Vol. 113

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Calculation and Optimization of Electromagnetic Resonances and Local Intensity Enhancements for Plasmon Metamaterials with Sub-Wavelength Double-Slots

By Lin Han, Shuqi Chen, Axel Schulzgen, Yong Zeng, Feng Song, Jian-Guo Tian, and Nasser Peyghambarian
Progress In Electromagnetics Research, Vol. 113, 161-177, 2011


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.


Lin Han, Shuqi Chen, Axel Schulzgen, Yong Zeng, Feng Song, Jian-Guo Tian, and Nasser Peyghambarian, "Calculation and Optimization of Electromagnetic Resonances and Local Intensity Enhancements for Plasmon Metamaterials with Sub-Wavelength Double-Slots," Progress In Electromagnetics Research, Vol. 113, 161-177, 2011.


    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.

    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.

    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.

    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.

    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.

    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.

    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.

    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.

    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.

    13. Liu, N., H. Liu, S. Zhu, and H. Giessen, "Stereometamaterials," Nat. Photonics, Vol. 3, 157-162, 2009.

    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.

    15. Smith, D. R., J. B. Pendry, and M. C. K. Wiltshire, "Metamaterials and negative refractive index," Science, Vol. 305, 788-792, 2004.

    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.

    17. Seddon, N. and T. Bearpark, "Observation of the inverse Doppler effect," Science, Vol. 302, 1537-1540, 2003.

    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.

    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.

    20. Pendry, J. B., "Negative refraction makes a perfect lens," Phys. Rev. Lett., Vol. 85, 3966-3969, 2000.

    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.

    22. Leonhardt, U., "Optical conformal mapping," Science, Vol. 312, 1777-1780, 2006.

    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.

    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.

    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.

    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.

    27. Zharov, A., I. V. Shadrivov, and Y. S. Kivshar, "Nonlinear properties of left-handed metamaterials," Phys. Rev. Lett., Vol. 91, 037401, 2003.

    28. Liu, Y., G. Bartal, D. A. Genov, and X. Zhang, "Subwavelength discrete solitons in nonlinear metamaterials," Phys. Rev. Lett., Vol. 99, 153901, 2007.

    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.

    30. Zeng, Y., Q. Wu, and D. H. Werner, "Electrostatic theory for designing lossless negative permittivity metamaterials," Opt. Lett., Vol. 35, 1431-1433, 2010.

    31. Klein, M. W., C. Enkrich, M. Wegener, and S. Linden, "Second-harmonic generation from magnetic metamaterials," Science, Vol. 313, 502-504, 2006.

    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.

    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.

    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.

    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.