Abstract

We present a systematic experimental study on the optical properties of plasmonic crystals (PlC) with hexagonal symmetry. We compare the dispersion and avoided crossings of surface plasmon modes around the Γ-point of Au-metal hole arrays with a hexagonal, honeycomb and kagome lattice. Symmetry arguments and group theory are used to label the six modes and understand their radiative and dispersive properties. Plasmon-plasmon interaction are accurately described by a coupled mode model, that contains effective scattering amplitudes of surface plasmons on a lattice of air holes under 60°, 120°, and 180°. We determine these rates in the experiment and find that they are dominated by the hole-density and not on the complexity of the unit-cell. Our analysis shows that the observed angle-dependent scattering can be explained by a single-hole model based on electric and magnetic dipoles.

© 2016 Optical Society of America

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  1. M. Fleischmann, P. J. Hendra, and A. J. McQuillan, “Raman spectra of pyridine adsorbed at a silver electrode,” Chem. Phys. Lett. 26, 163–166 (1974).
    [Crossref]
  2. D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index”, Science 305, 788–792 (2004).
    [Crossref] [PubMed]
  3. J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields”, Science 312, 1780–1782 (2006).
    [Crossref] [PubMed]
  4. J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. v. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325, 1513–1515 (2009).
    [Crossref] [PubMed]
  5. N. Meinzer, W. L. Barnes, and I. R. Hooper, “Plasmonic meta-atoms and metasurfaces,” Nat. Photonics 8, 889–898 (2014).
    [Crossref]
  6. J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
    [Crossref]
  7. F. J. Garcia-Vidal, L. Martín-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A: Pure Appl. Opt. 7, S97 (2005).
    [Crossref]
  8. N. Rotenberg, M. Spasenović, T. L. Krijger, B. L. Feber, F. J. G. de Abajo, and L. Kuipers, “Plasmon scattering from single subwavelength holes,” Phys. Rev. Lett. 108, 127402 (2012).
    [Crossref] [PubMed]
  9. F. van Beijnum, P. J. van Veldhoven, E. J. Geluk, M. J. A. de Dood, G. W. ’t Hooft, and M. P. van Exter, “Surface plasmon lasing observed in metal hole arrays,” Phys. Rev. Lett. 110, 206802 (2013).
    [Crossref] [PubMed]
  10. V. T. Tenner, M. J. A. de Dood, and M. P. van Exter, “Measurement of the Phase and Intensity Profile of surface plasmon laser emission, ACS Photonics 3, 942–946 (2016).
    [Crossref]
  11. M. P. van Exter, V. T. Tenner, F. van Beijnum, M. J. A. de Dood, P. J. van Veldhoven, E. J. Geluk, and G. W. ’t Hooft, “Surface plasmon dispersion in metal hole array lasers,” Opt. Express 21, 27422 (2013).
    [Crossref] [PubMed]
  12. V. T. Tenner, A. N. van Delft, M. J. A. de Dood, and M. P. van Exter, “Loss and scattering of surface plasmon polaritons on optically-pumped hole arrays,” J. Opt. 16, 114019 (2014).
    [Crossref]
  13. H. Saito and N. Yamamoto, “Size dependence of bandgaps in a two-dimensional plasmonic crystal with a hexagonal lattice,” Opt. Express 23, 2524 (2015).
    [Crossref] [PubMed]
  14. W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54, 6227–6244 (1996).
    [Crossref]
  15. P. Paddon and J. F. Young, “Two-dimensional vector-coupled-mode theory for textured planar waveguides,” Phys. Rev. B 61, 2090–2101 (2000).
    [Crossref]
  16. K. Sakoda, Optical Properties of Photonic Crystals (Springer, 2005).
  17. J.-L. R. Stevens, P. Rudiger, and J. A. Bednar, “HoloViews: building complex visualizations easily for reproducible science”, in Proceedings of the 14th Python in Science Conference, (2015), pp. 61–69.
  18. S. Adachi, Physical Properties of III–V Semiconductor Compounds InP, InAs, GaAs, GaP, InGaAs, and InGaAsP (Wiley, 1992).
  19. T. Okamoto and S. Kawata, “Dispersion relation and radiation properties of plasmonic crystals with triangular lattices,” Opt. Express 20, 5168 (2012).
    [Crossref] [PubMed]
  20. M. Kerker, D.-S. Wang, and C. L. Giles, “Electromagnetic scattering by magnetic spheres,” J. Opt. A: Pure Appl. Opt. 73, 765 (1983).
    [Crossref]
  21. H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452, 728–731 (2008).
    [Crossref] [PubMed]
  22. F. van Beijnum, C. Rétif, C. B. Smiet, H. Liu, P. Lalanne, and M. P. van Exter, “Quasi-cylindrical wave contribution in experiments on extraordinary optical transmission,” Nature 492, 411–414 (2012).
    [Crossref] [PubMed]
  23. H. Liu and P. Lalanne, “General properties of the surface charge pattern of one-dimensional metallic gratings,” Opt. Express 21, 16753–16762 (2013).
    [Crossref] [PubMed]
  24. X. Zhang, H. Liu, and Y. Zhong, “Microscopic analysis of surface Bloch modes on periodically perforated metallic surfaces and their relation to extraordinary optical transmission,” Phys. Rev. B 89, 195431 (2014).
    [Crossref]
  25. D. V. Coevorden, “Light propagation in ordered and disordered media,” Ph.D. thesis, Universiteit van Amsterdam (1997).

2016 (1)

V. T. Tenner, M. J. A. de Dood, and M. P. van Exter, “Measurement of the Phase and Intensity Profile of surface plasmon laser emission, ACS Photonics 3, 942–946 (2016).
[Crossref]

2015 (2)

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

H. Saito and N. Yamamoto, “Size dependence of bandgaps in a two-dimensional plasmonic crystal with a hexagonal lattice,” Opt. Express 23, 2524 (2015).
[Crossref] [PubMed]

2014 (3)

N. Meinzer, W. L. Barnes, and I. R. Hooper, “Plasmonic meta-atoms and metasurfaces,” Nat. Photonics 8, 889–898 (2014).
[Crossref]

V. T. Tenner, A. N. van Delft, M. J. A. de Dood, and M. P. van Exter, “Loss and scattering of surface plasmon polaritons on optically-pumped hole arrays,” J. Opt. 16, 114019 (2014).
[Crossref]

X. Zhang, H. Liu, and Y. Zhong, “Microscopic analysis of surface Bloch modes on periodically perforated metallic surfaces and their relation to extraordinary optical transmission,” Phys. Rev. B 89, 195431 (2014).
[Crossref]

2013 (3)

2012 (3)

F. van Beijnum, C. Rétif, C. B. Smiet, H. Liu, P. Lalanne, and M. P. van Exter, “Quasi-cylindrical wave contribution in experiments on extraordinary optical transmission,” Nature 492, 411–414 (2012).
[Crossref] [PubMed]

T. Okamoto and S. Kawata, “Dispersion relation and radiation properties of plasmonic crystals with triangular lattices,” Opt. Express 20, 5168 (2012).
[Crossref] [PubMed]

N. Rotenberg, M. Spasenović, T. L. Krijger, B. L. Feber, F. J. G. de Abajo, and L. Kuipers, “Plasmon scattering from single subwavelength holes,” Phys. Rev. Lett. 108, 127402 (2012).
[Crossref] [PubMed]

2009 (1)

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. v. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325, 1513–1515 (2009).
[Crossref] [PubMed]

2008 (1)

H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452, 728–731 (2008).
[Crossref] [PubMed]

2006 (1)

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields”, Science 312, 1780–1782 (2006).
[Crossref] [PubMed]

2005 (1)

F. J. Garcia-Vidal, L. Martín-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A: Pure Appl. Opt. 7, S97 (2005).
[Crossref]

2004 (1)

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index”, Science 305, 788–792 (2004).
[Crossref] [PubMed]

2000 (1)

P. Paddon and J. F. Young, “Two-dimensional vector-coupled-mode theory for textured planar waveguides,” Phys. Rev. B 61, 2090–2101 (2000).
[Crossref]

1996 (1)

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54, 6227–6244 (1996).
[Crossref]

1983 (1)

M. Kerker, D.-S. Wang, and C. L. Giles, “Electromagnetic scattering by magnetic spheres,” J. Opt. A: Pure Appl. Opt. 73, 765 (1983).
[Crossref]

1974 (1)

M. Fleischmann, P. J. Hendra, and A. J. McQuillan, “Raman spectra of pyridine adsorbed at a silver electrode,” Chem. Phys. Lett. 26, 163–166 (1974).
[Crossref]

’t Hooft, G. W.

F. van Beijnum, P. J. van Veldhoven, E. J. Geluk, M. J. A. de Dood, G. W. ’t Hooft, and M. P. van Exter, “Surface plasmon lasing observed in metal hole arrays,” Phys. Rev. Lett. 110, 206802 (2013).
[Crossref] [PubMed]

M. P. van Exter, V. T. Tenner, F. van Beijnum, M. J. A. de Dood, P. J. van Veldhoven, E. J. Geluk, and G. W. ’t Hooft, “Surface plasmon dispersion in metal hole array lasers,” Opt. Express 21, 27422 (2013).
[Crossref] [PubMed]

Adachi, S.

S. Adachi, Physical Properties of III–V Semiconductor Compounds InP, InAs, GaAs, GaP, InGaAs, and InGaAsP (Wiley, 1992).

Aizpurua, J.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

Bade, K.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. v. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325, 1513–1515 (2009).
[Crossref] [PubMed]

Barnes, W. L.

N. Meinzer, W. L. Barnes, and I. R. Hooper, “Plasmonic meta-atoms and metasurfaces,” Nat. Photonics 8, 889–898 (2014).
[Crossref]

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54, 6227–6244 (1996).
[Crossref]

Baumberg, J.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

Bednar, J. A.

J.-L. R. Stevens, P. Rudiger, and J. A. Bednar, “HoloViews: building complex visualizations easily for reproducible science”, in Proceedings of the 14th Python in Science Conference, (2015), pp. 61–69.

Bozhevolnyi, S.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

Brongersma, M.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

Coevorden, D. V.

D. V. Coevorden, “Light propagation in ordered and disordered media,” Ph.D. thesis, Universiteit van Amsterdam (1997).

de Abajo, F. J. G.

N. Rotenberg, M. Spasenović, T. L. Krijger, B. L. Feber, F. J. G. de Abajo, and L. Kuipers, “Plasmon scattering from single subwavelength holes,” Phys. Rev. Lett. 108, 127402 (2012).
[Crossref] [PubMed]

de Dood, M. J. A.

V. T. Tenner, M. J. A. de Dood, and M. P. van Exter, “Measurement of the Phase and Intensity Profile of surface plasmon laser emission, ACS Photonics 3, 942–946 (2016).
[Crossref]

V. T. Tenner, A. N. van Delft, M. J. A. de Dood, and M. P. van Exter, “Loss and scattering of surface plasmon polaritons on optically-pumped hole arrays,” J. Opt. 16, 114019 (2014).
[Crossref]

M. P. van Exter, V. T. Tenner, F. van Beijnum, M. J. A. de Dood, P. J. van Veldhoven, E. J. Geluk, and G. W. ’t Hooft, “Surface plasmon dispersion in metal hole array lasers,” Opt. Express 21, 27422 (2013).
[Crossref] [PubMed]

F. van Beijnum, P. J. van Veldhoven, E. J. Geluk, M. J. A. de Dood, G. W. ’t Hooft, and M. P. van Exter, “Surface plasmon lasing observed in metal hole arrays,” Phys. Rev. Lett. 110, 206802 (2013).
[Crossref] [PubMed]

Decker, M.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. v. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325, 1513–1515 (2009).
[Crossref] [PubMed]

Ebbesen, T.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

Feber, B. L.

N. Rotenberg, M. Spasenović, T. L. Krijger, B. L. Feber, F. J. G. de Abajo, and L. Kuipers, “Plasmon scattering from single subwavelength holes,” Phys. Rev. Lett. 108, 127402 (2012).
[Crossref] [PubMed]

Fleischmann, M.

M. Fleischmann, P. J. Hendra, and A. J. McQuillan, “Raman spectra of pyridine adsorbed at a silver electrode,” Chem. Phys. Lett. 26, 163–166 (1974).
[Crossref]

Freymann, G. v.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. v. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325, 1513–1515 (2009).
[Crossref] [PubMed]

Gansel, J. K.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. v. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325, 1513–1515 (2009).
[Crossref] [PubMed]

García de Abajo, F. J.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

Garcia-Vidal, F. J.

F. J. Garcia-Vidal, L. Martín-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A: Pure Appl. Opt. 7, S97 (2005).
[Crossref]

Geluk, E. J.

F. van Beijnum, P. J. van Veldhoven, E. J. Geluk, M. J. A. de Dood, G. W. ’t Hooft, and M. P. van Exter, “Surface plasmon lasing observed in metal hole arrays,” Phys. Rev. Lett. 110, 206802 (2013).
[Crossref] [PubMed]

M. P. van Exter, V. T. Tenner, F. van Beijnum, M. J. A. de Dood, P. J. van Veldhoven, E. J. Geluk, and G. W. ’t Hooft, “Surface plasmon dispersion in metal hole array lasers,” Opt. Express 21, 27422 (2013).
[Crossref] [PubMed]

Giles, C. L.

M. Kerker, D.-S. Wang, and C. L. Giles, “Electromagnetic scattering by magnetic spheres,” J. Opt. A: Pure Appl. Opt. 73, 765 (1983).
[Crossref]

Ginzburg, P.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

Hendra, P. J.

M. Fleischmann, P. J. Hendra, and A. J. McQuillan, “Raman spectra of pyridine adsorbed at a silver electrode,” Chem. Phys. Lett. 26, 163–166 (1974).
[Crossref]

Hess, O.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

Hooper, I. R.

N. Meinzer, W. L. Barnes, and I. R. Hooper, “Plasmonic meta-atoms and metasurfaces,” Nat. Photonics 8, 889–898 (2014).
[Crossref]

Kawata, S.

Kerker, M.

M. Kerker, D.-S. Wang, and C. L. Giles, “Electromagnetic scattering by magnetic spheres,” J. Opt. A: Pure Appl. Opt. 73, 765 (1983).
[Crossref]

Kitson, S. C.

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54, 6227–6244 (1996).
[Crossref]

Kornyshev, A. A.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

Kotni, S.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

Krijger, T. L.

N. Rotenberg, M. Spasenović, T. L. Krijger, B. L. Feber, F. J. G. de Abajo, and L. Kuipers, “Plasmon scattering from single subwavelength holes,” Phys. Rev. Lett. 108, 127402 (2012).
[Crossref] [PubMed]

Kuipers, L.

N. Rotenberg, M. Spasenović, T. L. Krijger, B. L. Feber, F. J. G. de Abajo, and L. Kuipers, “Plasmon scattering from single subwavelength holes,” Phys. Rev. Lett. 108, 127402 (2012).
[Crossref] [PubMed]

Lalanne, P.

H. Liu and P. Lalanne, “General properties of the surface charge pattern of one-dimensional metallic gratings,” Opt. Express 21, 16753–16762 (2013).
[Crossref] [PubMed]

F. van Beijnum, C. Rétif, C. B. Smiet, H. Liu, P. Lalanne, and M. P. van Exter, “Quasi-cylindrical wave contribution in experiments on extraordinary optical transmission,” Nature 492, 411–414 (2012).
[Crossref] [PubMed]

H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452, 728–731 (2008).
[Crossref] [PubMed]

Lin, K.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

Linden, S.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. v. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325, 1513–1515 (2009).
[Crossref] [PubMed]

Liu, H.

X. Zhang, H. Liu, and Y. Zhong, “Microscopic analysis of surface Bloch modes on periodically perforated metallic surfaces and their relation to extraordinary optical transmission,” Phys. Rev. B 89, 195431 (2014).
[Crossref]

H. Liu and P. Lalanne, “General properties of the surface charge pattern of one-dimensional metallic gratings,” Opt. Express 21, 16753–16762 (2013).
[Crossref] [PubMed]

F. van Beijnum, C. Rétif, C. B. Smiet, H. Liu, P. Lalanne, and M. P. van Exter, “Quasi-cylindrical wave contribution in experiments on extraordinary optical transmission,” Nature 492, 411–414 (2012).
[Crossref] [PubMed]

H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452, 728–731 (2008).
[Crossref] [PubMed]

Martín-Moreno, L.

F. J. Garcia-Vidal, L. Martín-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A: Pure Appl. Opt. 7, S97 (2005).
[Crossref]

McQuillan, A. J.

M. Fleischmann, P. J. Hendra, and A. J. McQuillan, “Raman spectra of pyridine adsorbed at a silver electrode,” Chem. Phys. Lett. 26, 163–166 (1974).
[Crossref]

Meinzer, N.

N. Meinzer, W. L. Barnes, and I. R. Hooper, “Plasmonic meta-atoms and metasurfaces,” Nat. Photonics 8, 889–898 (2014).
[Crossref]

Noginov, M.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

Okamoto, T.

Paddon, P.

P. Paddon and J. F. Young, “Two-dimensional vector-coupled-mode theory for textured planar waveguides,” Phys. Rev. B 61, 2090–2101 (2000).
[Crossref]

Pendry, J. B.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields”, Science 312, 1780–1782 (2006).
[Crossref] [PubMed]

F. J. Garcia-Vidal, L. Martín-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A: Pure Appl. Opt. 7, S97 (2005).
[Crossref]

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index”, Science 305, 788–792 (2004).
[Crossref] [PubMed]

Preist, T. W.

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54, 6227–6244 (1996).
[Crossref]

Rétif, C.

F. van Beijnum, C. Rétif, C. B. Smiet, H. Liu, P. Lalanne, and M. P. van Exter, “Quasi-cylindrical wave contribution in experiments on extraordinary optical transmission,” Nature 492, 411–414 (2012).
[Crossref] [PubMed]

Rill, M. S.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. v. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325, 1513–1515 (2009).
[Crossref] [PubMed]

Rotenberg, N.

N. Rotenberg, M. Spasenović, T. L. Krijger, B. L. Feber, F. J. G. de Abajo, and L. Kuipers, “Plasmon scattering from single subwavelength holes,” Phys. Rev. Lett. 108, 127402 (2012).
[Crossref] [PubMed]

Rudiger, P.

J.-L. R. Stevens, P. Rudiger, and J. A. Bednar, “HoloViews: building complex visualizations easily for reproducible science”, in Proceedings of the 14th Python in Science Conference, (2015), pp. 61–69.

Saile, V.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. v. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325, 1513–1515 (2009).
[Crossref] [PubMed]

Saito, H.

Sakoda, K.

K. Sakoda, Optical Properties of Photonic Crystals (Springer, 2005).

Sambles, J. R.

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54, 6227–6244 (1996).
[Crossref]

Sapienza, R.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

Schurig, D.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields”, Science 312, 1780–1782 (2006).
[Crossref] [PubMed]

Smiet, C. B.

F. van Beijnum, C. Rétif, C. B. Smiet, H. Liu, P. Lalanne, and M. P. van Exter, “Quasi-cylindrical wave contribution in experiments on extraordinary optical transmission,” Nature 492, 411–414 (2012).
[Crossref] [PubMed]

Smith, D. R.

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields”, Science 312, 1780–1782 (2006).
[Crossref] [PubMed]

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index”, Science 305, 788–792 (2004).
[Crossref] [PubMed]

Spasenovic, M.

N. Rotenberg, M. Spasenović, T. L. Krijger, B. L. Feber, F. J. G. de Abajo, and L. Kuipers, “Plasmon scattering from single subwavelength holes,” Phys. Rev. Lett. 108, 127402 (2012).
[Crossref] [PubMed]

Stevens, J.-L. R.

J.-L. R. Stevens, P. Rudiger, and J. A. Bednar, “HoloViews: building complex visualizations easily for reproducible science”, in Proceedings of the 14th Python in Science Conference, (2015), pp. 61–69.

Tenner, V. T.

V. T. Tenner, M. J. A. de Dood, and M. P. van Exter, “Measurement of the Phase and Intensity Profile of surface plasmon laser emission, ACS Photonics 3, 942–946 (2016).
[Crossref]

V. T. Tenner, A. N. van Delft, M. J. A. de Dood, and M. P. van Exter, “Loss and scattering of surface plasmon polaritons on optically-pumped hole arrays,” J. Opt. 16, 114019 (2014).
[Crossref]

M. P. van Exter, V. T. Tenner, F. van Beijnum, M. J. A. de Dood, P. J. van Veldhoven, E. J. Geluk, and G. W. ’t Hooft, “Surface plasmon dispersion in metal hole array lasers,” Opt. Express 21, 27422 (2013).
[Crossref] [PubMed]

Thiel, M.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. v. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325, 1513–1515 (2009).
[Crossref] [PubMed]

van Beijnum, F.

F. van Beijnum, P. J. van Veldhoven, E. J. Geluk, M. J. A. de Dood, G. W. ’t Hooft, and M. P. van Exter, “Surface plasmon lasing observed in metal hole arrays,” Phys. Rev. Lett. 110, 206802 (2013).
[Crossref] [PubMed]

M. P. van Exter, V. T. Tenner, F. van Beijnum, M. J. A. de Dood, P. J. van Veldhoven, E. J. Geluk, and G. W. ’t Hooft, “Surface plasmon dispersion in metal hole array lasers,” Opt. Express 21, 27422 (2013).
[Crossref] [PubMed]

F. van Beijnum, C. Rétif, C. B. Smiet, H. Liu, P. Lalanne, and M. P. van Exter, “Quasi-cylindrical wave contribution in experiments on extraordinary optical transmission,” Nature 492, 411–414 (2012).
[Crossref] [PubMed]

van Delft, A. N.

V. T. Tenner, A. N. van Delft, M. J. A. de Dood, and M. P. van Exter, “Loss and scattering of surface plasmon polaritons on optically-pumped hole arrays,” J. Opt. 16, 114019 (2014).
[Crossref]

van Exter, M. P.

V. T. Tenner, M. J. A. de Dood, and M. P. van Exter, “Measurement of the Phase and Intensity Profile of surface plasmon laser emission, ACS Photonics 3, 942–946 (2016).
[Crossref]

V. T. Tenner, A. N. van Delft, M. J. A. de Dood, and M. P. van Exter, “Loss and scattering of surface plasmon polaritons on optically-pumped hole arrays,” J. Opt. 16, 114019 (2014).
[Crossref]

M. P. van Exter, V. T. Tenner, F. van Beijnum, M. J. A. de Dood, P. J. van Veldhoven, E. J. Geluk, and G. W. ’t Hooft, “Surface plasmon dispersion in metal hole array lasers,” Opt. Express 21, 27422 (2013).
[Crossref] [PubMed]

F. van Beijnum, P. J. van Veldhoven, E. J. Geluk, M. J. A. de Dood, G. W. ’t Hooft, and M. P. van Exter, “Surface plasmon lasing observed in metal hole arrays,” Phys. Rev. Lett. 110, 206802 (2013).
[Crossref] [PubMed]

F. van Beijnum, C. Rétif, C. B. Smiet, H. Liu, P. Lalanne, and M. P. van Exter, “Quasi-cylindrical wave contribution in experiments on extraordinary optical transmission,” Nature 492, 411–414 (2012).
[Crossref] [PubMed]

van Hulst, N.

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

van Veldhoven, P. J.

F. van Beijnum, P. J. van Veldhoven, E. J. Geluk, M. J. A. de Dood, G. W. ’t Hooft, and M. P. van Exter, “Surface plasmon lasing observed in metal hole arrays,” Phys. Rev. Lett. 110, 206802 (2013).
[Crossref] [PubMed]

M. P. van Exter, V. T. Tenner, F. van Beijnum, M. J. A. de Dood, P. J. van Veldhoven, E. J. Geluk, and G. W. ’t Hooft, “Surface plasmon dispersion in metal hole array lasers,” Opt. Express 21, 27422 (2013).
[Crossref] [PubMed]

Wang, D.-S.

M. Kerker, D.-S. Wang, and C. L. Giles, “Electromagnetic scattering by magnetic spheres,” J. Opt. A: Pure Appl. Opt. 73, 765 (1983).
[Crossref]

Wegener, M.

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. v. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325, 1513–1515 (2009).
[Crossref] [PubMed]

Wiltshire, M. C. K.

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index”, Science 305, 788–792 (2004).
[Crossref] [PubMed]

Yamamoto, N.

Young, J. F.

P. Paddon and J. F. Young, “Two-dimensional vector-coupled-mode theory for textured planar waveguides,” Phys. Rev. B 61, 2090–2101 (2000).
[Crossref]

Zhang, X.

X. Zhang, H. Liu, and Y. Zhong, “Microscopic analysis of surface Bloch modes on periodically perforated metallic surfaces and their relation to extraordinary optical transmission,” Phys. Rev. B 89, 195431 (2014).
[Crossref]

Zhong, Y.

X. Zhang, H. Liu, and Y. Zhong, “Microscopic analysis of surface Bloch modes on periodically perforated metallic surfaces and their relation to extraordinary optical transmission,” Phys. Rev. B 89, 195431 (2014).
[Crossref]

ACS Photonics (1)

V. T. Tenner, M. J. A. de Dood, and M. P. van Exter, “Measurement of the Phase and Intensity Profile of surface plasmon laser emission, ACS Photonics 3, 942–946 (2016).
[Crossref]

Chem. Phys. Lett. (1)

M. Fleischmann, P. J. Hendra, and A. J. McQuillan, “Raman spectra of pyridine adsorbed at a silver electrode,” Chem. Phys. Lett. 26, 163–166 (1974).
[Crossref]

Farad. Discuss. (1)

J. Baumberg, M. Noginov, J. Aizpurua, K. Lin, T. Ebbesen, A. A. Kornyshev, R. Sapienza, N. van Hulst, S. Kotni, F. J. García de Abajo, P. Ginzburg, O. Hess, M. Brongersma, and S. Bozhevolnyi, “Quantum plasmonics, gain and spasers: general discussion,” Farad. Discuss. 178, 325–334 (2015).
[Crossref]

J. Opt. (1)

V. T. Tenner, A. N. van Delft, M. J. A. de Dood, and M. P. van Exter, “Loss and scattering of surface plasmon polaritons on optically-pumped hole arrays,” J. Opt. 16, 114019 (2014).
[Crossref]

J. Opt. A: Pure Appl. Opt. (2)

M. Kerker, D.-S. Wang, and C. L. Giles, “Electromagnetic scattering by magnetic spheres,” J. Opt. A: Pure Appl. Opt. 73, 765 (1983).
[Crossref]

F. J. Garcia-Vidal, L. Martín-Moreno, and J. B. Pendry, “Surfaces with holes in them: new plasmonic metamaterials,” J. Opt. A: Pure Appl. Opt. 7, S97 (2005).
[Crossref]

Nat. Photonics (1)

N. Meinzer, W. L. Barnes, and I. R. Hooper, “Plasmonic meta-atoms and metasurfaces,” Nat. Photonics 8, 889–898 (2014).
[Crossref]

Nature (2)

H. Liu and P. Lalanne, “Microscopic theory of the extraordinary optical transmission,” Nature 452, 728–731 (2008).
[Crossref] [PubMed]

F. van Beijnum, C. Rétif, C. B. Smiet, H. Liu, P. Lalanne, and M. P. van Exter, “Quasi-cylindrical wave contribution in experiments on extraordinary optical transmission,” Nature 492, 411–414 (2012).
[Crossref] [PubMed]

Opt. Express (4)

Phys. Rev. B (3)

X. Zhang, H. Liu, and Y. Zhong, “Microscopic analysis of surface Bloch modes on periodically perforated metallic surfaces and their relation to extraordinary optical transmission,” Phys. Rev. B 89, 195431 (2014).
[Crossref]

W. L. Barnes, T. W. Preist, S. C. Kitson, and J. R. Sambles, “Physical origin of photonic energy gaps in the propagation of surface plasmons on gratings,” Phys. Rev. B 54, 6227–6244 (1996).
[Crossref]

P. Paddon and J. F. Young, “Two-dimensional vector-coupled-mode theory for textured planar waveguides,” Phys. Rev. B 61, 2090–2101 (2000).
[Crossref]

Phys. Rev. Lett. (2)

N. Rotenberg, M. Spasenović, T. L. Krijger, B. L. Feber, F. J. G. de Abajo, and L. Kuipers, “Plasmon scattering from single subwavelength holes,” Phys. Rev. Lett. 108, 127402 (2012).
[Crossref] [PubMed]

F. van Beijnum, P. J. van Veldhoven, E. J. Geluk, M. J. A. de Dood, G. W. ’t Hooft, and M. P. van Exter, “Surface plasmon lasing observed in metal hole arrays,” Phys. Rev. Lett. 110, 206802 (2013).
[Crossref] [PubMed]

Science (3)

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, “Metamaterials and negative refractive index”, Science 305, 788–792 (2004).
[Crossref] [PubMed]

J. B. Pendry, D. Schurig, and D. R. Smith, “Controlling electromagnetic fields”, Science 312, 1780–1782 (2006).
[Crossref] [PubMed]

J. K. Gansel, M. Thiel, M. S. Rill, M. Decker, K. Bade, V. Saile, G. v. Freymann, S. Linden, and M. Wegener, “Gold helix photonic metamaterial as broadband circular polarizer,” Science 325, 1513–1515 (2009).
[Crossref] [PubMed]

Other (4)

K. Sakoda, Optical Properties of Photonic Crystals (Springer, 2005).

J.-L. R. Stevens, P. Rudiger, and J. A. Bednar, “HoloViews: building complex visualizations easily for reproducible science”, in Proceedings of the 14th Python in Science Conference, (2015), pp. 61–69.

S. Adachi, Physical Properties of III–V Semiconductor Compounds InP, InAs, GaAs, GaP, InGaAs, and InGaAsP (Wiley, 1992).

D. V. Coevorden, “Light propagation in ordered and disordered media,” Ph.D. thesis, Universiteit van Amsterdam (1997).

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