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Effects of anisotropic disorder in an optical metamaterial

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Abstract

We consider the effect of disorder in one transverse dimension, termed anisotropic disorder, on the optical properties of a metamaterial consisting of cut-wire-pair meta-atoms. The work comprises experimental and numerical studies. The appropriate samples were fabricated and their optical properties quantified in the far-field. For comparison large-scale rigorous numerical simulations were performed. We observe excellent agreement between experiment and theory. Based on our results we reveal how the electric dipole interactions between adjacent meta-atoms affect the overall spectral response of the metamaterial. Our main observation is a polarization-sensitive degradation of the symmetric resonance for anisotropic disorder.

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References

  1. N. Engheta, R. Ziolkowski, Metamaterials: Physics and Engineering Explorations (Wiley/IEEE Press, New York, 2006)

    Google Scholar 

  2. C.  Helgert, C. Menzel, C. Rockstuhl, E. Pshenay-Severin, E.-B. Kley, A. Chipouline, A. Tünnermann, F. Lederer, T. Pertsch, Polarization-independent negative-index metamaterial in the near infrared. Opt. Lett. 34(5), 704–706 (2009)

    Article  ADS  Google Scholar 

  3. T. Paul, C. Rockstuhl, F. Lederer, Advanced optical metamaterials. Adv. Mater. 22, 2354–2357 (2010)

    Article  Google Scholar 

  4. N. Shalkevich, A. Shalkevich, L. Si-Ahmed, T. Bürgi, Reversible formation of gold nanoparticle–surfactant composite assemblies for the preparation of concentrated colloidal solutions. Phys. Chem. Chem. Phys. 11, 10175–10179 (2009)

    Article  Google Scholar 

  5. T. Pakizeh, A. Dmitriev, M.S. Abrishamian, N. Granpayeh, M. Käll, Structural asymmetry and induced optical magnetism in plasmonic nanosandwiches. J. Opt. Soc. Am. B 25(4), 659–667 (2008)

    Article  ADS  Google Scholar 

  6. D. Pawlak, S. Turczynski, M. Gajc, K. Kolodziejak, R. Diduszko, K. Rozniatowski, J. Smalc, I. Vendik, How far are we from making metamaterials by self-organization? The microstructure of highly anisotropic particles with an SRR-like geometry. Adv. Funct. Mater. 20, 1116–1124 (2010)

    Article  Google Scholar 

  7. J. Fan, C. Wu, K. Bao, J. Bao, R. Bardhan, N. Halas, V. Manoharan, P. Nordlander, G. Shvets, F. Capasso, Self-assembled plasmonic nanoparticle clusters. Science 328, 1135–1138 (2010)

    Article  ADS  Google Scholar 

  8. K. Aydin, K. Guven, N. Katsarakis, C. Soukoulis, E. Ozbay, Effect of disorder on magnetic resonance band gap of split-ring resonator structures. Opt. Express 12(24), 5896–5901 (2004)

    Article  ADS  Google Scholar 

  9. M. Gorkunov, S.A. Gredeskul, I.V. Shadrivov, Y.S. Kivshar, Effect of microscopic disorder on magnetic properties of metamaterials. Phys. Rev. E 73, 056605 (2006)

    Article  ADS  Google Scholar 

  10. N. Papasimakis, V.A. Fedotov, Y.H. Fu, D.P. Tsai, N.I. Zheludev, Coherent and incoherent metamaterials and order-disorder transitions. Phys. Rev. B 80, 041102(R) (2009)

    Article  ADS  Google Scholar 

  11. R. Singh, X. Lu, J. Gu, Z. Tian, W. Zhang, Random terahertz metamaterials. J. Opt. 12, 015101 (2010)

    Article  ADS  Google Scholar 

  12. J. Petschulat, C. Menzel, A. Chipouline, C. Rockstuhl, A. Tünnermann, F. Lederer, T. Pertsch, Multipole approach to metamaterials. Phys. Rev. A 78, 043811 (2008)

    Article  ADS  Google Scholar 

  13. G. Dolling, C. Enkrich, M. Wegener, F.J. Zhou, C.M. Soukoulis, S. Linden, Cut-wire pairs and plate pairs as magnetic atoms for optical metamaterials. Opt. Lett. 30(23), 3198–4000 (2005)

    Article  ADS  Google Scholar 

  14. V. Shalaev, W. Cai, U. Chettiar, H. Yuan, A. Sarychev, V. Drachev, A. Kildishev, Negative index of refraction in optical metamaterials. Opt. Lett. 30(24), 3356–3358 (2005)

    Article  ADS  Google Scholar 

  15. C. Helgert, C. Rockstuhl, C. Etrich, C. Menzel, E.-B. Kley, A. Tünnermann, F. Lederer, T. Pertsch, Effective properties of amorphous metamaterials. Phys. Rev. B 79, 233107 (2009)

    Article  ADS  Google Scholar 

  16. T. Paul, C. Rockstuhl, C. Menzel, F. Lederer, Anomalous refraction, diffraction, and imaging in metamaterials. Phys. Rev. B 79, 115430 (2009)

    Article  ADS  Google Scholar 

  17. T. Zentgraf, J. Dorfmüller, C. Rockstuhl, C. Etrich, R. Vogelgesang, K. Kern, T. Pertsch, F. Lederer, H. Giessen, Amplitude- and phase-resolved optical near fields of split-ring-resonator-based metamaterials. Opt. Lett. 33(8), 848–850 (2008)

    Article  ADS  Google Scholar 

  18. A. Taflove, S. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, 3rd edn. (Artech House, Boston, 2005)

    Google Scholar 

  19. R. Esteban, R. Vogelgesang, J. Dorfmüller, A. Dmitriev, C. Rockstuhl, C. Etrich, K. Kern, Direct near-field optical imaging of higher order plasmonic resonances. Nano Lett. 8(10), 3155–3159 (2008)

    Article  ADS  Google Scholar 

  20. D.J. Cho, F. Wang, X. Zhang, Y.R. Shen, Contribution of the electric quadrupole resonance in optical metamaterials. Phys. Rev. B 78, 121101(R) (2008)

    ADS  Google Scholar 

  21. P. Mühlschlegel, H. Eisler, O. Martin, B. Hecht, D. Pohl, Resonant optical antennas. Science 308, 1607–1609 (2005)

    Article  ADS  Google Scholar 

  22. C. Haynes, A. McFarland, L. Zhao, R. Van Duyne, G. Schatz, L. Gunnarsson, J. Prikulis, B. Kasemo, M. Käll, Nanoparticle optics: the importance of radiative dipole coupling in two-dimensional nanoparticle arrays. J. Phys. Chem. B 107(30), 7337–7342 (2003)

    Article  Google Scholar 

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Authors and Affiliations

  1. Institute of Applied Physics, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743, Jena, Germany

    C. Helgert, C. Etrich, E.-B. Kley, A. Tünnermann & T. Pertsch

  2. Institute of Condensed Matter Theory and Solid State Optics, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743, Jena, Germany

    C. Rockstuhl & F. Lederer

Authors
  1. C. Helgert
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  2. C. Rockstuhl
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  3. C. Etrich
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  4. E.-B. Kley
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  5. A. Tünnermann
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  6. F. Lederer
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  7. T. Pertsch
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Correspondence to C. Helgert.

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Helgert, C., Rockstuhl, C., Etrich, C. et al. Effects of anisotropic disorder in an optical metamaterial. Appl. Phys. A 103, 591–595 (2011). https://doi.org/10.1007/s00339-010-6190-2

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  • DOI: https://doi.org/10.1007/s00339-010-6190-2

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