On the Electromagnetic Modelling of Left-Handed Metamaterials

The electromagnetic modelling of discrete left-handed microwave metamaterials is discussed. A continuous-medium approach is proposed for the analysis of a wide class of left-handed and negative permeability media made by placing metallic inclusions in a host dielectric medium. This includes all artificial media made by the superposition of an artificial plasma and a negative magnetic permeability medium made of split ring resonators. The proposed model allows for the consideration of both edge- and broadsidecoupled split rings resonators. It also allows for the use of wires and/or metallic plates in the plasma simulation. Other related physical effects that can appear in these artificial media, such as bianisotropy, are also taken into account. The numerical computations provided by the model are compared with full-wave numerical simulations and experimental results, showing a good agreement. The advantages and disadvantages of the different left-handed metamaterial designs considered along the text are also discussed.

[1]  David R. Smith,et al.  Left-Handed Metamaterials , 2001 .

[2]  Ari Sihvola,et al.  Electromagnetic Waves in Bi-Isotropic and Chiral Media , 1994 .

[3]  W. Rotman.  Plasma simulation by artificial dielectrics and parallel-plate media , 1962 .

[4]  Nader Engheta,et al.  A reciprocal phase shifter using novel pseudochiral or ω medium , 1992 .

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

[6]  Costas M. Soukoulis,et al.  Photonic Crystals and Light Localization in the 21st Century , 2001 .

[7]  A. J. Bahr,et al.  An approximate model for artificial chiral material , 1994 .

[8]  J. Pendry,et al.  Effective electronic response of a system of metallic cylinders , 1998, cond-mat/9804195.

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

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

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

[12]  Sergei A. Tretyakov,et al.  Influence of Chiral Shapes of Individual Inclusions on the Absorption in Chiral Composite Coatings , 1996 .

[13]  H. A. Wheeler.  Transmission-Line Properties of Parallel Strips Separated by a Dielectric Sheet , 1965 .

[14]  W. E. Kock,et al.  Metallic delay lenses , 1948, Bell Syst. Tech. J..

[15]  Ari Sihvola,et al.  Electromagnetic mixing formulas and applications , 1999 .

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

[17]  F. Medina,et al.  Left-handed-media simulation and transmission of EM waves in subwavelength split-ring-resonator-loaded metallic waveguides. , 2002, Physical review letters.

[18]  Sergei A. Tretyakov,et al.  Isotropic chiral composite modeling: Comparison between analytical, numerical, and experimental results , 1994 .

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

[20]  G. Ghione,et al.  Analytical formulas for coplanar lines in hybrid and monolithic MICs , 1984 .

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

[22]  Ismo V. Lindell,et al.  Electromagnetic Waves in Chiral and Bi-Isotropic Media , 1994 .

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

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

[25]  Inder J. Bahl,et al.  Microwave Solid State Circuit Design , 1988 .

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