Among the particularities of this anisotropic material, the backward and forward waves can both propagate below the cutoff frequency in the guide. The numerical results for TEm0 are obtained and compared to theoretical predictions and to those previously published. Numerical examples show the validity of this method. In some cases, it has been found that the propagation constant in a rectangular waveguide metamaterial slab is complex although the media are lossless.

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Keywords


Anisotropy; Complex Modes; Metamaterials; Forward and Backward Waves; Waveguide

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References


R. Marques, J. Martel, F. Mesa, and F. Medina, “A new 2D isotropic left-handed metamaterial design: Theory and experiment,” Microw. Opt. Technol. Lett., vol. 35, pp. 405–408, 2002.

S. Hrabar, J. Bartolic, and Z. Sipus, “Waveguide miniaturization using uniaxial negative permeability metamaterial,” IEEE Trans. Antennas Propag., vol. 53, pp. 110-119, 2005.

G. Lubkowski, C. Damm, B. Bandlow, R. Schuhmann, M. S. Bler, and T. Weiland, “Broadband transmission below the cutoff frequency of a waveguide loaded with resonant scatterer arrays,” IET Microw., Antennas Propag., vol. 1, pp. 165–169, 2007.

Y. S. Xu, "Wave propagation in rectangular waveguide filled with single negative metamaterial slab," Electronics Letters, 39, pp. 1831–1833, 2003.

Y. S. Xu, “A study of waveguides field with anisotropic metamaterials,” Microwave Opt. Technol. Lett., 41, pp. 426-431, 2004.

A. Alú and N. Engheta, “Guided modes in a waveguide filled with a pair of single-negative (SNG), double negative (DNG), and/or double-positive (DPS) layers,” IEEE Trans. Microw. Theory Tech., 52, pp. 199-210, 2004.

F. Y. Meng, Q. Wu, J. H. Fu, X. M. Gu, and L. W. Li, "An anisotropic metamaterial-based rectangular resonant cavity," Appl. Phys. A, 91, pp. 573-578, 2008.

G. Zheng, and L. Ran, "Light transmission along a slab waveguide with a core of anisotropic metamaterial", Optik - International Journal for Light and Electron Optics, 119 (12), pp. 591-595, 2008.

H. Sakli, W. Fathallah, and T. Aguili, "Propagation constant of a rectangular waveguides partially filled with metamaterial slab," the 3rd International Conference on Metamaterials, Photonic Crystals, META’12, Paris, France, 19–22 April, 2012.


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