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Extremely Sub-Wavelength Negative Index Metamaterial

By Xu Zhang, Elvis Usi, Suhail K. Khan, Mehdi Sadatgol, and Durdu Oe Guney
Progress In Electromagnetics Research, Vol. 152, 95-104, 2015


We present an extremely sub-wavelength negative index metamaterial structure operating at radio frequency. The unit cell of the metamaterial consists of planar spiral and meandering wire structures separated by dielectric substrate. The ratio of the free space wavelength to unit cell size in the propagation direction is record breaking 1733 around the resonance frequency. The proposed metamaterial also possesses the most extreme refractive index of -109 that has been recorded to date. Underlying magnetic and electric response originate from the spiral and meandering wire, respectively. We show that the meandering wire is the key element to improve the transparency of the negative index metamaterial.


Xu Zhang, Elvis Usi, Suhail K. Khan, Mehdi Sadatgol, and Durdu Oe Guney, "Extremely Sub-Wavelength Negative Index Metamaterial," Progress In Electromagnetics Research, Vol. 152, 95-104, 2015.


    1. Walser, R. M., "Electromagnetic metamaterials," Complex Mediums II: Beyond Linear Isotropic Dielectrics, A. Lakhtakia, W. S. Weiglhofer, and I. J. Hodgkinson, eds., Proc. SPIE, Vol. 4467, 1-15, 2001.

    2. Cai, W. and V. Shalaev, Optical Metamaterials: Fundamentals and Applications, Academic, 2010.

    3. Veselago, V. G., "The electrodynamics of substances with simultaneously negative values of ε and μ," Sov. Usp., Vol. 10, 509-514, 1968.

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

    5. Jacob, Z., L. V. Alekseyev, and E. Narimanov, "Optical hyperlens: Far-field imaging beyond the diffraction limit," Opt. Express, Vol. 14, 8247-8256, 2006.

    6. Liu, Z., H. Lee, Y. Xiong, C. Sun, and X. Zhang, "Far-field optical hyperlens magnifying sub-diffraction-limited objects," Science, Vol. 315, 1686, 2007.

    7. Zhang, X. and Z. Liu, "Superlenses to overcome the diffraction limit," Nat. Mater., Vol. 7, 435-441, 2008.

    8. Rho, J., Z. Ye, Y. Xiong, X. Yin, Z. Liu, H. Choi, G. Bartal, and X. Zhang, "Spherical hyperlens for two-dimensional sub-diffractional imaging at visible frequencies," Nat. Commun., Vol. 1, 143, 2010.

    9. Pendry, J. B., D. Schurig, and D. R. Smith, "Controlling electromagnetic fields," Science, Vol. 312, 1780-1782, 2006.

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

    11. 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.

    12. Landy, N. I., S. Sajuyigbe, J. J. Mock, D. R. Smith, and W. J. Padilla, "Perfect metamaterial absorber," Phys. Rev. Lett., Vol. 100, 207402, 2008.

    13. Aydin, K., V. E. Ferry, R. M. Briggs, and H. A. Atwater, "Broadband polarization-independent resonant light absorption using ultrathin plasmonic super absorbers," Nature Commun., Vol. 2, 517, 2011.

    14. Guney, D. O. and D. A. Meyer, "Negative refraction gives rise to the Klein paradox," Phys. Rev. A, Vol. 79, 063834, 2009.

    15. Smolyaninov, I. I. and E. E. Narimanov, "Metric signature transitions in optical metamaterials," Phys. Rev. Lett., Vol. 105, 067402, 2010.

    16. Bulu, I., H. Caglayan, K. Aydin, and E. Ozbay, "Compact size highly directive antennas based on the SRR metamaterial medium," New J. Phys., Vol. 7, 223, 2005.

    17. Odabasi, H., F. Teixeira, and D. O. Guney, "Electrically small, complementary electric-field-coupled resonator antennas," J. Appl. Phys., Vol. 113, 084903, 2013.

    18. Vora, A., J. Gwamuri, N. Pala, A. Kulkarni, J. M. Pearce, and D. O. Guney, "Exchanging ohmic losses in metamaterial absorbers with useful optical absorption for photovoltaics," Sci. Rep., Vol. 4, 4901, 2014.

    19. Aslam, M. I. and D. O. Guney, "On negative index metamaterial spacers and their unusual optical properties," Progress In Electromagnetics Research B, Vol. 47, 203-217, 2013.

    20. Valentine, J., S. Zhang, T. Zentgraf, E. Ulin-Avila, D. A. Genov, G. Bartal, and X. Zhang, "Three-dimensional optical metamaterial with a negative refractive index," Nature, Vol. 455, 376-379, 2008.

    21. Guney, D. O., Th. Koschny, M. Kafesaki, and C. M. Soukoulis, "Connected bulk negative index photonic metamaterials," Opt. Lett., Vol. 34, 506-508, 2009.

    22. Guney, D. O., Th. Koschny, and C. M. Soukoulis, "Intra-connected three-dimensionally isotropic bulk negative index photonic metamaterial," Opt. Express, Vol. 18, 12348-12353, 2010.

    23. Garcia-Meca, C., J. Hurtado, J. Marti, A. Martinez, W. Dickson, and A. V. Zayats, "Low-loss multilayered metamaterial exhibiting a negative index of refraction at visible wavelengths," Phys. Rev. Lett., Vol. 106, 067402, 2011.

    24. Aslam, M. I. and D. O. Guney, "Surface plasmon driven scalable low-loss negative-index metamaterial in the visible spectrum," Phys. Rev. B, Vol. 84, 195465, 2011.

    25. Aslam, M. I. and D. O. Guney, "Dual band double-negative polarization independent metamaterial for the visible spectrum," J. Opt. Soc. Am. B, Vol. 29, 2839-2847, 2012.

    26. Chen, W.-C., C. M. Bingham, K. M. Mak, N. W. Caira, and W. J. Padilla, "Extremely sub-wavelength planar magnetic metamaterials," Phys. Rev. B, Vol. 85, 201104, 2012.

    27. Decker, M., I. Staude, I. I. Shishkin, K. B. Samusev, P. Parkinson, V. K. A. Sreenivasan, A. Minovich, A. E. Miroshnichenko, A. Zvyagin, C. Jagadish, D. N. Neshev, and Y. S. Kivshar, "Dual-channel spontaneous emission of quantum dots in magnetic metamaterials," Nat. Commun., Vol. 4, 2949, 2013.

    28. Plum, E., V. A. Fedotov, P. Kuo, D. P. Tsai, and N. I. Zheludev, "Towards the lasing spaser: Controlling metamaterial optical response with semiconductor quantum dots," Opt. Express, Vol. 17, 8548-8551, 2009.

    29. Moritake, Y., K. Nakayama, T. Suzuki, H. Kurosawa, T. Kodama, S. Tomita, H. Yanagi, and T. Ishihara, "Lifetime reduction of a quantum emitter with quasiperiodic metamaterials," Phys. Rev. B, Vol. 90, 075146, 2014.

    30. Benz, A., S. Campione, S. Liu, I. Montaño, J. F. Klem, A. Allerman, J. R.Wendt, M. B. Sinclair, F. Capolino, and I. Brener, "Strong coupling in the sub-wavelength limit using metamaterial nanocavities," Nat. Commun., Vol. 4, 2882, 2013.

    31. Guney, D. O. and D. A. Meyer, "Creation of entanglement and implementation of quantum logic gate operations using a three-dimensional photonic crystal single-mode cavity," J. Opt. Soc. Am. B, Vol. 24, 283-294, 2007.

    32. Guney, D. O. and D. A. Meyer, "Integrated conditional teleportation and readout circuit based on a photonic crystal single chip," J. Opt. Soc. Am. B, Vol. 24, 391-397, 2007.

    33. Brune, M., F. Schmidt-Kaler, A. Maali, J. Dreyer, E. Hagley, J. M. Raimond, and S. Haroche, "Quantum Rabi oscillation: A direct test of field quantization in a cavity," Phys. Rev. Lett., Vol. 76, 1800, 1996.

    34. Brune, M., E. Hagley, J. Dreyer, X. Maitre, A. Maali, C. Wunderlich, J. M. Raimond, and S. Haroche, "Observing the progressive decoherence of the ``meter'' in a quantum measurement," Phys. Rev. Lett., Vol. 77, 4887, 1996.

    35. Turchette, Q. A., D. Kielpinski, B. E. King, D. Leibfreid, D. M. Meekhof, C. J. Myatt, M. A. Rowe, C. A. Sackett, C. S. Wood, W. M. Itano, C. Monroe, and D. J. Wineland, "Heating of trapped ions from the ground state," Phys. Rev. A, Vol. 61, 063418, 2000.

    36. Raimond, J. M., M. Brune, and S. Haroche, "Manipulating quantum entanglement with atoms and photons in a cavity," Rev. Mod. Phys., Vol. 73, 565, 2001.

    37. Vandersypen, L. M. K., M. Steffen, G. Breyta, C. S. Yannoni, M. H. Sherwood, and I. L. Chuang, "Experimental realization of Shor’s quantum factoring algorithm using nuclear magnetic resonance," Nature, Vol. 414, 883, 2001.

    38. Kielpinski, D., C. Monroe, and D. J. Wineland, "Architecture for a large-scale ion-trap quantum computer," Nature, Vol. 417, 709, 2002.

    39. Vandersypen, L. M. K. and I. L. Chuang, "NMR techniques for quantum control and computation," Rev. Mod. Phys., Vol. 76, 1037, 2005.

    40. Ospelkaus, C., U. Warring, Y. Colombe, K. R. Brown, J. M. Amini, D. Leibfreid, and D. J. Wineland, "Microwave quantum logic gates for trapped ions," Nature, Vol. 476, 181, 2011.

    41. Smith, D. R., S. Schultz, P. Markos, and C. M. Soukoulis, "Determination of effective permittivity and permeability of metamaterials from reflection and transmission coefficients," Phys. Rev. B, Vol. 65, 195104, 2002.

    42. Menzel, C., C. Rockstuhl, T. Paul, F. Lederer, and T. Pertsch, "Retrieving effective parameters for metamaterials at oblique incidence," Phys. Rev. B, Vol. 77, 195328, 2008.

    43. Koschny, Th., P. Markos, E. N. Economou, D. R. Smith, D. C. Vier, and C. M. Soukoulis, "Impact of inherent periodic structure on effective medium description of left-handed and related metamaterials," Phys. Rev. B, Vol. 71, 245105, 2005.

    44. Zhen, L., J. T. Jiang, W. Z. Shao, and C. Y. Xu, "Resonance-antiresonance electromagnetic behavior in a disordered dielectric composite," Appl. Phys. Lett., Vol. 90, 142907, 2007.

    45. Smigaj, W. and B. Gralak, "Validity of the effective-medium approximation of photonic crystals," Phys. Rev. B, Vol. 77, 235445, 2008.

    46. Tserkezis, C., "Effective parameters for periodic photonic structures of resonant elements," J. Phys: Condens. Matter, Vol. 21, 155404, 2009.

    47. Ludwig, A. and K. J. Webb, "Accuracy of effective medium parameter extraction procedures for optical metamaterials," Phys. Rev. B, Vol. 81, 113103, 2010.

    48. Alu, A., "Restoring the physical meaning of metamaterial constitutive parameters,", arXiv:1012.1353, Submitted on Dec. 6, 2010.

    49. Alu, A., "First-principles homogenization theory for periodic metamaterials," Phys. Rev. B, Vol. 84, 075153, 2011.

    50. Kolb, P. W., T. S. Salter, J. A. McGee, H. D. Drew, and W. J. Padilla, "Extreme subwavelength electric GHz metamaterials," J. Appl. Phys., Vol. 110, 054906, 2011.

    51. Erentok, A., R. W. Ziolkowski, J. A. Nielsen, R. B. Greegor, C. G. Parazzoli, M. H. Tanielian, S. A. Cummer, B. Popa, T. Hand, D. C. Vier, and S. Schultz, "Lumped element-based, highly sub-wavelength, negative index metamaterials at UHF frequencies," J. Appl. Phys., Vol. 104, 034901, 2008.

    52. Choi, M., S. H. Lee, Y. Kim, S. B. Kang, J. Shin, M. H. Kwak, K.-Y. Kang, Y.-H. Lee, N. Park, and B. Min, "A terahertz metamaterial with unnaturally high refractive index," Nature, Vol. 470, 369-373, 2011.

    53. Zhang, X., S. Debnath, and D. O. Guney, "Hyperbolic metamaterial feasible for fabrication with direct laser writing processes," J. Opt. Soc. Am. B, Vol. 32, 1013-1021, 2015.

    54. Rill, M. S., C. Plet, M. Thiel, I. Staude, G. von Freymann, S. Linden, and M. Wegener, "Photonic metamaterials by direct laser writing and silver chemical vapour deposition," Nat. Mater., Vol. 7, 543-546, 2008.

    55. 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.

    56. Rill, M. S., C. E. Kriegler, M. Thiel, G. von Freymann, S. Linden, and M. Wegener, "Negative-index bianisotropic photonic metamaterial fabricated by direct laser writing and silver shadow evaporation," Opt. Lett.,, Vol. 34, 19-21, 2009.

    57. Guney, D. O., Th. Koschny, and C. M. Soukoulis, "Reducing ohmic losses in metamaterials by geometric tailoring," Phys. Rev. B, Vol. 80, 125129, 2009.

    58. Zhang, S., W. Fan, K. J. Malloy, S. R. J. Brueck, N. C. Panoiu, and R. M. Osgood, "Near-infrared double negative metamaterials," Opt. Express, Vol. 13, 4922-4930, 2005.

    59. Economou, E. N., Th. Koschny, and C. M. Soukoulis, "Strong diamagnetic response of in split-ringresonator metamaterials: Numerical study and two-loop model," Phys. Rev. B, Vol. 77, 092401, 2008.

    60. Penciu, R. S., K. Aydin, M. Kafesaki, Th. Koschny, E. Ozbay, E. N. Economou, and C. M. Soukoulis, "Multi-gap individual and coupled split-ring resonator structures," Opt. Express, Vol. 16, 18131-18144, 2008.

    61. Qin, G., J.-F. Wang, M.-B. Yan, W. Chen, H.-Y. Chen, and Y.-F. Li, "Lowering plasma frequency by enhancing the effective mass of electrons: A route to deep sub-wavelength metamaterials," Chin. Phys. B, Vol. 22, 087302, 2013.