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Numerical Studies of Left Handed Metamaterials
By
, Vol. 35, 315-334, 2002
Abstract
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.
Citation
Christopher D. Moss Tomasz M. Grzegorczyk Y. Zhang Jin Au Kong , "Numerical Studies of Left Handed Metamaterials," , Vol. 35, 315-334, 2002.
doi:10.2528/PIER02052409
http://www.jpier.org/PIER/pier.php?paper=0205249
References

1. Smith, D. R., W. J. Padilla, D. C. Vier, D. C. Nemal-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett., Vol. 84, No. 18, May 2000.
doi:10.1103/PhysRevLett.84.4184

2. Kong, J. A., "Electromagnetic wave interaction with stratified negative isotropic media," J. Electromagnetic Waves and Applications, Vol. 15, No. 10, 2001.
doi:10.1163/156939301X01200

3. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of ² and μ," Soviet Physics, Vol. 10, No. 4, January 1968.
doi:10.1070/PU1968v010n04ABEH003699

4. Pendry, J. B., "Negative refraction makes a perfect lens," Phys. Rev. Lett., Vol. 85, No. 18, October 2000.
doi:10.1103/PhysRevLett.85.3966

5. Rotman, W., "Plasma simulation by artificial dielectrics and parallel-plate media," IRE Trans. Antennas and Propagation, Vol. 10, 82-95, January 1962.
doi:10.1109/TAP.1962.1137809

6. Pendry, J. B., A. J. Holden, D. J. Robbins, and W. J. Stewart, "Low frequency plasmons in thin wire structures," J. Phys. Condens. Matter, Vol. 10, No. 22, 4785-4809, June 1998.
doi:10.1088/0953-8984/10/22/007

7. Pendry, J. B., A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech., Vol. 47, No. 11, November 1999.

8. Shelby, R. A., D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, April 2001.

9. Kong, J. A., B.-I. Wu, and Y. Zhang, "Lateral displacement of a Gaussian beam reflected from a grounded slab with negative permittivity and permeability," Appl. Phys. Lett., Vol. 80, No. 12, March 2001.

10. Caloz, C., C.-C. Chang, and T. Itoh, "Full-wave verification of the fundamental properties of left-handed materials in waveguide configurations," Journal of Applied Physics, Vol. 90, No. 11, 5483-5486, December 2001.
doi:10.1063/1.1408261

11. Markos, P. and C. M. Soukoulis, "Transmission studies of lefthanded materials," Physical Review B, Vol. 65, December 2001.

12. Weiland, T., R. Schuhmann, R. B. Greegor, C. G. Parazzoli, A. M. Vetter, D. R. Smith, D. C. Vier, and S. Schultz, "Ab initio numerical simulation of left-handed metamaterials: Comparison of calculations and experiments," Journal of Applied Physics, Vol. 90, No. 10, 5419-5424, November 2001.
doi:10.1063/1.1410881

13. Berenger, J. P., "A perfectly matched layer for the absorption of electromagnetic waves," J. Comp. Phys., Vol. 114, 185-200, 1994.
doi:10.1006/jcph.1994.1159

14. Harris, F. J., "On the use of windows for harmonic analysis with discrete Fourier Transform," Proc. IEEE, Vol. 66, 51-83, 1978.
doi:10.1109/PROC.1978.10837

15. Kong, J. A., Electromagnetic Wave Theory, 2nd Edition, John Wiley & Sons, Inc., New York, 1990.