Abstract

A plasmonic structure with double gold patches is proposed for enhancing the spontaneous emission of a magnetic dipole transition through a magnetic hot area. A Purcell factor of nearly 2000 can be obtained at optical frequencies together with a low sensitivity in spatial and spectral mismatches between the light emitter and the resonance mode. The associated resonance can be tuned from the visible to the IR frequencies, enabling efficient control of forbidden transitions using plasmonic structures.

© 2011 Optical Society of America

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    [CrossRef] [PubMed]
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2011 (2)

T. Grosjean, M. Mivelle, F. I. Baida, G. W. Burr, and U. C. Fischer, Nano Lett. 11, 1009 (2011).
[CrossRef] [PubMed]

C. J. Tang, P. Zhan, Z. S. Cao, J. Pan, Z. Chen, and Z. L. Wang, Phys. Rev. B 83, 041402(R) (2011).

2010 (4)

2009 (6)

N. Noginova, Y. Barnakov, H. Li, and M. A. Noginov, Opt. Express 17, 10767 (2009).
[CrossRef] [PubMed]

H. Y. Xie, P. T. Leung, and D. P. Tsai, Solid State Commun. 149, 625 (2009).
[CrossRef]

A. Kinkhabwala, Z. Yu, S. Fan, Y. Avlasevich, K. Mullen, and W. E. Moerner, Nat. Photon. 3, 654 (2009).
[CrossRef]

S. Koo, M. S. Kumar, J. Shin, D. S. Kim, and N. Park, Phys. Rev. Lett. 103, 263901 (2009).
[CrossRef]

N. Yu, A. Belyanin, J. Bao, and F. Capasso, New J. Phys. 11, 015003 (2009).
[CrossRef]

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, Nature 461, 629 (2009).
[CrossRef] [PubMed]

2008 (3)

N. Noginova, G. Zhu, M. Mavy, and M. A. Noginov, J. Appl. Phys. 103, 07E901 (2008).
[CrossRef]

Y. C. Jun, R. D. Kekatpure, J. S. White, and M. L. Brongersma, Phys. Rev. B 78, 153111 (2008).
[CrossRef]

V. P. Drachev, U. K. Chettiar, A. V. Kildishev, H. K. Yuan, W. S. Cai, and V. M. Shalaev, Opt. Express 16, 1186 (2008).
[CrossRef] [PubMed]

2007 (1)

V. Yannopapas and N. V. Vitanov, J. Phys. Condens. Matter 19, 096210 (2007).
[CrossRef]

2006 (3)

P. Anger, P. Bharadwaj, and L. Novotny, Phys. Rev. Lett. 96, 113002 (2006).
[CrossRef] [PubMed]

L. Novotny and B. Hecht, Principles of Nano-Optics(Cambridge University, 2006).

Q. Thommen and P. Mandel, Opt. Lett. 31, 1803 (2006).
[CrossRef] [PubMed]

2005 (2)

V. M. Shalaev, W. Cai, U. K. Chettiar, H. K. Yuan, A. K. Sarychev, V. P. Drachev, and A. V. Kildishev, Opt. Lett. 30, 3356 (2005).
[CrossRef]

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vucković, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

2004 (2)

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, Science 305, 788 (2004).
[CrossRef] [PubMed]

L. A. Blanco and F. J. García de Abajo, Phys. Rev. B 69, 205414 (2004).
[CrossRef]

1998 (1)

J.-M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Anger, P.

P. Anger, P. Bharadwaj, and L. Novotny, Phys. Rev. Lett. 96, 113002 (2006).
[CrossRef] [PubMed]

Arakawa, Y.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vucković, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Avlasevich, Y.

A. Kinkhabwala, Z. Yu, S. Fan, Y. Avlasevich, K. Mullen, and W. E. Moerner, Nat. Photon. 3, 654 (2009).
[CrossRef]

Baida, F. I.

T. Grosjean, M. Mivelle, F. I. Baida, G. W. Burr, and U. C. Fischer, Nano Lett. 11, 1009 (2011).
[CrossRef] [PubMed]

Bao, J.

N. Yu, A. Belyanin, J. Bao, and F. Capasso, New J. Phys. 11, 015003 (2009).
[CrossRef]

Barnakov, Y.

Bartal, G.

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, Nature 461, 629 (2009).
[CrossRef] [PubMed]

Belyanin, A.

N. Yu, A. Belyanin, J. Bao, and F. Capasso, New J. Phys. 11, 015003 (2009).
[CrossRef]

Bharadwaj, P.

P. Anger, P. Bharadwaj, and L. Novotny, Phys. Rev. Lett. 96, 113002 (2006).
[CrossRef] [PubMed]

Blanco, L. A.

L. A. Blanco and F. J. García de Abajo, Phys. Rev. B 69, 205414 (2004).
[CrossRef]

Brongersma, M. L.

Y. C. Jun, R. D. Kekatpure, J. S. White, and M. L. Brongersma, Phys. Rev. B 78, 153111 (2008).
[CrossRef]

Burr, G. W.

T. Grosjean, M. Mivelle, F. I. Baida, G. W. Burr, and U. C. Fischer, Nano Lett. 11, 1009 (2011).
[CrossRef] [PubMed]

Cai, W.

Cai, W. S.

Cao, Z. S.

C. J. Tang, P. Zhan, Z. S. Cao, J. Pan, Z. Chen, and Z. L. Wang, Phys. Rev. B 83, 041402(R) (2011).

Capasso, F.

N. Yu, A. Belyanin, J. Bao, and F. Capasso, New J. Phys. 11, 015003 (2009).
[CrossRef]

Chen, Z.

C. J. Tang, P. Zhan, Z. S. Cao, J. Pan, Z. Chen, and Z. L. Wang, Phys. Rev. B 83, 041402(R) (2011).

Chettiar, U. K.

Costard, E.

J.-M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Dai, L.

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, Nature 461, 629 (2009).
[CrossRef] [PubMed]

Drachev, V. P.

Englund, D.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vucković, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Fan, S.

A. Kinkhabwala, Z. Yu, S. Fan, Y. Avlasevich, K. Mullen, and W. E. Moerner, Nat. Photon. 3, 654 (2009).
[CrossRef]

Fattal, D.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vucković, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Fischer, U. C.

T. Grosjean, M. Mivelle, F. I. Baida, G. W. Burr, and U. C. Fischer, Nano Lett. 11, 1009 (2011).
[CrossRef] [PubMed]

Garcia de Abajo, F. J.

M. Kuttge, F. J. Garcia de Abajo, and A. Polman, Nano Lett. 10, 1537 (2010).
[CrossRef]

García de Abajo, F. J.

L. A. Blanco and F. J. García de Abajo, Phys. Rev. B 69, 205414 (2004).
[CrossRef]

Gayral, B.

J.-M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Gérard, J.-M.

J.-M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Gladden, C.

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, Nature 461, 629 (2009).
[CrossRef] [PubMed]

Grosjean, T.

T. Grosjean, M. Mivelle, F. I. Baida, G. W. Burr, and U. C. Fischer, Nano Lett. 11, 1009 (2011).
[CrossRef] [PubMed]

Hecht, B.

L. Novotny and B. Hecht, Principles of Nano-Optics(Cambridge University, 2006).

Jun, Y. C.

Y. C. Jun, R. D. Kekatpure, J. S. White, and M. L. Brongersma, Phys. Rev. B 78, 153111 (2008).
[CrossRef]

Karaveli, S.

Kekatpure, R. D.

Y. C. Jun, R. D. Kekatpure, J. S. White, and M. L. Brongersma, Phys. Rev. B 78, 153111 (2008).
[CrossRef]

Kildishev, A. V.

Kim, D. S.

S. Koo, M. S. Kumar, J. Shin, D. S. Kim, and N. Park, Phys. Rev. Lett. 103, 263901 (2009).
[CrossRef]

Kinkhabwala, A.

A. Kinkhabwala, Z. Yu, S. Fan, Y. Avlasevich, K. Mullen, and W. E. Moerner, Nat. Photon. 3, 654 (2009).
[CrossRef]

Koo, S.

S. Koo, M. S. Kumar, J. Shin, D. S. Kim, and N. Park, Phys. Rev. Lett. 103, 263901 (2009).
[CrossRef]

Kumar, M. S.

S. Koo, M. S. Kumar, J. Shin, D. S. Kim, and N. Park, Phys. Rev. Lett. 103, 263901 (2009).
[CrossRef]

Kuttge, M.

M. Kuttge, F. J. Garcia de Abajo, and A. Polman, Nano Lett. 10, 1537 (2010).
[CrossRef]

Legrand, B.

J.-M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Leung, P. T.

H. Y. Xie, P. T. Leung, and D. P. Tsai, Solid State Commun. 149, 625 (2009).
[CrossRef]

Li, H.

Liu, H.

Ma, R.-M.

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, Nature 461, 629 (2009).
[CrossRef] [PubMed]

Mandel, P.

Mavy, M.

N. Noginova, G. Zhu, M. Mavy, and M. A. Noginov, J. Appl. Phys. 103, 07E901 (2008).
[CrossRef]

Mivelle, M.

T. Grosjean, M. Mivelle, F. I. Baida, G. W. Burr, and U. C. Fischer, Nano Lett. 11, 1009 (2011).
[CrossRef] [PubMed]

Moerner, W. E.

A. Kinkhabwala, Z. Yu, S. Fan, Y. Avlasevich, K. Mullen, and W. E. Moerner, Nat. Photon. 3, 654 (2009).
[CrossRef]

Mullen, K.

A. Kinkhabwala, Z. Yu, S. Fan, Y. Avlasevich, K. Mullen, and W. E. Moerner, Nat. Photon. 3, 654 (2009).
[CrossRef]

Nakaoka, T.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vucković, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Noginov, M. A.

Noginova, N.

N. Noginova, Y. Barnakov, H. Li, and M. A. Noginov, Opt. Express 17, 10767 (2009).
[CrossRef] [PubMed]

N. Noginova, G. Zhu, M. Mavy, and M. A. Noginov, J. Appl. Phys. 103, 07E901 (2008).
[CrossRef]

Novotny, L.

P. Anger, P. Bharadwaj, and L. Novotny, Phys. Rev. Lett. 96, 113002 (2006).
[CrossRef] [PubMed]

L. Novotny and B. Hecht, Principles of Nano-Optics(Cambridge University, 2006).

Oulton, R. F.

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, Nature 461, 629 (2009).
[CrossRef] [PubMed]

Pan, J.

C. J. Tang, P. Zhan, Z. S. Cao, J. Pan, Z. Chen, and Z. L. Wang, Phys. Rev. B 83, 041402(R) (2011).

Park, N.

S. Koo, M. S. Kumar, J. Shin, D. S. Kim, and N. Park, Phys. Rev. Lett. 103, 263901 (2009).
[CrossRef]

Pendry, J. B.

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, Science 305, 788 (2004).
[CrossRef] [PubMed]

Polman, A.

M. Kuttge, F. J. Garcia de Abajo, and A. Polman, Nano Lett. 10, 1537 (2010).
[CrossRef]

Sarychev, A. K.

Sermage, B.

J.-M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Shalaev, V. M.

Shin, J.

S. Koo, M. S. Kumar, J. Shin, D. S. Kim, and N. Park, Phys. Rev. Lett. 103, 263901 (2009).
[CrossRef]

Smith, D. R.

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, Science 305, 788 (2004).
[CrossRef] [PubMed]

Solomon, G.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vucković, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Sorger, V. J.

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, Nature 461, 629 (2009).
[CrossRef] [PubMed]

Tang, C. J.

C. J. Tang, P. Zhan, Z. S. Cao, J. Pan, Z. Chen, and Z. L. Wang, Phys. Rev. B 83, 041402(R) (2011).

Thierry-Mieg, V.

J.-M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

Thommen, Q.

Tsai, D. P.

H. Y. Xie, P. T. Leung, and D. P. Tsai, Solid State Commun. 149, 625 (2009).
[CrossRef]

Vitanov, N. V.

V. Yannopapas and N. V. Vitanov, J. Phys. Condens. Matter 19, 096210 (2007).
[CrossRef]

Vuckovic, J.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vucković, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Waks, E.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vucković, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Wang, S. M.

Wang, Z. L.

C. J. Tang, P. Zhan, Z. S. Cao, J. Pan, Z. Chen, and Z. L. Wang, Phys. Rev. B 83, 041402(R) (2011).

White, J. S.

Y. C. Jun, R. D. Kekatpure, J. S. White, and M. L. Brongersma, Phys. Rev. B 78, 153111 (2008).
[CrossRef]

Wiltshire, M. C. K.

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, Science 305, 788 (2004).
[CrossRef] [PubMed]

Xie, H. Y.

H. Y. Xie, P. T. Leung, and D. P. Tsai, Solid State Commun. 149, 625 (2009).
[CrossRef]

Yamamoto, Y.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vucković, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Yannopapas, V.

V. Yannopapas and N. V. Vitanov, J. Phys. Condens. Matter 19, 096210 (2007).
[CrossRef]

Ye, W. M.

Yu, N.

N. Yu, A. Belyanin, J. Bao, and F. Capasso, New J. Phys. 11, 015003 (2009).
[CrossRef]

Yu, Z.

A. Kinkhabwala, Z. Yu, S. Fan, Y. Avlasevich, K. Mullen, and W. E. Moerner, Nat. Photon. 3, 654 (2009).
[CrossRef]

Yuan, H. K.

Yuan, X. D.

Zentgraf, T.

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, Nature 461, 629 (2009).
[CrossRef] [PubMed]

Zhan, P.

C. J. Tang, P. Zhan, Z. S. Cao, J. Pan, Z. Chen, and Z. L. Wang, Phys. Rev. B 83, 041402(R) (2011).

Zhang, B.

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vucković, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

Zhang, X.

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, Nature 461, 629 (2009).
[CrossRef] [PubMed]

Zhu, G.

N. Noginova, G. Zhu, M. Mavy, and M. A. Noginov, J. Appl. Phys. 103, 07E901 (2008).
[CrossRef]

Zhu, S. N.

Zhu, Z. H.

Zia, R.

J. Appl. Phys. (1)

N. Noginova, G. Zhu, M. Mavy, and M. A. Noginov, J. Appl. Phys. 103, 07E901 (2008).
[CrossRef]

J. Phys. Condens. Matter (1)

V. Yannopapas and N. V. Vitanov, J. Phys. Condens. Matter 19, 096210 (2007).
[CrossRef]

Nano Lett. (2)

M. Kuttge, F. J. Garcia de Abajo, and A. Polman, Nano Lett. 10, 1537 (2010).
[CrossRef]

T. Grosjean, M. Mivelle, F. I. Baida, G. W. Burr, and U. C. Fischer, Nano Lett. 11, 1009 (2011).
[CrossRef] [PubMed]

Nat. Photon. (1)

A. Kinkhabwala, Z. Yu, S. Fan, Y. Avlasevich, K. Mullen, and W. E. Moerner, Nat. Photon. 3, 654 (2009).
[CrossRef]

Nature (1)

R. F. Oulton, V. J. Sorger, T. Zentgraf, R.-M. Ma, C. Gladden, L. Dai, G. Bartal, and X. Zhang, Nature 461, 629 (2009).
[CrossRef] [PubMed]

New J. Phys. (1)

N. Yu, A. Belyanin, J. Bao, and F. Capasso, New J. Phys. 11, 015003 (2009).
[CrossRef]

Opt. Express (2)

Opt. Lett. (5)

Phys. Rev. B (3)

C. J. Tang, P. Zhan, Z. S. Cao, J. Pan, Z. Chen, and Z. L. Wang, Phys. Rev. B 83, 041402(R) (2011).

Y. C. Jun, R. D. Kekatpure, J. S. White, and M. L. Brongersma, Phys. Rev. B 78, 153111 (2008).
[CrossRef]

L. A. Blanco and F. J. García de Abajo, Phys. Rev. B 69, 205414 (2004).
[CrossRef]

Phys. Rev. Lett. (4)

J.-M. Gérard, B. Sermage, B. Gayral, B. Legrand, E. Costard, and V. Thierry-Mieg, Phys. Rev. Lett. 81, 1110 (1998).
[CrossRef]

D. Englund, D. Fattal, E. Waks, G. Solomon, B. Zhang, T. Nakaoka, Y. Arakawa, Y. Yamamoto, and J. Vucković, Phys. Rev. Lett. 95, 013904 (2005).
[CrossRef] [PubMed]

P. Anger, P. Bharadwaj, and L. Novotny, Phys. Rev. Lett. 96, 113002 (2006).
[CrossRef] [PubMed]

S. Koo, M. S. Kumar, J. Shin, D. S. Kim, and N. Park, Phys. Rev. Lett. 103, 263901 (2009).
[CrossRef]

Science (1)

D. R. Smith, J. B. Pendry, and M. C. K. Wiltshire, Science 305, 788 (2004).
[CrossRef] [PubMed]

Solid State Commun. (1)

H. Y. Xie, P. T. Leung, and D. P. Tsai, Solid State Commun. 149, 625 (2009).
[CrossRef]

Other (1)

L. Novotny and B. Hecht, Principles of Nano-Optics(Cambridge University, 2006).

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Figures (4)

Fig. 1
Fig. 1

Magnetic plasmonic structure. (a) Thin glass layer (thickness 20 nm and width 280 nm ) is sandwiched between two identical square gold patches (thickness 50 nm and width 260 nm ). H x -field pattern on the (b)  x y and (c)  y z plane cutting through the middle of the structure when the structure is excited by a magnetic field pointing in the x direction at the resonating wavelength of 1550 nm . Red color indicates high magnitudes. Arrows show the polarization density for the magnetic resonance with a current loop.

Fig. 2
Fig. 2

Enhancement factor spectra of the total decay rate (black) and the radiative decay rate (red, 3 × muliplied). Quantum size effect is considered with α. (inset) Electric ( | E z | in log scale) field pattern for the structure excited by the magnetic light emitter. Red/blue color denotes high/low values.

Fig. 3
Fig. 3

Enhancement factors of total decay rate (black) and radiative decay rate (red) as a function of distance d for an MD (pointing in x direction) displaced from the center of the structure in y direction.

Fig. 4
Fig. 4

Magnetic resonance wavelength (red) as a function of the width (a) of the gold patches. The corresponding enhancement factor at resonance wavelength for the radiative decay rate is shown in black.

Equations (3)

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P = 1 2 Re ( J * · E ) d 3 r = ω 2 Im ( m * · B ( r 0 ) ) ,
P = ( ω / 2 ) lim r r 0 [ Im ( m * · G m ( r , r 0 ) · m ) ] .
γ r / γ 0 = P r P 0 , γ / γ 0 = P r + P abs P 0 ,

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