Abstract

We show anti-crossings due to strong in-plane coupling of grating excited propagating plasmon modes in dielectric-metal-dielectric structure with 2D dielectric pattern on top. Grating coupled propagating plasmon modes along with their complete dispersion in the measurement range and all different sample orientations are calculated first. Further a coupled mode theory is presented for the specific geometry presented here. Experimentally measured anti-crossing widths are compared with those calculated by coupled mode theory. It is shown that the coupling strength of the plasmon modes and thus the anti-crossing width can be controlled by the orientation of the sample.

© 2013 OSA

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2012

S. Kasture, P. Mandal, A. Singh, A. Ramsay, A. S. Vengurlekar, S. Dutta Gupta, V. Belotelov, and A. Venu Gopal, “Near dispersion-less surface plasmon polariton resonances at a metal-dielectric interface with patterned dielectric on top,” Appl. Phys. Lett.101(9), 091602 (2012).
[CrossRef]

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

2011

2010

M. López-García, J. F. Galisteo-López, A. Blanco, J. Sánchez-Marcos, C. López, and A. García-Martín, “Enhancement and directionality of spontaneous emission in hybrid self-assembled photonic-plasmonic crystals,” Small6(16), 1757–1761 (2010).
[CrossRef] [PubMed]

L. Novotny, “Strong coupling, energy splitting, and level crossings: A classical perspective,” Am. J. Phys.78(11), 1199–1202 (2010).
[CrossRef]

2009

K. F. MacDonald, Z. L. Samson, M. I. Stockman, and N. I. Zheludev, “Ultrafast active plasmonics,” Nat. Photonics3(1), 55–58 (2009).
[CrossRef]

Y. Chu and K. B. Crozier, “Experimental study of the interaction between localized and propagating surface plasmons,” Opt. Lett.34(3), 244–246 (2009).
[CrossRef] [PubMed]

A. Ghoshal, I. Divliansky, and P. G. Kik, “Experimental observation of mode-selective anticrossing in surface-plasmon-coupled metal nanoparticle arrays,” Appl. Phys. Lett.94(17), 171108 (2009).
[CrossRef]

J. Li, H. Lu, J. T. K. Wan, and H. C. Ong, “The plasmonic properties of elliptical metallic hole arrays,” Appl. Phys. Lett.94(3), 033101 (2009).
[CrossRef]

2008

H. Gao, J. Henzie, M. H. Lee, and T. W. Odom, “Screening plasmonic materials using pyramidal gratings,” Proc. Natl. Acad. Sci. U.S.A.105(51), 20146–20151 (2008).
[CrossRef] [PubMed]

2007

2006

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, O. J. F. Martin, J. Kuhl, and H. Giessen, “Interaction between localized and delocalized surface plasmon polariton modes in a metallic photonic crystal,” Phys. Status Solidi243(10), 2344–2348 (2006) (b).
[CrossRef]

E. A. Stinaff, M. Scheibner, A. S. Bracker, I. V. Ponomarev, V. L. Korenev, M. E. Ware, M. F. Doty, T. L. Reinecke, and D. Gammon, “Optical signatures of coupled quantum dots,” Science311(5761), 636–639 (2006).
[CrossRef] [PubMed]

2004

W. L. Barnes, W. A. Murray, J. Dintinger, E. Devaux, and T. W. Ebbesen, “Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film,” Phys. Rev. Lett.92(10), 107401 (2004).
[CrossRef] [PubMed]

2003

A. Christ, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Waveguide-plasmon polaritons: Strong coupling of photonic and electronic resonances in a metallic photonic crystal slab,” Phys. Rev. Lett.91(18), 183901 (2003).
[CrossRef] [PubMed]

2000

R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-Ismail, A. I. Tartakovskii, P. G. Savvidis, J. J. Baumberg, and J. S. Roberts, “Continuous wave observation of massive polariton redistribution by stimulated scattering in semiconductor microcavities,” Phys. Rev. Lett.85(17), 3680–3683 (2000).
[CrossRef] [PubMed]

1987

S. D. Gupta, G. V. Varada, and G. S. Agarwal, “Surface plasmons in two-sided corrugated thin films,” Phys. Rev. B Condens. Matter36(12), 6331–6335 (1987).
[CrossRef] [PubMed]

S. D. Gupta, “Theoretical study of plasma resonance absorption in conical diffraction,” J. Opt. Soc. Am. B4(11), 1893–1898 (1987).
[CrossRef]

1985

G. S. Agarwal and S. Dutta Gupta, “Interaction between surface plasmons and localized plasmons,” Phys. Rev. B Condens. Matter32(6), 3607–3611 (1985).
[CrossRef] [PubMed]

1983

W. R. Holland and D. G. Hall, “Surface-plasmon dispersion relation: Shifts induced by the interaction with localized plasma resonances,” Phys. Rev. B27(12), 7765–7768 (1983).
[CrossRef]

1982

1972

H. Kogelnik and C. V. Shank, “Coupled-wave theory of distributed feedback lasers,” J. Appl. Phys.43(5), 2327–2335 (1972).
[CrossRef]

Agarwal, G. S.

S. D. Gupta, G. V. Varada, and G. S. Agarwal, “Surface plasmons in two-sided corrugated thin films,” Phys. Rev. B Condens. Matter36(12), 6331–6335 (1987).
[CrossRef] [PubMed]

G. S. Agarwal and S. Dutta Gupta, “Interaction between surface plasmons and localized plasmons,” Phys. Rev. B Condens. Matter32(6), 3607–3611 (1985).
[CrossRef] [PubMed]

Astratov, V. N.

R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-Ismail, A. I. Tartakovskii, P. G. Savvidis, J. J. Baumberg, and J. S. Roberts, “Continuous wave observation of massive polariton redistribution by stimulated scattering in semiconductor microcavities,” Phys. Rev. Lett.85(17), 3680–3683 (2000).
[CrossRef] [PubMed]

Barnes, W. L.

W. L. Barnes, W. A. Murray, J. Dintinger, E. Devaux, and T. W. Ebbesen, “Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film,” Phys. Rev. Lett.92(10), 107401 (2004).
[CrossRef] [PubMed]

Baumberg, J. J.

R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-Ismail, A. I. Tartakovskii, P. G. Savvidis, J. J. Baumberg, and J. S. Roberts, “Continuous wave observation of massive polariton redistribution by stimulated scattering in semiconductor microcavities,” Phys. Rev. Lett.85(17), 3680–3683 (2000).
[CrossRef] [PubMed]

Belotelov, V.

S. Kasture, P. Mandal, A. Singh, A. Ramsay, A. S. Vengurlekar, S. Dutta Gupta, V. Belotelov, and A. Venu Gopal, “Near dispersion-less surface plasmon polariton resonances at a metal-dielectric interface with patterned dielectric on top,” Appl. Phys. Lett.101(9), 091602 (2012).
[CrossRef]

Blanco, A.

M. López-García, J. F. Galisteo-López, A. Blanco, J. Sánchez-Marcos, C. López, and A. García-Martín, “Enhancement and directionality of spontaneous emission in hybrid self-assembled photonic-plasmonic crystals,” Small6(16), 1757–1761 (2010).
[CrossRef] [PubMed]

Bley, K.

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

Bracker, A. S.

E. A. Stinaff, M. Scheibner, A. S. Bracker, I. V. Ponomarev, V. L. Korenev, M. E. Ware, M. F. Doty, T. L. Reinecke, and D. Gammon, “Optical signatures of coupled quantum dots,” Science311(5761), 636–639 (2006).
[CrossRef] [PubMed]

Chen, Z.

Christ, A.

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, O. J. F. Martin, J. Kuhl, and H. Giessen, “Interaction between localized and delocalized surface plasmon polariton modes in a metallic photonic crystal,” Phys. Status Solidi243(10), 2344–2348 (2006) (b).
[CrossRef]

A. Christ, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Waveguide-plasmon polaritons: Strong coupling of photonic and electronic resonances in a metallic photonic crystal slab,” Phys. Rev. Lett.91(18), 183901 (2003).
[CrossRef] [PubMed]

Chu, Y.

Chuiko, G. P.

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

Crozier, K. B.

Deck, R. T.

Devaux, E.

W. L. Barnes, W. A. Murray, J. Dintinger, E. Devaux, and T. W. Ebbesen, “Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film,” Phys. Rev. Lett.92(10), 107401 (2004).
[CrossRef] [PubMed]

Dintinger, J.

W. L. Barnes, W. A. Murray, J. Dintinger, E. Devaux, and T. W. Ebbesen, “Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film,” Phys. Rev. Lett.92(10), 107401 (2004).
[CrossRef] [PubMed]

Divliansky, I.

A. Ghoshal, I. Divliansky, and P. G. Kik, “Experimental observation of mode-selective anticrossing in surface-plasmon-coupled metal nanoparticle arrays,” Appl. Phys. Lett.94(17), 171108 (2009).
[CrossRef]

Doty, M. F.

E. A. Stinaff, M. Scheibner, A. S. Bracker, I. V. Ponomarev, V. L. Korenev, M. E. Ware, M. F. Doty, T. L. Reinecke, and D. Gammon, “Optical signatures of coupled quantum dots,” Science311(5761), 636–639 (2006).
[CrossRef] [PubMed]

Dutta Gupta, S.

S. Kasture, P. Mandal, A. Singh, A. Ramsay, A. S. Vengurlekar, S. Dutta Gupta, V. Belotelov, and A. Venu Gopal, “Near dispersion-less surface plasmon polariton resonances at a metal-dielectric interface with patterned dielectric on top,” Appl. Phys. Lett.101(9), 091602 (2012).
[CrossRef]

G. S. Agarwal and S. Dutta Gupta, “Interaction between surface plasmons and localized plasmons,” Phys. Rev. B Condens. Matter32(6), 3607–3611 (1985).
[CrossRef] [PubMed]

Ebbesen, T. W.

W. L. Barnes, W. A. Murray, J. Dintinger, E. Devaux, and T. W. Ebbesen, “Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film,” Phys. Rev. Lett.92(10), 107401 (2004).
[CrossRef] [PubMed]

Emam-Ismail, M.

R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-Ismail, A. I. Tartakovskii, P. G. Savvidis, J. J. Baumberg, and J. S. Roberts, “Continuous wave observation of massive polariton redistribution by stimulated scattering in semiconductor microcavities,” Phys. Rev. Lett.85(17), 3680–3683 (2000).
[CrossRef] [PubMed]

Fasano, J. J.

Galisteo-López, J. F.

M. López-García, J. F. Galisteo-López, A. Blanco, J. Sánchez-Marcos, C. López, and A. García-Martín, “Enhancement and directionality of spontaneous emission in hybrid self-assembled photonic-plasmonic crystals,” Small6(16), 1757–1761 (2010).
[CrossRef] [PubMed]

Gammon, D.

E. A. Stinaff, M. Scheibner, A. S. Bracker, I. V. Ponomarev, V. L. Korenev, M. E. Ware, M. F. Doty, T. L. Reinecke, and D. Gammon, “Optical signatures of coupled quantum dots,” Science311(5761), 636–639 (2006).
[CrossRef] [PubMed]

Gao, H.

H. Gao, J. Henzie, M. H. Lee, and T. W. Odom, “Screening plasmonic materials using pyramidal gratings,” Proc. Natl. Acad. Sci. U.S.A.105(51), 20146–20151 (2008).
[CrossRef] [PubMed]

García-Martín, A.

M. López-García, J. F. Galisteo-López, A. Blanco, J. Sánchez-Marcos, C. López, and A. García-Martín, “Enhancement and directionality of spontaneous emission in hybrid self-assembled photonic-plasmonic crystals,” Small6(16), 1757–1761 (2010).
[CrossRef] [PubMed]

Ghoshal, A.

A. Ghoshal, I. Divliansky, and P. G. Kik, “Experimental observation of mode-selective anticrossing in surface-plasmon-coupled metal nanoparticle arrays,” Appl. Phys. Lett.94(17), 171108 (2009).
[CrossRef]

Giessen, H.

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, O. J. F. Martin, J. Kuhl, and H. Giessen, “Interaction between localized and delocalized surface plasmon polariton modes in a metallic photonic crystal,” Phys. Status Solidi243(10), 2344–2348 (2006) (b).
[CrossRef]

A. Christ, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Waveguide-plasmon polaritons: Strong coupling of photonic and electronic resonances in a metallic photonic crystal slab,” Phys. Rev. Lett.91(18), 183901 (2003).
[CrossRef] [PubMed]

Gippius, N. A.

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, O. J. F. Martin, J. Kuhl, and H. Giessen, “Interaction between localized and delocalized surface plasmon polariton modes in a metallic photonic crystal,” Phys. Status Solidi243(10), 2344–2348 (2006) (b).
[CrossRef]

A. Christ, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Waveguide-plasmon polaritons: Strong coupling of photonic and electronic resonances in a metallic photonic crystal slab,” Phys. Rev. Lett.91(18), 183901 (2003).
[CrossRef] [PubMed]

Gupta, S. D.

S. D. Gupta, “Theoretical study of plasma resonance absorption in conical diffraction,” J. Opt. Soc. Am. B4(11), 1893–1898 (1987).
[CrossRef]

S. D. Gupta, G. V. Varada, and G. S. Agarwal, “Surface plasmons in two-sided corrugated thin films,” Phys. Rev. B Condens. Matter36(12), 6331–6335 (1987).
[CrossRef] [PubMed]

Hall, D. G.

W. R. Holland and D. G. Hall, “Surface-plasmon dispersion relation: Shifts induced by the interaction with localized plasma resonances,” Phys. Rev. B27(12), 7765–7768 (1983).
[CrossRef]

Hembd, J.

Henzie, J.

H. Gao, J. Henzie, M. H. Lee, and T. W. Odom, “Screening plasmonic materials using pyramidal gratings,” Proc. Natl. Acad. Sci. U.S.A.105(51), 20146–20151 (2008).
[CrossRef] [PubMed]

Holland, W. R.

W. R. Holland and D. G. Hall, “Surface-plasmon dispersion relation: Shifts induced by the interaction with localized plasma resonances,” Phys. Rev. B27(12), 7765–7768 (1983).
[CrossRef]

Hooper, I. R.

Kasture, S.

S. Kasture, P. Mandal, A. Singh, A. Ramsay, A. S. Vengurlekar, S. Dutta Gupta, V. Belotelov, and A. Venu Gopal, “Near dispersion-less surface plasmon polariton resonances at a metal-dielectric interface with patterned dielectric on top,” Appl. Phys. Lett.101(9), 091602 (2012).
[CrossRef]

Kik, P. G.

A. Ghoshal, I. Divliansky, and P. G. Kik, “Experimental observation of mode-selective anticrossing in surface-plasmon-coupled metal nanoparticle arrays,” Appl. Phys. Lett.94(17), 171108 (2009).
[CrossRef]

Kogelnik, H.

H. Kogelnik and C. V. Shank, “Coupled-wave theory of distributed feedback lasers,” J. Appl. Phys.43(5), 2327–2335 (1972).
[CrossRef]

Kolomenski, A.

Kolomenskii, A.

Korenev, V. L.

E. A. Stinaff, M. Scheibner, A. S. Bracker, I. V. Ponomarev, V. L. Korenev, M. E. Ware, M. F. Doty, T. L. Reinecke, and D. Gammon, “Optical signatures of coupled quantum dots,” Science311(5761), 636–639 (2006).
[CrossRef] [PubMed]

Korovin, A. V.

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

Kriesch, A.

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

Kuhl, J.

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, O. J. F. Martin, J. Kuhl, and H. Giessen, “Interaction between localized and delocalized surface plasmon polariton modes in a metallic photonic crystal,” Phys. Status Solidi243(10), 2344–2348 (2006) (b).
[CrossRef]

A. Christ, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Waveguide-plasmon polaritons: Strong coupling of photonic and electronic resonances in a metallic photonic crystal slab,” Phys. Rev. Lett.91(18), 183901 (2003).
[CrossRef] [PubMed]

Landfester, K.

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

Lee, M. H.

H. Gao, J. Henzie, M. H. Lee, and T. W. Odom, “Screening plasmonic materials using pyramidal gratings,” Proc. Natl. Acad. Sci. U.S.A.105(51), 20146–20151 (2008).
[CrossRef] [PubMed]

Li, J.

J. Li, H. Lu, J. T. K. Wan, and H. C. Ong, “The plasmonic properties of elliptical metallic hole arrays,” Appl. Phys. Lett.94(3), 033101 (2009).
[CrossRef]

López, C.

M. López-García, J. F. Galisteo-López, A. Blanco, J. Sánchez-Marcos, C. López, and A. García-Martín, “Enhancement and directionality of spontaneous emission in hybrid self-assembled photonic-plasmonic crystals,” Small6(16), 1757–1761 (2010).
[CrossRef] [PubMed]

López-García, M.

M. López-García, J. F. Galisteo-López, A. Blanco, J. Sánchez-Marcos, C. López, and A. García-Martín, “Enhancement and directionality of spontaneous emission in hybrid self-assembled photonic-plasmonic crystals,” Small6(16), 1757–1761 (2010).
[CrossRef] [PubMed]

Lu, H.

J. Li, H. Lu, J. T. K. Wan, and H. C. Ong, “The plasmonic properties of elliptical metallic hole arrays,” Appl. Phys. Lett.94(3), 033101 (2009).
[CrossRef]

MacDonald, K. F.

K. F. MacDonald, Z. L. Samson, M. I. Stockman, and N. I. Zheludev, “Ultrafast active plasmonics,” Nat. Photonics3(1), 55–58 (2009).
[CrossRef]

Mandal, P.

S. Kasture, P. Mandal, A. Singh, A. Ramsay, A. S. Vengurlekar, S. Dutta Gupta, V. Belotelov, and A. Venu Gopal, “Near dispersion-less surface plasmon polariton resonances at a metal-dielectric interface with patterned dielectric on top,” Appl. Phys. Lett.101(9), 091602 (2012).
[CrossRef]

Martin, O. J. F.

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, O. J. F. Martin, J. Kuhl, and H. Giessen, “Interaction between localized and delocalized surface plasmon polariton modes in a metallic photonic crystal,” Phys. Status Solidi243(10), 2344–2348 (2006) (b).
[CrossRef]

Murray, W. A.

W. L. Barnes, W. A. Murray, J. Dintinger, E. Devaux, and T. W. Ebbesen, “Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film,” Phys. Rev. Lett.92(10), 107401 (2004).
[CrossRef] [PubMed]

Noel, J.

Novotny, L.

L. Novotny, “Strong coupling, energy splitting, and level crossings: A classical perspective,” Am. J. Phys.78(11), 1199–1202 (2010).
[CrossRef]

Odom, T. W.

H. Gao, J. Henzie, M. H. Lee, and T. W. Odom, “Screening plasmonic materials using pyramidal gratings,” Proc. Natl. Acad. Sci. U.S.A.105(51), 20146–20151 (2008).
[CrossRef] [PubMed]

Ong, H. C.

J. Li, H. Lu, J. T. K. Wan, and H. C. Ong, “The plasmonic properties of elliptical metallic hole arrays,” Appl. Phys. Lett.94(3), 033101 (2009).
[CrossRef]

Orlov, S.

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

Peng, S.

Peschel, U.

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

Ponomarev, I. V.

E. A. Stinaff, M. Scheibner, A. S. Bracker, I. V. Ponomarev, V. L. Korenev, M. E. Ware, M. F. Doty, T. L. Reinecke, and D. Gammon, “Optical signatures of coupled quantum dots,” Science311(5761), 636–639 (2006).
[CrossRef] [PubMed]

Ramsay, A.

S. Kasture, P. Mandal, A. Singh, A. Ramsay, A. S. Vengurlekar, S. Dutta Gupta, V. Belotelov, and A. Venu Gopal, “Near dispersion-less surface plasmon polariton resonances at a metal-dielectric interface with patterned dielectric on top,” Appl. Phys. Lett.101(9), 091602 (2012).
[CrossRef]

Regensburger, A.

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

Reinecke, T. L.

E. A. Stinaff, M. Scheibner, A. S. Bracker, I. V. Ponomarev, V. L. Korenev, M. E. Ware, M. F. Doty, T. L. Reinecke, and D. Gammon, “Optical signatures of coupled quantum dots,” Science311(5761), 636–639 (2006).
[CrossRef] [PubMed]

Roberts, J. S.

R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-Ismail, A. I. Tartakovskii, P. G. Savvidis, J. J. Baumberg, and J. S. Roberts, “Continuous wave observation of massive polariton redistribution by stimulated scattering in semiconductor microcavities,” Phys. Rev. Lett.85(17), 3680–3683 (2000).
[CrossRef] [PubMed]

Romanov, S. G.

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

Romanova, A. S.

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

Sambles, J. R.

Samson, Z. L.

K. F. MacDonald, Z. L. Samson, M. I. Stockman, and N. I. Zheludev, “Ultrafast active plasmonics,” Nat. Photonics3(1), 55–58 (2009).
[CrossRef]

Sánchez-Marcos, J.

M. López-García, J. F. Galisteo-López, A. Blanco, J. Sánchez-Marcos, C. López, and A. García-Martín, “Enhancement and directionality of spontaneous emission in hybrid self-assembled photonic-plasmonic crystals,” Small6(16), 1757–1761 (2010).
[CrossRef] [PubMed]

Sarid, D.

Savvidis, P. G.

R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-Ismail, A. I. Tartakovskii, P. G. Savvidis, J. J. Baumberg, and J. S. Roberts, “Continuous wave observation of massive polariton redistribution by stimulated scattering in semiconductor microcavities,” Phys. Rev. Lett.85(17), 3680–3683 (2000).
[CrossRef] [PubMed]

Scheibner, M.

E. A. Stinaff, M. Scheibner, A. S. Bracker, I. V. Ponomarev, V. L. Korenev, M. E. Ware, M. F. Doty, T. L. Reinecke, and D. Gammon, “Optical signatures of coupled quantum dots,” Science311(5761), 636–639 (2006).
[CrossRef] [PubMed]

Schuessler, H.

Shank, C. V.

H. Kogelnik and C. V. Shank, “Coupled-wave theory of distributed feedback lasers,” J. Appl. Phys.43(5), 2327–2335 (1972).
[CrossRef]

Singh, A.

S. Kasture, P. Mandal, A. Singh, A. Ramsay, A. S. Vengurlekar, S. Dutta Gupta, V. Belotelov, and A. Venu Gopal, “Near dispersion-less surface plasmon polariton resonances at a metal-dielectric interface with patterned dielectric on top,” Appl. Phys. Lett.101(9), 091602 (2012).
[CrossRef]

Skolnick, M. S.

R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-Ismail, A. I. Tartakovskii, P. G. Savvidis, J. J. Baumberg, and J. S. Roberts, “Continuous wave observation of massive polariton redistribution by stimulated scattering in semiconductor microcavities,” Phys. Rev. Lett.85(17), 3680–3683 (2000).
[CrossRef] [PubMed]

Stevenson, R. M.

R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-Ismail, A. I. Tartakovskii, P. G. Savvidis, J. J. Baumberg, and J. S. Roberts, “Continuous wave observation of massive polariton redistribution by stimulated scattering in semiconductor microcavities,” Phys. Rev. Lett.85(17), 3680–3683 (2000).
[CrossRef] [PubMed]

Stinaff, E. A.

E. A. Stinaff, M. Scheibner, A. S. Bracker, I. V. Ponomarev, V. L. Korenev, M. E. Ware, M. F. Doty, T. L. Reinecke, and D. Gammon, “Optical signatures of coupled quantum dots,” Science311(5761), 636–639 (2006).
[CrossRef] [PubMed]

Stockman, M. I.

K. F. MacDonald, Z. L. Samson, M. I. Stockman, and N. I. Zheludev, “Ultrafast active plasmonics,” Nat. Photonics3(1), 55–58 (2009).
[CrossRef]

Strohaber, J.

Tartakovskii, A. I.

R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-Ismail, A. I. Tartakovskii, P. G. Savvidis, J. J. Baumberg, and J. S. Roberts, “Continuous wave observation of massive polariton redistribution by stimulated scattering in semiconductor microcavities,” Phys. Rev. Lett.85(17), 3680–3683 (2000).
[CrossRef] [PubMed]

Teizer, W.

Tikhodeev, S. G.

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, O. J. F. Martin, J. Kuhl, and H. Giessen, “Interaction between localized and delocalized surface plasmon polariton modes in a metallic photonic crystal,” Phys. Status Solidi243(10), 2344–2348 (2006) (b).
[CrossRef]

A. Christ, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Waveguide-plasmon polaritons: Strong coupling of photonic and electronic resonances in a metallic photonic crystal slab,” Phys. Rev. Lett.91(18), 183901 (2003).
[CrossRef] [PubMed]

Varada, G. V.

S. D. Gupta, G. V. Varada, and G. S. Agarwal, “Surface plasmons in two-sided corrugated thin films,” Phys. Rev. B Condens. Matter36(12), 6331–6335 (1987).
[CrossRef] [PubMed]

Vengurlekar, A. S.

S. Kasture, P. Mandal, A. Singh, A. Ramsay, A. S. Vengurlekar, S. Dutta Gupta, V. Belotelov, and A. Venu Gopal, “Near dispersion-less surface plasmon polariton resonances at a metal-dielectric interface with patterned dielectric on top,” Appl. Phys. Lett.101(9), 091602 (2012).
[CrossRef]

Venu Gopal, A.

S. Kasture, P. Mandal, A. Singh, A. Ramsay, A. S. Vengurlekar, S. Dutta Gupta, V. Belotelov, and A. Venu Gopal, “Near dispersion-less surface plasmon polariton resonances at a metal-dielectric interface with patterned dielectric on top,” Appl. Phys. Lett.101(9), 091602 (2012).
[CrossRef]

Vogel, N.

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

Wan, J. T. K.

J. Li, H. Lu, J. T. K. Wan, and H. C. Ong, “The plasmonic properties of elliptical metallic hole arrays,” Appl. Phys. Lett.94(3), 033101 (2009).
[CrossRef]

Ware, M. E.

E. A. Stinaff, M. Scheibner, A. S. Bracker, I. V. Ponomarev, V. L. Korenev, M. E. Ware, M. F. Doty, T. L. Reinecke, and D. Gammon, “Optical signatures of coupled quantum dots,” Science311(5761), 636–639 (2006).
[CrossRef] [PubMed]

Weiss, C. K.

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

Whittaker, D. M.

R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-Ismail, A. I. Tartakovskii, P. G. Savvidis, J. J. Baumberg, and J. S. Roberts, “Continuous wave observation of massive polariton redistribution by stimulated scattering in semiconductor microcavities,” Phys. Rev. Lett.85(17), 3680–3683 (2000).
[CrossRef] [PubMed]

Zentgraf, T.

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, O. J. F. Martin, J. Kuhl, and H. Giessen, “Interaction between localized and delocalized surface plasmon polariton modes in a metallic photonic crystal,” Phys. Status Solidi243(10), 2344–2348 (2006) (b).
[CrossRef]

Zheludev, N. I.

K. F. MacDonald, Z. L. Samson, M. I. Stockman, and N. I. Zheludev, “Ultrafast active plasmonics,” Nat. Photonics3(1), 55–58 (2009).
[CrossRef]

Am. J. Phys.

L. Novotny, “Strong coupling, energy splitting, and level crossings: A classical perspective,” Am. J. Phys.78(11), 1199–1202 (2010).
[CrossRef]

Appl. Phys. Lett.

A. Ghoshal, I. Divliansky, and P. G. Kik, “Experimental observation of mode-selective anticrossing in surface-plasmon-coupled metal nanoparticle arrays,” Appl. Phys. Lett.94(17), 171108 (2009).
[CrossRef]

J. Li, H. Lu, J. T. K. Wan, and H. C. Ong, “The plasmonic properties of elliptical metallic hole arrays,” Appl. Phys. Lett.94(3), 033101 (2009).
[CrossRef]

S. Kasture, P. Mandal, A. Singh, A. Ramsay, A. S. Vengurlekar, S. Dutta Gupta, V. Belotelov, and A. Venu Gopal, “Near dispersion-less surface plasmon polariton resonances at a metal-dielectric interface with patterned dielectric on top,” Appl. Phys. Lett.101(9), 091602 (2012).
[CrossRef]

J. Appl. Phys.

H. Kogelnik and C. V. Shank, “Coupled-wave theory of distributed feedback lasers,” J. Appl. Phys.43(5), 2327–2335 (1972).
[CrossRef]

J. Opt. Soc. Am.

J. Opt. Soc. Am. A

J. Opt. Soc. Am. B

Nat. Photonics

K. F. MacDonald, Z. L. Samson, M. I. Stockman, and N. I. Zheludev, “Ultrafast active plasmonics,” Nat. Photonics3(1), 55–58 (2009).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. B

W. R. Holland and D. G. Hall, “Surface-plasmon dispersion relation: Shifts induced by the interaction with localized plasma resonances,” Phys. Rev. B27(12), 7765–7768 (1983).
[CrossRef]

S. G. Romanov, N. Vogel, K. Bley, K. Landfester, C. K. Weiss, S. Orlov, A. V. Korovin, G. P. Chuiko, A. Regensburger, A. S. Romanova, A. Kriesch, and U. Peschel, “Probing guided in a monolayer colloidal crystal on a flat metal film,” Phys. Rev. B86(19), 195145 (2012).
[CrossRef]

Phys. Rev. B Condens. Matter

S. D. Gupta, G. V. Varada, and G. S. Agarwal, “Surface plasmons in two-sided corrugated thin films,” Phys. Rev. B Condens. Matter36(12), 6331–6335 (1987).
[CrossRef] [PubMed]

G. S. Agarwal and S. Dutta Gupta, “Interaction between surface plasmons and localized plasmons,” Phys. Rev. B Condens. Matter32(6), 3607–3611 (1985).
[CrossRef] [PubMed]

Phys. Rev. Lett.

W. L. Barnes, W. A. Murray, J. Dintinger, E. Devaux, and T. W. Ebbesen, “Surface plasmon polaritons and their role in the enhanced transmission of light through periodic arrays of subwavelength holes in a metal film,” Phys. Rev. Lett.92(10), 107401 (2004).
[CrossRef] [PubMed]

R. M. Stevenson, V. N. Astratov, M. S. Skolnick, D. M. Whittaker, M. Emam-Ismail, A. I. Tartakovskii, P. G. Savvidis, J. J. Baumberg, and J. S. Roberts, “Continuous wave observation of massive polariton redistribution by stimulated scattering in semiconductor microcavities,” Phys. Rev. Lett.85(17), 3680–3683 (2000).
[CrossRef] [PubMed]

A. Christ, S. G. Tikhodeev, N. A. Gippius, J. Kuhl, and H. Giessen, “Waveguide-plasmon polaritons: Strong coupling of photonic and electronic resonances in a metallic photonic crystal slab,” Phys. Rev. Lett.91(18), 183901 (2003).
[CrossRef] [PubMed]

Phys. Status Solidi

A. Christ, T. Zentgraf, S. G. Tikhodeev, N. A. Gippius, O. J. F. Martin, J. Kuhl, and H. Giessen, “Interaction between localized and delocalized surface plasmon polariton modes in a metallic photonic crystal,” Phys. Status Solidi243(10), 2344–2348 (2006) (b).
[CrossRef]

Proc. Natl. Acad. Sci. U.S.A.

H. Gao, J. Henzie, M. H. Lee, and T. W. Odom, “Screening plasmonic materials using pyramidal gratings,” Proc. Natl. Acad. Sci. U.S.A.105(51), 20146–20151 (2008).
[CrossRef] [PubMed]

Science

E. A. Stinaff, M. Scheibner, A. S. Bracker, I. V. Ponomarev, V. L. Korenev, M. E. Ware, M. F. Doty, T. L. Reinecke, and D. Gammon, “Optical signatures of coupled quantum dots,” Science311(5761), 636–639 (2006).
[CrossRef] [PubMed]

Small

M. López-García, J. F. Galisteo-López, A. Blanco, J. Sánchez-Marcos, C. López, and A. García-Martín, “Enhancement and directionality of spontaneous emission in hybrid self-assembled photonic-plasmonic crystals,” Small6(16), 1757–1761 (2010).
[CrossRef] [PubMed]

Other

H. Raether, Surface Plasmons on Smooth and Rough Surfaces and on Gratings (Springer-Verlag, 1986).

S. A. Maier, Plasmonics: Fundamentals and Applications (Springer, 2007).

J. M. Liu, Photonic Devices (Cambridge University, 2005).

R. Daendliker, “Coupled waves: A powerful concept in modern optics,” SPIE Proc. Fifth International Topical Meeting on Education and Training in Optics 3190, 279–288 (1997).
[CrossRef]

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Figures (2)

Fig. 1
Fig. 1

(a) Shown is the schematic of the sample structure with dielectric-metal-dielectric layers having a 2-D air hole pattern in the top dielectric. Top dielectric is S1805 photoresist. Launch angle θ with respect to k and the azimuthal (in-plane) angle φ are shown. Various parameters such as the air hole depth (d), height of top unpatterned dielectric (h) and the thickness of the gold layer (t) are also marked. (b) SEM image of the sample.

Fig. 2
Fig. 2

Measured surface plasmon dispersion for different azimuthal angles is shown as grey scale plots. (a) φ = 15°, (c) φ = 30° (e) φ = 45°. (b), (d) and (f) show zoomed in region with arrows pointing to the anti-crossing site. Contours in lighter shade are the plasmon absorption related transmission dips in the spectra. Dashed lines are calculated grating coupled plasmon mode dispersions. Different modes are labeled. Anti-crossing sites have been marked by circles.

Tables (1)

Tables Icon

Table 1 Comparison of measured and calculated split gap for various azimuthal angles.

Equations (7)

Equations on this page are rendered with MathJax. Learn more.

1 4 ( E α t* × H β t + E β t × H α t* )dydz=± δ αβ cosϕ
Δε(x,y)= mn Δε mn e imK x x e inK y y
dA α (x) dx =i mn K αβ mn A β (x)e i(k β + mK x k α )x
K TMαβ mn,t = ωε 0 4 E α Z* Δε mn e inK y y E β z dydz K αβ mn,xy = ωε 0 4 { (E α x* Δε mn e inK y y E β x )cos( ϕ α ϕ β )dydz }
tanh( k 1 t)= ε 1 k 1 ( ε 2 k 3 + ε 3 k 2 ) ( ε 2 ε 3 k 1 2 + ε 1 2 k 2 k 3 )
k inplane = ( k 0 sinθcosϕ± m2π a x ) 2 + ( k 0 sinθsinϕ± n2π a y ) 2
A1(x)= A α (x)e i(k β k α +mKx)x A2(x)= A β (x)e -i(k β k α +mKx)x

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