volume | PIER Journals

Abstract

We propose two metamaterials with sub-wavelength double-slots --- single-side double-slot metamaterial and double-side double-slot metamaterial. The dependence of the electromagnetic resonances and local intensity enhancements on the structural parameters is studied by the finite-difference time-domain technique and the finite element method. Results show that the central-arm of a double-slot structure strongly influences frequency and local intensities at both high- and low-frequency resonances. Very strong field localization can be achieved at the high-frequency resonance and its particular distribution can be well controlled by the width of the central-arm. A double-side double-slot structure can be utilized to separately enhance the high-frequency resonance, while suppressing the low-frequency resonance. The simulation results are discussed in terms of plasmon resonances.

1. Joannopoulos, J. D., Photonic Crystals: Molding the Flow of Light, Princeton University Press, 1995.

2. Shalaev, V. M., W. Cai, U. K. Chettiar, H. K. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, "Negative index of refraction in optical metamaterials," Opt. Lett., Vol. 30, 3356-3358, 2005.
doi:10.1364/OL.30.003356 Google Scholar

3. Dolling, G., C. Enkrich, M. Wegener, J. F. Zhou, C. M. Soukoulis, and S. Linden "Cut-wire pairs and plate pairs as magnetic atoms for optical metamaterials," Opt. Lett., Vol. 30, 3198-3200, 2005.
doi:10.1364/OL.30.003198 Google Scholar

4. 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 Google Scholar

5. Sabah, C., "Tunable metamaterial design composed of triangular split ring resonator and wire strip for S- and C- microwave bands," Progress In Electromagnetics Research B, Vol. 22, 341-357, 2010.
doi:10.2528/PIERB10051705 Google Scholar

6. 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, 2943-2945, 2004.
doi:10.1063/1.1695439 Google Scholar

7. Katsarakis, N., G. Konstantinidis, A. Kostopoulos, R. S. Penciu, T. F. Gundogdu, M. Kafesaki, E. N. Economou, T. Koschny, and C. M. Soukoulis, "Magnetic response of split-ring resonators in the far-infrared frequency regime," Opt. Lett., Vol. 30, 1348-1350, 2005.
doi:10.1364/OL.30.001348 Google Scholar

8. Linden, S., C. Enkrich, M. Wegener, J. F. 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 Google Scholar

9. Marqués, R., F. Martín, and M. Sorolla, Metamaterials with Negative Parameters, Wiley, New York, 2008.

10. Solymar, L. and E. Shamonina, Waves in Metamaterials, Oxford University, New York, 2009.

11. Zeng, Y., C. Dineen, and J. V. Moloney, "Magnetic dipole moments in single and coupled split-ring resonators," Phys. Rev. B, Vol. 81, 075116, 2010.
doi:10.1103/PhysRevB.81.075116 Google Scholar

12. Gansel, J. K., M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. von Freymann, S. Linden, and M. Wegener, "Gold helix photonic metamaterial as broadband circular polarizer," Science, Vol. 325, 1513-1515, 2009.
doi:10.1126/science.1177031 Google Scholar

13. Liu, N., H. Liu, S. Zhu, and H. Giessen, "Stereometamaterials," Nat. Photonics, Vol. 3, 157-162, 2009.
doi:10.1038/nphoton.2009.4 Google Scholar

14. Sersic, I., M. Frimmer, E. Verhagen, and A. F. Koenderink, "Electric and magnetic dipole coupling in near-infrared split-ring metamaterial arrays," Phys. Rev. Lett., Vol. 103, 213902, 2009.
doi:10.1103/PhysRevLett.103.213902 Google Scholar

15. Smith, D. R., J. B. Pendry, and M. C. K. Wiltshire, "Metamaterials and negative refractive index," Science, Vol. 305, 788-792, 2004.
doi:10.1126/science.1096796 Google Scholar

16. Houck, A. A., J. B. Brock, and I. L. Chuang, "Experimental observations of a left-handed material that obeys Snell's law," Phys. Rev. Lett., Vol. 90, 137401, 2003.
doi:10.1103/PhysRevLett.90.137401 Google Scholar

17. Seddon, N. and T. Bearpark, "Observation of the inverse Doppler effect," Science, Vol. 302, 1537-1540, 2003.
doi:10.1126/science.1089342 Google Scholar

18. Lu, J., T. M. Grzegorczyk, Y. Zhang, J. Pacheco, B. I. Wu, J. A. Kong, and M. Chen, "Cerenkov radiation in materials with negative permittivity and permeability," Opt. Express, Vol. 11, 723-734, 2003.
doi:10.1364/OE.11.000723 Google Scholar

19. Duan, Z.-Y., B.-I. Wu, S. Xi, H. Chen, and M. Chen, "Research progress in reversed cherenkov radiation in double-negative metamaterials," Progress In Electromagnetics Research, Vol. 90, 75-87, 2009.
doi:10.2528/PIER08121604 Google Scholar

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

21. Schurig, D., J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, and D. R. Smith, "Metamaterial electromagnetic cloak at microwave frequencies," Science, Vol. 314, 977-980, 2006.
doi:10.1126/science.1133628 Google Scholar

22. Leonhardt, U., "Optical conformal mapping," Science, Vol. 312, 1777-1780, 2006.
doi:10.1126/science.1126493 Google Scholar

23. Navarro-Cia, M., J. M. Carrasco, M. Beruete, and F. J. Falcone, "Ultra-wideband metamaterial filter based on electroinductive-wave coupling between microstrips," Progress In Electromagnetics Research Letters, Vol. 12, 141-150, 2009.
doi:10.2528/PIERL09102106 Google Scholar

24. NaghshvarianJahromi, M., "Novel compact meta-material tunable quasi elliptic band-pass filter using microstrip to slotline transition," Journal of Electromagnetic Waves and Applications, Vol. 24, No. 17-18, 2371-2382, 2010.
doi:10.1163/156939310793675808 Google Scholar

25. Rahm, M., D. Schurig, D. A. Roberts, S. A. Cummer, D. R. Smith, and J. B. Pendry, "Design of electromagnetic cloaks and concentrators using form-invariant coordinate transformations of Maxwell's equations," Photonics Nanostruct. Fundam. Appl., Vol. 6, 87-95, 2008.
doi:10.1016/j.photonics.2007.07.013 Google Scholar

26. Kwon, D.-H. and D. H. Werner, "Transformation optical designs for wave collimators, flat lenses and right-angle bends," New J. Phys., Vol. 10, 115023, 2008.
doi:10.1088/1367-2630/10/11/115023 Google Scholar

27. Zharov, A., I. V. Shadrivov, and Y. S. Kivshar, "Nonlinear properties of left-handed metamaterials," Phys. Rev. Lett., Vol. 91, 037401, 2003.
doi:10.1103/PhysRevLett.91.037401 Google Scholar

28. Liu, Y., G. Bartal, D. A. Genov, and X. Zhang, "Subwavelength discrete solitons in nonlinear metamaterials," Phys. Rev. Lett., Vol. 99, 153901, 2007.
doi:10.1103/PhysRevLett.99.153901 Google Scholar

29. Chen, S., L. Han, A. Schülzgen, H. Li, L. Li, J. V. Moloney, and N. Peyghambarian, "Local electric field enhancement and polarization effects in a surface-enhanced raman scattering fiber sensor with chessboard nanostructure," Opt. Express, Vol. 16, 13016-13023, 2008.
doi:10.1364/OE.16.013016 Google Scholar

30. Zeng, Y., Q. Wu, and D. H. Werner, "Electrostatic theory for designing lossless negative permittivity metamaterials," Opt. Lett., Vol. 35, 1431-1433, 2010.
doi:10.1364/OL.35.001431 Google Scholar

31. Klein, M. W., C. Enkrich, M. Wegener, and S. Linden, "Second-harmonic generation from magnetic metamaterials," Science, Vol. 313, 502-504, 2006.
doi:10.1126/science.1129198 Google Scholar

32. Taflove, A. and S. C. Hagness, Computational Electrodynamics --- The Finite-difference Time-domain Method, Artech House, Boston, 2005.

33. Palik, E. D., Handbook of Optical Constants of Solids, Academic, New York, 1985.

34. Ditlbacher, H., A. Hohenau, D. Wagner, U. Kreibig, M. Rogers, F. Hofer, F. R. Aussenegg, and J. R. Krenn, "Silver nanowires as surface plasmon resonators," Phys. Rev. Lett., Vol. 95, 257403, 2005.
doi:10.1103/PhysRevLett.95.257403 Google Scholar

35. Rockstuhl, C., F. Lederer, C. Etrich, T. Zentgraf, J. Kuhl, and H. Giessen, "On the reinterpretation of resonances in split-ring-resonators at normal incidence," Opt. Express, Vol. 14, 8827-8836, 2006.
doi:10.1364/OE.14.008827 Google Scholar

36. Rockstuhl, C., T. Zentgraf, H. Guo, N. Liu, C. Etrich, I. Loa, K. Syassen, J. Kuhl, F. Lederer, and H. Giessen, "Resonances of split-ring resonator metamaterials in the near infrared," Appl. Phys. B, Vol. 84, 219-227, 2006.
doi:10.1007/s00340-006-2205-2 Google Scholar

37. Szabó, Z., G.-H. Park, R. Hedge, and E.-P. Li, "A unique extraction of metamaterial parameters based on kramers-kronig relationship," IEEE T. Microw. Theory, Vol. 58, 2646-2653, 2010.
doi:10.1109/TMTT.2010.2065310 Google Scholar

Dr. Lin Han

Dr. Shuqi Chen

Dr. Axel Schulzgen

Dr. Yong Zeng

Dr. Feng Song

Prof. Jian-Guo Tian

Dr. Nasser Peyghambarian