volume | PIER Journals

Abstract

Novel isotropic planar and three-dimensional negative refractive index (NRI) metamaterial (MTM) designs consisting of periodically arranged cross structures are developed in the terahertz (THz) frequency regime using group theory. The novel designs not only avoid magnetoelectric coupling but also enable a simplified fabrication process. Using Finite-difference Time-Domain (FDTD) simulations, the design exhibits an NRI passband which is in good agreement with the S-parameters obtained from Fresnels equation. Cross-polarized fields are used to characterize the magnetoelectric coupling mechanism and determination of material properties of the medium via group theory aid in the characterization of the isotropy of the structure. Numerical simulations of a wedge composed of the proposed metamaterials prove the negative refractive index of the models.

1. Pendry, J. B., "Negative refraction makes a perfect lens," Phys. Rev. Lett., Vol. 85, 3966-3969, 2000.
doi:10.1103/PhysRevLett.85.3966

2. Engheta, N., "An idea for thin, subwavelength cavity resonators using metamaterials with negative permittivity and permeability," IEEE Antennas and Wireless Propagation Letters, Vol. 1, No. 1, 10-13, 2002.
doi:10.1109/LAWP.2002.802576

3. Marques, R., F. Medina, and R. Rafii-El-Idrissi, "Role of bianisotropy in negative permeability and left-handed metamaterials," Phys. Rev. B., Vol. 65, No. 4, 144440, 2002.
doi:10.1103/PhysRevB.65.144440

4. Yen, T. J., W. J. Padilla, N. Fang, D. C. Vier, D. R. Smith, J. B. Pendry, D. N. Basov, and X. Zhang, "Terahertz magnetic response from artificial materials," Science, Vol. 303, 1494-1496, 2004.
doi:10.1126/science.1094025

5. Linden, S., C. Enkrich, M. Wegener, J. Zhou, T. Koschny, and C. M. Soukoulis, "Magnetic response of metamaterials at 100 terahertz," Science, Vol. 306, 1351-1353, 2004.
doi:10.1126/science.1105371

6. Aydin, K., K. Guven, M. Kafesaki, L. Zhang, C. M. Soukoulis, and E. Ozbay, "Experimental observation of true left-handed transmission peaks in metamaterials," Optics Letters, Vol. 29, No. 22, 2623-2625, 2004.
doi:10.1364/OL.29.002623

7. Koschny, Th., L. Zhang, and C. M. Soukoulis, "Isotropic threedimensional left-handed metamaterials," Phys. Rev. B., Vol. 71, No. 12, 121103, 2005.
doi:10.1103/PhysRevB.71.121103

8. 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, 2075-2084, 1999.
doi:10.1109/22.798002

9. GarcÃa-GarcÃa, J., F. MartÃn, J. D. Baena, R. Marques, and L. Jelinek, "On the resonances and polarizabilities of split ring resonators," J. Appl. Phys., Vol. 98, No. 3, 033103, 2005.
doi:10.1063/1.2006224

10. Gay-Balmaz, P., C. Maccio, and O. J. F. Martin, "Microwire arrays with plasmonic response at microwave frequencies," Appl. Phys. Lett., Vol. 81, No. 15, 2896-2898, 2002.
doi:10.1063/1.1513663

11. Katsarakis, N., T. Koschny, M. Kafesaki, E. N. Economou, and C. M. Soukoulis, "Electric coupling to the magnetic resonance of split ring resonators," Appl. Phys. Lett., Vol. 84, No. 15, 2943-2945, 2004.
doi:10.1063/1.1695439

12. Kafesaki, M., Th. Koschny, R. S. Penciu, T. F. Gundogdu, E. N. Economou, and C. M. Soukoulis, "Left-handed metamaterials: detailed numerical studies of the transmission properties," J. Opt. A: Pure Appl. Opt., No. 7, 12, 2005.
doi:10.1088/1464-4258/7/2/002

13. Padilla, W. J., "Group theoretical description of artificial magnetic metamaterials utilized for negative index refraction," http://xxx.lanl.gov/abs/cond-mat/0508307., 0508.

14. Baena, J. D., L. Jelinek, R. Marques, and J. Zehentner, "Electrically small isotropic three-dimensional magnetic resonators for metamaterial design," Appl. Phys. Lett., Vol. 88, 134108, 2006.
doi:10.1063/1.2190442

15. Marques, R., J. Martel, F. Mesa, and F. Medina, "A new 2D isotropic left-handed metamaterial design: theory and experiment," Microwave and Opt. Tech. Lett., Vol. 35, 2002.

16. Shelby, R., D. R. Smith, and S. Schultz, "Experimental verification of a negative index of refraction," Science, Vol. 292, 2001.
doi:10.1126/science.1058847

17. Ferraro, J. R., Introductory Group Theory, Plenum Press, New York, USA, 1969.

18. Carter, R. L., Molecular Symmetry and Group Theory, John Wiley & Sons, New York, USA, 1998.

19. Hatfield, W. E. and W. E. Parker, Symmetry in Chemical Bonding and Structure, Charles E. Merrill, Ohio, USA, 1974.

20. Smith, D. R., W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schultz, "A composite medium with simultaneously negative permeability and permittivity," Phys. Rev. Lett., Vol. 84, 4184-4187, 2000.
doi:10.1103/PhysRevLett.84.4184

21. Moss, C. D., T. M. Grzegorczyk, Y. Zhang, and J. A. Kong, "Numerical studies of left-handed metamaterials," Progress In Electromagnetics Research, Vol. PIER 35, 316-333, 2002.
doi:10.2528/PIER02052409

22. Katsarakis, N., T. Koshny, M. Kafesaki, E. N. Economou, E. Ozbay, and C. M. Soukoulis, "Left-and right-handed transmission peaks near the magnetic resonance frequency in composite metamaterials," Phys. Rev. B., Vol. 70, 2004.
doi:10.1103/PhysRevB.70.201101

23. Zhang, S., W. Fan, N. C. Panoiu, K. J. Malloy, R. M. Osgood, and S. R. J. Brueck, "Experimental demonstration of near-infrared negative-index metamaterials," Phys. Rev. Lett., Vol. 95, 137404, 2005.
doi:10.1103/PhysRevLett.95.137404

24. Lindell, I. V., et al. Electromagnetic Waves in Chiral and Bi- Isotropic Media, Artech House, Boston, 1994.

25. Sihvola, A., Electromagnetic Mixing Formulas and Applications, T. J. Internation, Padstow, Cornwall, 1999.

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

27. Bridgeman, A., http://www.hull.ac.uk/php/chsajb/symmetry/.

28. Kettle, S. F. A., Symmetry and Structure, John Wiley & Sons, West Sussex, England, 1995.

29. Wongkasem, N.A. Akyurtlu, J. Li, A. Tibolt, Z. Kang, and W. D. Goodhue, "Computational and experimental analysis of thz double negative metamaterials,'' Special Session on Smart EM materials and applications," 2005 IEEE AP-S International Symposium and USNC/URSI National Radio Science Meeting, 3-8, 2005.

30. Jenkins, F. A. and H. E. White, Fundamentals of Optics, 4E, McGraw-Hill, 1976.

Dr. Nantakan Wongkasem

Dr. Alkim Akyurtlu

Dr. Kenneth Marx