Distributed-circuit-element description of guided-wave structures and cavities involving double-negative or single-negative media

Materials with negative real effective permittivity and permeability (also known as "double-negative (DNG)" media) may exhibit interesting features that lead to unconventional phenomena in guidance of electromagnetic waves. As one such class of problems, in some of our earlier works we studied the guided wave propagation in structures containing a layer of DNG material paired with a slab of conventional (i.e., "double-positive (DPS)") material. In particular, we showed that such a DNG-DPS bilayer has unusual properties as a guided-wave structure. For instance, a parallel-plate waveguide filled with a pair of parallel lossless DNG and DPS layers may support dominant TE and TM modes that can propagate even when the waveguide total thickness is electrically very small. In the present work, we underline the possibility to explain some of the unconventional EM characteristics of such paired DPS-DNG waveguides and cavities using the distributed-circuit-element approach with appropriate choice of elements. The negative nature of the real part of permittivity and/or permeability affects the choice of such distributed circuit elements, and in turn the overall circuit structure exhibits certain natural "resonances" that may not be present when conventional materials are employed in such waveguides or cavities. The "circuit-element" approach can also be applied to "single-negative (SNG)" layers, in which only one of the material parameters, not both, has negative real part. Here, we first present a brief overview of our work on modal analysis in waveguides and cavities with DNG or SNG layers, and we then present our results on their distributed-circuit-element modeling.

[1]  Capacitively Loaded Loop as Basic Element of Negative Permeability Meta-material , 2002, 2002 32nd European Microwave Conference.

[2]  Andrea Alù,et al.  Radiation from a traveling‐wave current sheet at the interface between a conventional material and a metamaterial with negative permittivity and permeability , 2002 .

[3]  Richard W. Ziolkowski,et al.  Tailoring the electromagnetic responses of metamaterials: double negative medium designs and experiments , 2002, Proceedings of the 2nd IEEE Conference on Nanotechnology.

[4]  W. S. Weiglhofer,et al.  The negative index of refraction demystified , 2002 .

[5]  Francisco Medina,et al.  Role of bianisotropy in negative permeability and left-handed metamaterials , 2002 .

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

[7]  Nader Engheta,et al.  Ideas for Potential Applications of Metamaterials with Negative Permittivity and Permeability , 2002 .

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

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

[10]  Francisco Medina,et al.  A new 2D isotropic left‐handed metamaterial design: Theory and experiment , 2002 .

[11]  George V. Eleftheriades,et al.  A backward-wave antenna based on negative refractive index L-C networks , 2002, IEEE Antennas and Propagation Society International Symposium (IEEE Cat. No.02CH37313).

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

[13]  D. R. Fredkin,et al.  Effectively left-handed (negative index) composite material , 2002 .

[14]  David R. Smith,et al.  Microwave transmission through a two-dimensional, isotropic, left-handed metamaterial , 2001 .

[15]  J. Pendry,et al.  Low frequency plasmons in thin-wire structures , 1998 .

[16]  Andrea Alù,et al.  Pairing an epsilon-negative slab with a mu-negative slab: resonance, tunneling and transparency , 2003 .

[17]  A. Alu,et al.  Mode excitation by a line source in a parallel-plate waveguide filled with a pair of parallel double-negative and double-positive slabs , 2003, IEEE Antennas and Propagation Society International Symposium. Digest. Held in conjunction with: USNC/CNC/URSI North American Radio Sci. Meeting (Cat. No.03CH37450).

[18]  T. Itoh,et al.  Transmission line approach of left-handed (LH) materials and microstrip implementation of an artificial LH transmission line , 2004, IEEE Transactions on Antennas and Propagation.

[19]  N. Engheta,et al.  Anomalous mode coupling in guided-wave structures containing metamaterials with negative permittivity and permeability , 2002, Proceedings of the 2nd IEEE Conference on Nanotechnology.

[20]  N. Engheta,et al.  An idea for thin subwavelength cavity resonators using metamaterials with negative permittivity and permeability , 2002, IEEE Antennas and Wireless Propagation Letters.

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

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

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

[25]  John B. Schneider,et al.  Effects of surface waves on the behavior of perfect lenses , 2002 .

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

[27]  On media with negative dispersion , 2001 .

[28]  Tatsuo Itoh,et al.  Forward coupling phenomena between artificial left-handed transmission lines , 2002 .

[29]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[30]  CONTRA-DIRECTIONAL INTERACTION IN A NRD WAVEGUIDE COUPLER WITH A METAMATERIAL SLAB , 2002 .

[31]  Richard Ziolkowski,et al.  Pulsed and CW Gaussian beam interactions with double negative metamaterial slabs. , 2003, Optics express.

[32]  A. Lakhtakia.  Handedness reversal of circular Bragg phenomenon due to negative real permittivity and permeability. , 2003, Optics express.

[33]  A. Alu,et al.  Mono-modal waveguides filled with a pair of parallel epsilon-negative (ENG) and mu-negative (MNG) metamaterial layers , 2003, IEEE MTT-S International Microwave Symposium Digest, 2003.