Fundamental modal properties of surface waves on metamaterial grounded slabs

This paper deals with the analysis of surface waves supported by a metamaterial layer on a ground plane, and investigates the potentiality of these grounded slabs as substrates for planar antennas. Both double- and single-negative media, either epsilon- or mu-negative, are considered. As is known, such structures may support two kinds of surface waves, i.e., ordinary (transversely attenuating only in air) and evanescent (transversely attenuating also inside the slab) surface waves. A graphical analysis is performed for proper real solutions of the dispersion equation for TE and TM modes, and conditions are presented that ensure the suppression of a guided-wave regime for both polarizations and kinds of wave. In order to demonstrate the feasibility of substrates with such desirable properties, numerical simulations based on experimentally tested dispersion models for the permittivity and permeability of the considered metamaterial media are reported. Moreover, the effects of slab truncation on the field radiated by a dipole source are illustrated by comparing the radiation patterns at different frequencies both in the presence and in the absence of surface waves. The reported results make the considered structures promising candidates as substrates for planar antennas and arrays with reduced edge-diffraction effects and mutual coupling between elements.

[1]  R. Ziolkowski,et al.  Wave propagation in media having negative permittivity and permeability. , 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

[2]  R. Greegor,et al.  Experimental verification and simulation of negative index of refraction using Snell's law. , 2003, Physical review letters.

[3]  G. Lovat,et al.  Effects of leaky-wave propagation in metamaterial grounded slabs excited by a dipole source , 2005, IEEE Transactions on Microwave Theory and Techniques.

[4]  R. Damon,et al.  Magnetostatic modes of a ferromagnet slab , 1961 .

[5]  N. Engheta,et al.  Guided modes in a waveguide filled with a pair of single-negative (SNG), double-negative (DNG), and/or double-positive (DPS) layers , 2004, IEEE Transactions on Microwave Theory and Techniques.

[6]  Jin Au Kong,et al.  Guided modes with imaginary transverse wave number in a slab waveguide with negative permittivity and permeability , 2003 .

[7]  S. Tretyakov,et al.  Waveguide containing a backward‐wave slab , 2002, cond-mat/0211185.

[8]  J. Pendry,et al.  Magnetism from conductors and enhanced nonlinear phenomena , 1999 .

[9]  G. Lovat,et al.  Surface-wave suppression in a double-negative metamaterial grounded slab , 2003, IEEE Antennas and Wireless Propagation Letters.

[10]  G. Lovat,et al.  NEW DISPERSION CHARACTERISTICS AND SURFACE-WAVE SUPPRESSION IN DOUBLE-NEGATIVE METAMATERIAL GROUNDED SLABS , 2004 .

[11]  A. A. Oliner,et al.  The spectrum of electromagnetic waves guided by a plasma layer , 1963 .

[12]  Y. Kivshar,et al.  Guided modes in negative refractive index waveguides , 2002, Conference on Lasers and Electro-Optics, 2003. CLEO '03..

[13]  George V. Eleftheriades,et al.  Abnormal wave propagation in passive media , 2003 .

[14]  H. Cory,et al.  Surface‐wave propagation along a metamaterial slab , 2003 .

[15]  F. Frezza,et al.  Novel behaviours of guided and leaky waves in microwave ferrite devices , 1996, Proceedings of 8th Mediterranean Electrotechnical Conference on Industrial Applications in Power Systems, Computer Science and Telecommunications (MELECON 96).

[16]  V. Veselago,et al.  Электродинамика веществ с одновременно отрицательными значениями ε и μ , 1967 .

[17]  A. Grbic,et al.  Experimental verification of backward-wave radiation from a negative refractive index metamaterial , 2002 .

[18]  T. Tamir,et al.  GUIDED COMPLEX WAVES: PART I. FIELDS AT AN INTERFACE , 1963 .

[19]  R. Shelby,et al.  Experimental Verification of a Negative Index of Refraction , 2001, Science.

[20]  Sergei A. Tretyakov,et al.  BW media—media with negative parameters, capable of supporting backward waves , 2001 .

[21]  Willie J Padilla,et al.  Composite medium with simultaneously negative permeability and permittivity , 2000, Physical review letters.

[22]  G. Eleftheriades,et al.  Planar negative refractive index media using periodically L-C loaded transmission lines , 2002 .

[23]  R. Collin Field theory of guided waves , 1960 .

[24]  V. Veselago The Electrodynamics of Substances with Simultaneously Negative Values of ∊ and μ , 1968 .

[25]  R. Ziolkowski Design, fabrication, and testing of double negative metamaterials , 2003 .

[26]  Stewart,et al.  Extremely low frequency plasmons in metallic mesostructures. , 1996, Physical review letters.

[27]  R. Damon,et al.  Magnetostatic Modes of a Ferromagnetic Slab , 1960 .

[28]  J. Pendry,et al.  Negative refraction makes a perfect lens , 2000, Physical review letters.

[29]  Tatsuo Itoh,et al.  Full-wave verification of the fundamental properties of left-handed materials in waveguide configurations , 2001 .

[30]  David R. Jackson,et al.  Radiation from Dielectric Leaky-Wave Antennas with Circular and Rectangular Apertures , 1997 .

[31]  G. Lovat,et al.  The nature of radiation from leaky waves on single- and double-negative metamaterial grounded slabs , 2004, 2004 IEEE MTT-S International Microwave Symposium Digest (IEEE Cat. No.04CH37535).