NUMERICAL STUDIES OF LEFT HANDED METAMATERIALS

We use the three dimensional Finite Difference Time Domain (FDTD) technique to study metamaterials exhibiting both negative permittivity and permeability in certain frequency bands. The structure under study is the well-known periodic arrangement of rods and split-ring resonators, previously used in experimental setups. The three parameters we study are the transmission coefficient of a slab, the phase variation of the propagating fields within the metamaterial, and the refraction of a wave through a prism. To our knowledge, this is the first time that the last two parameters are studied rigorously using a numerical method. The results of this work show that fields propagating inside the metamaterial with a forward power direction exhibit a backward phase velocity and negative index of refraction.

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

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

[3]  F. Harris.  On the use of windows for harmonic analysis with the discrete Fourier transform , 1978, Proceedings of the IEEE.

[4]  J. Kong.  Electromagnetic Wave Theory , 1986 .

[5]  Jean-Pierre Berenger,et al.  A perfectly matched layer for the absorption of electromagnetic waves , 1994 .

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

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

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

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

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

[11]  C. Soukoulis,et al.  Transmission studies of left-handed materials , 2001, cond-mat/0105618.

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

[13]  Rolf Schuhmann,et al.  Ab initio numerical simulation of left-handed metamaterials: Comparison of calculations and experiments , 2001 .

[14]  Jin Au Kong,et al.  Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability , 2002 .

[15]  Jin Au Kong,et al.  ELECTROMAGNETIC WAVE INTERACTION WITH STRATIFIED NEGATIVE ISOTROPIC MEDIA , 2002 .