Discrimination of Modes of Double- and Single-Negative Grounded Slab

Authors: R. Borghol, T. Aguili

Abstract:

In this paper, we investigate theoretically the waves propagation in a lossless double-negative grounded slab (DNG). This study is performed by the Transverse Resonance Method (TRM). The proper or improper nature of real and complex modes is observed. They are highly dependent on metamaterial parameters, i.e. ɛ_r-negative, µ_r-negative, or both. Numerical results provided that only the proper complex modes (i.e., leaky modes) exist in DNG slab, and only the improper complex modes exist in single-negative grounded slab.

Keywords: Double-negative grounded slab, real and complex modes, single-negative grounded slab, transverse resonance method.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1340188

References:

[1] P. Baccarelli, B. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat and S. Paulotto, “The nature of radiation from leaky waves on single- and double-negative metamaterial grounded slabs,” IEEE MIT-S Digest, 2004.
[2] Baccarelli, P., P. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat, and S. Paulotto, “Fundamental modal properties of surface waves on metamaterial grounded slabs,” IEEE Trans. Microwave Theory Tech, Vol. 53, 1431–1442, Apr. 2005.
[3] I. J. Bahl and P. Bhartia, “Leaky wave antennas using artificial dieletric at millimeter wave frequencies,” IEEE Trans. Mirowave Theory Tech. 28, 1205 (1980).
[4] I. S. Nevedov and S. A. Tretyakov, “Theoretical Study of Waveguiding Structures Containing Backward-Wave Materials,”
[5] A. Alu 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. Micro. Theory Tech, vol. 52, no. 1, January 2005.
[6] W. Shu and J. M. Song, “Wave Propagation in Grounded Dielectric Slabs with Double Negative Metamaterials,” Progress in Electromagnetics Research Symposium 2006, Cambridge, USA, March 26-29.
[7] P. Baccarelli, B. Burghignoli, F. Frezza, A. Galli, P. Lampariello, G. Lovat and S. Paulotto, “Effects of Leaky-Wave Propagation in Metamaterial Grounded Slabs Excites by a Dipole Source,” IEEE Trans. Micro. Theory Tech, vol. 53, no. 1, January 2005.
[8] R. T. Ling, J. D. Scholler, and P. Ya. Ufimtsev, “The Propagation and Excitation of Surface Waves in an Absorbing Layer,” Progress In Electromagnetics Research, PIER 19, 49-91, 1998.
[9] O. Balosso, “Introduction des Ondes de surface dans un Modèle Adapté de Faisceaux Gaussiens pou le Traitement du Couplage Antenne-Structure,” thèse, université Toulouse 3 Paul Sabatier pp. 149-151, juin 2014.