PIER
 
Progress In Electromagnetics Research
ISSN: 1070-4698, E-ISSN: 1559-8985
Home | Search | Notification | Authors | Submission | PIERS Home | EM Academy
Home > Vol. 51 > pp. 197-217

MACROSCOPIC PERFORMANCE ANALYSIS OF METAMATERIALS SYNTHESIZED FROM MICRSOCOPIC 2-D ISOTROPIC CROSS SPLIT-RING RESONATOR ARRAY

By H.-Y. Yao, J. L.-W. Li, Q. Wu, and J. A. Kong

Full Article PDF (540 KB)

Abstract:
Two-dimensional isotropic metamaterials fabricated from cross split-ring resonators (CSRRs) are characterized and their constitutive relation tensors are studied in this paper. The effective constitutive parameters of the metamaterials are determined utilizing the quasi-static Lorentz theory and numerical method (i.e., the method of moments for solving the electric field integral equation). The induced current distributions of a single CSRR at the resonant frequency are presented. Moreover, the dependence of the resonant frequency on the dimensions of a single CSRR and the space distances of the CSRR array is also discussed. Reflection and transmission coefficients of a metamaterial slab versus frequency are finally discussed.

Citation: (See works that cites this article)
H.-Y. Yao, J. L.-W. Li, Q. Wu, and J. A. Kong, "Macroscopic Performance Analysis of Metamaterials Synthesized from Micrsocopic 2-D Isotropic Cross Split-Ring Resonator Array," Progress In Electromagnetics Research, Vol. 51, 197-217, 2005.
doi:10.2528/PIER04020301
http://www.jpier.org/PIER/pier.php?paper=0402031

References:
1. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of ε and μ," Soviet Physics Uspekhi, Vol. 10, No. 4, 509-514, 1968.
doi:10.1070/PU1968v010n04ABEH003699

2. Pendry, J. B., A. J. Holden, W. J. Stewart, and I. Youngs, "Extremely low frequency plasmons in metallic meso structures," Phys. Rev. Lett., Vol. 76, 4773-4776, 1996.
doi:10.1103/PhysRevLett.76.4773

3. Pendry, J. B., A. J. Holden, D. J. Robbins, and W. J. Stewart, "Magnetism from conductors and enhanced nonlinear phe- nomena," IEEE Trans. Microwave Theory Tech., Vol. 47, No. 11, 2075-2084, 1999.
doi:10.1109/22.798002

4. Pendry, J. B., "Negative refraction makes a perfect lens," Phys. Rev. Lett., Vol. 85, No. 18, 3966-3969, 2000.
doi:10.1103/PhysRevLett.85.3966

5. Smith, D. R., W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "Composite medium with simultaneously negative permeability and permittivity," Physical Review Letters, Vol. 84, No. 18, 4184-4187, 2000.
doi:10.1103/PhysRevLett.84.4184

6. Li, L.-W., H.-X. Zhang, and Z.-N. Chen, Representation of constitutive relation tensors of metamaterials: An approximation for ffb media, Progress In Electromagnetics Research Symposium, 13-16, 2003.

7. Smith, D. R. and D. Schurig, "Electromagnetic wave propagation in media with indefinite permittivity and permeability tensors," Physical Review Letters, Vol. 90, No. 7, 077405, 2003.
doi:10.1103/PhysRevLett.90.077405

8. Chen, H., L. Ran, J. Huangfu, X. Zhang, K. Chen, T. M. Grzegorczyk, and J. A. Kong, "T-junction waveguide experiment to characterize left-handed properties of metamaterials," Journal of Applied Physics, Vol. 94, No. 6, 3712-3716, 2003.
doi:10.1063/1.1603344

9. Ziolkowski, R. W., "Design, fabrication, and testing of double negative metamaterials," IEEE Trans. Antennas Propagation, Vol. 51, No. 7, 1516-1529, 2003.
doi:10.1109/TAP.2003.813622

10. Engheta, N., "Metamaterials with negative permittivity and permeability: background, salient features, and new trends," Microwave Symposium Digest, Vol. 1, 187-190, 2003.

11. Cubukcu, E., K. Aydin, and E. Ozbay, "Subwavelength resolution in a two-dimensional photonic-crystal-based superlens," Physical Review Letters, Vol. 91, No. 20, 207401, 2003.
doi:10.1103/PhysRevLett.91.207401

12. Shvets, G., "Photonic approach to making a material with a negative index of refraction," Physical Review B, Vol. 67, 035109, 2003.
doi:10.1103/PhysRevB.67.035109

13. Caloz, C., A. Sanada, and T. Itoh, "Microwave applications of transmission-line based negative refractive index structures," Asia-Pacific Microwave Conference Proceedings, No. 11, 2003.

14. Eleftheriades, G. V., A. K. Iyer, and P. C. Kremer, "Planar negative refractive index media using periodically l-c loaded transmission lines," IEEE Trans. Microwave Theory and Techniques, Vol. 50, No. 12, 2702-2712, 2002.
doi:10.1109/TMTT.2002.805197

15. Oliner, A. A., "A planar negative-refractive-index medium without resonant elements," Microwave Symposium Digest, Vol. 1, 191-194, 2003.

16. Shelby, R. A., D. R. Smith, S. C. Nemat-Nasser, and S. Schultz, "Microwave transmission through a two-dimensional, isotropic, left-handed metamaterial," Applied Physics Letters, Vol. 78, No. 4, 489-491, 2001.
doi:10.1063/1.1343489

17. Gay-Balmaz, P. and O. J. F. Martin, "Efficient isotropic magnetic resonators," Applied Physics Letters, Vol. 81, No. 5, 939-941, 2001.
doi:10.1063/1.1496507

18. Tretyakov, S. A., "Meta-materials with wideband negative permittivity and permeability," Microwave and Optical Technology Letters, Vol. 31, No. 9, 163-165, 2001.
doi:10.1002/mop.1387

19. Grbic, A. and G. V. Eleftheriades, "Periodic analysis of a 2-D negative refractive index transmission line structure," IEEE Trans. Antennas Propagation, Vol. 51, No. 10, 2604-2611, 2003.
doi:10.1109/TAP.2003.817543

20. Gay-Balmaz, P. and O. J. F. Martin, "Electromagnetic resonances in individual and coupled split-ring resonators," Journal of Applied Physics, Vol. 92, No. 5, 2929-2936, 2002.
doi:10.1063/1.1497452

21. Kong, J. A., "Theorems of bianisotropic media," Proceedings of the IEEE, Vol. 60, No. 9, 1036-1046, 1972.

22. Collin, R. E., Field Theory of Guided Waves, Chapter 12, IEEE Press, New York, 1991.

23. Ishimaru, A., S.-W. Lee, Y. Kuga, and V. Jandhyala, "Generalized constitutive relations for metamaterials based on the quasi-static lorentz theory," IEEE Trans. Antennas Propagation, Vol. 51, No. 10, 2550-2557, 2003.
doi:10.1109/TAP.2003.817565

24. Collin, R. E., Field Theory of Guided Waves, The 2nd edition, IEEE Press, Piscataway, New Jersey, 1991.

25. Song, J. M. and W. C. Chew, "Moment method solutions using parametric geometry," Journal of Electromagnetic Waves and Applications, Vol. 9, No. 1/2, 71-83, 1995.

26. Ishimaru, A., S.-W. Lee, Y. Kuga, and V. Jandhyala, "Computation of generalized constitutive relations for metamaterials," Proceeding of International Symposium on Antennas and Propagation, Vol. I-02, 177-180, 2002.

27. Kong, J. A., "Electromagnetic wave interaction with stratified negative isotropic media," Progress in Electromagnetics Research, Vol. 35, 1-52, 2002.
doi:10.1159/000060803


© Copyright 2014 EMW Publishing. All Rights Reserved