Backward Wave Region and Negative Material Parameters of a Structure Formed by Lattices of Wires and Split-Ring Resonators

IEEE Transactions on Antennas and Propagation

Volumn 51, Issue 10 I, 2003, Pages 2582-2591

  Simovski, Constantin R ^a   Belov, Pavel A ^b   He, Sailing ^c,d  

^a ITMO UNIVERSITY   (Russian Federation)

^b AALTO UNIVERSITY   (Finland)

^c ZHEJIANG UNIVERSITY   (China)

^d ROYAL INSTITUTE OF TECHNOLOGY   (Sweden)

Author keywords

Analytical formula; Backward wave; Homogenization; Left handed media; Negative permeability; Negative permittivity; Negative refraction; Split ring resonators; Veselago media

Indexed keywords

MAGNETIC PERMEABILITY; PERMITTIVITY; REFRACTION; WIRE;

SPLIT RING RESONATORS (SRR);

RESONATORS;

EID: 0142031117     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2003.817554     Document Type: Article

References (26)

1. V. G. Veselago, "The electrodynamics of substances with simultaneously negative values of ε and μ," Soviet Physics Uspekhi, vol. 10, pp. 509-514, 1968.
2. D. R. Smith and N. Kroll, "Negative refractive index in left-handed materials," Phys. Rev. Lett., vol. 85, pp. 2933-2936, 2000.
3. M. V. Kostin and V. V. Shevchenko, "Theory of artificial magnetic substances based on ring currents," Soviet J. Commun. Technol. Electron., vol. 38, no. 5, pp. 78-83, 1993.
4. J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phenomena," IEEE Trans. Microwave Theory Tech., vol. 47, pp. 195-225, Nov. 1999.
5. J. Brown, "Artificial dielectrics," in Progress in Dielectrics: IEE, 1960, vol. 2, pp. 195-225.
6. J. B. Pendry, A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low-frequency plasmons in metallic mesostructures," Phys. Rev. Lett., vol. 78, no. 25, pp. 4773-4776, 1996.
7. S. I. Maslovski, S. A. Tretyakov, and P. A. Belov, "Wire media with negative effective permittivity: A quasistatic model," Microwave Opt. Technol. Lett., vol. 35, no, 1, pp. 47-51, 2002.
8. R. A. Shelby, D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, vol. 292, pp. 77-79, 2001.
9. T. Weiland, 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: Comparizon of calculations and experiments," J. Appl. Phys., vol. 90, p. 5419, 2001.
10. D. R. Smith, W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite media with simultaneously negative permeability and permittivity," Phys. Rev. Lett., vol. 84, pp. 4184-4187, 2000.
11. D. R. Smith, D. C. Vier, N. Knoll, and S. Schultz, "Direct calculation of permeability and permittivity for left-handed metameterial, " Appl. Phys. Lett., vol. 77, p. 2246, 2000.
12. R. A. Shelby, D. R. Smith, S. C. Nemat-Nasser, and S. Schultz, "Microwave transmission through a two-dimensional, Isotropic, left-handed meterial," Appl. Phys. Lett., vol. 78, p. 489, 2001.
13. S. A. Tretyakov, I. S. Nefedov, C. R. Simovski, and S. I. Maslovski, "Modeling and microwave properties of artificial materials with negative parameters," in Advances in Electromagnetics of Complex Media and Metamaterials, S. Zouhdi, A. Sihvola, and M. Arsalane, Eds. Boston, MA: Kluwer Academic, 2002, pp. 99-122.
14. N. Garcia and M. Nieto-Vesperinas, "Is there an experimental verification of a negative index of refraction yet?," Opt. Lett., vol. 27, no. 11, pp. 885-887, 2002.
15. C. R. Simovski and B. Sauviac, "Toward creating the Isotropic media with negative refraction," Phys. Rev. B, 2002, to be published.
16. R. Marques, F. Medina, and R. R. El-Edrissi, "Role of bianisotropy in negative permeability and left-handed metamaterials," Phys. Rev. B, Condens. Matter, vol. 65, p. 14 440, 2002.
17. A. N. Lagarkov, V. N. Semenenko, V. A. Chistyaev, D. E. Ryabov, S. A. Tretyakov, and C. R. Simovski, "Resonance properties of bi-helix media at microwaves," Electromagn., vol. 17, no, 3, pp. 213-237, 1997.
18. S. A. Tretyakov, F. Mariotte, C. R. Simovski, T. G. Kharina, and J.-P. Heliot, "Analytical antenna model for chiral scatterers: Comparison with numerical and experimental data," IEEE Trans. Antennas Propagat., vol. 44, pp. 1006-1014, 1996.
19. P. A. Belov, S. A. Tretyakov, and A. J. Viitanen, "Dispersion and reflection properties of artificial media formed by regular lattices of ideally conducting wires," J. Electromagn. Waves Applicat., vol. 16, pp. 1153-1170, 2002.
20. I. V. Lindell, Methods of Electromagnetic Field Analysis. Oxford, U.K. and New York: Oxford Univ. Press and IEEE Press, 1995.
21. J. E. Sipe and J. Van Kranendonk, "Macroscopic electromagnetic theory of resonant dielectrics," Phys. Rev. A, Gen. Phys., vol. 9, pp. 1806-1822, 1974.
22. P. A. Belov, S. A. Tretyakov, and A. J. Viitanen, "Nonreciprocal microwave bandgap structures," Phys. Rev. E, Stat. Phys. Plasmas Fluids Relat. Interdiscip. Top., vol. 66, p. 016 608, 2002.
23. S. A. Tretyakov and A. J. Viitanen, "Plane waves in regular arrays of dipole scatterers and effective medium modeling," J. Opt. Soc. Amer. A, Opt. Image Sci., vol. 17, pp. 1791-1799, 2000.
24. C. A. Moses and N. Engheta, "Electromagnetic wave propagation in the wire medium: A complex medium with long thin inclusions," Wave Motion, vol 34, pp. 301-317, 2001.
25. J. D. Joannopoulos, R. D. Mead, and J. N. Winn, Photonic Crystals. Princeton, NJ: Princeton Univ., 1995.
26. L. D. Landau, E. M. Lifschitz, and L. P. Pitaevski, Electrodynamics of Continuous Media. New York: Pergamon, 1984.