Abstract

We present a new way to obtain large spin Hall effect of light (SHEL) in nonparaxial situations. We use near field of dipoles which contain all plane waves, both homogeneous and evanescent. We base SHEL on dipole–dipole interaction initiated energy transfer (FRET), which we further enhance using plasmonic platforms. The spin–orbit coupling inherent in Maxwell equations is seen in the conversion of a σ+ photon to a σ photon. The FRET is mediated by the resonant surface plasmons (SPs), and hence we find very large SHEL. We present explicit results for SHEL on metal films. We also study how the splitting of the SP on a metal film affects the SHEL.

© 2013 Optical Society of America

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  1. C.-F. Li, Phys. Rev. A 80, 063814 (2009).
    [CrossRef]
  2. K. Y. Bliokh and F. Nori, Phys. Rev. A 85, 061801 (2012).
    [CrossRef]
  3. O. Hosten and P. Kwiat, Science 319, 787 (2008).
    [CrossRef]
  4. D. Haefner, S. Sukhov, and A. Dogariu, Phys. Rev. Lett. 102, 123903 (2009).
    [CrossRef]
  5. C. Bonnet, D. Chauvat, O. Emile, F. Bretenaker, A. Le Floch, and L. Dutriaux, Opt. Lett. 26, 666 (2001).
    [CrossRef]
  6. N. Hermosa, A. M. Nugrowati, A. Aiello, and J. P. Woerdman, Opt. Lett. 36, 3200 (2011).
    [CrossRef]
  7. F. I. Fedorov, Dokl. Akad. Nauk. SSR 105, 465 (1955).
  8. C. Imbert, Phys. Rev. D 5, 787 (1972).
    [CrossRef]
  9. M. V. Berry, Proc. R. Soc. A 467, 2500 (2011).
    [CrossRef]
  10. C. Schwartz and A. Dogariu, Opt. Express 14, 8425 (2006).
    [CrossRef]
  11. H. F. Arnoldus, X. Li, and J. Shu, Opt. Lett 33, 1446 (2008).
    [CrossRef]
  12. K. J. Russell, T.-L. Liu, S. Cui, and E. L. Hu, Nat. Photonics 6, 459 (2012).
    [CrossRef]
  13. E. Rousseau, A. Siria, G. Jourdan, S. Volz, F. Comin, J. Chevrier, and J.-J. Greffet, Nat. Photonics 3, 514 (2009).
    [CrossRef]
  14. Y. Gu, L. Wang, P. Ren, J. Zhang, T. Zhang, O. J. F. Martin, and Q. Gong, Nano Lett. 12, 2488 (2012).
    [CrossRef]
  15. C. Blum, N. Zijlstra, A. Lagendijk, M. Wubs, A. P. Mosk, V. Subramaniam, and W. L. Vos, Phys. Rev. Lett. 109, 203601 (2012).
    [CrossRef]
  16. F. Le Kien, S. Dutta Gupta, V. I. Balykin, and K. Hakuta, Phys. Rev. A 72, 032509 (2005).
    [CrossRef]
  17. A. Goban, K. S. Choi, D. J. Alton, D. Ding, C. Lacroûte, M. Pototschnig, T. Thiele, N. P. Stern, and H. J. Kimble, Phys. Rev. Lett. 109, 033603 (2012).
    [CrossRef]
  18. G. S. Agarwal, Quantum Optics (Cambridge University, 2012), p. 356.
  19. L. Novotny and B. Hecht, Nano-Optics (Cambridge University, 2012).
  20. f(κ,ω,z)=2πiκk0γ0[(1+rse2iγ0z)∓(γ02/k02)(1−rpe2iγ0z)]; the upper sign is for Dsh and the lower sign is for Dn.
  21. P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
    [CrossRef]
  22. B. Gallinet, T. Siegfried, H. Sigg, P. Nordlander, and O. J. F. Martin, Nano Lett. 13, 497 (2013).
    [CrossRef]
  23. D. Sarid, Phys. Rev. Lett. 47, 1927 (1981).
    [CrossRef]
  24. L. Novotny and N. van Hulst, Nat. Photonics 5, 83 (2011).
    [CrossRef]

2013 (1)

B. Gallinet, T. Siegfried, H. Sigg, P. Nordlander, and O. J. F. Martin, Nano Lett. 13, 497 (2013).
[CrossRef]

2012 (5)

K. Y. Bliokh and F. Nori, Phys. Rev. A 85, 061801 (2012).
[CrossRef]

K. J. Russell, T.-L. Liu, S. Cui, and E. L. Hu, Nat. Photonics 6, 459 (2012).
[CrossRef]

Y. Gu, L. Wang, P. Ren, J. Zhang, T. Zhang, O. J. F. Martin, and Q. Gong, Nano Lett. 12, 2488 (2012).
[CrossRef]

C. Blum, N. Zijlstra, A. Lagendijk, M. Wubs, A. P. Mosk, V. Subramaniam, and W. L. Vos, Phys. Rev. Lett. 109, 203601 (2012).
[CrossRef]

A. Goban, K. S. Choi, D. J. Alton, D. Ding, C. Lacroûte, M. Pototschnig, T. Thiele, N. P. Stern, and H. J. Kimble, Phys. Rev. Lett. 109, 033603 (2012).
[CrossRef]

2011 (3)

M. V. Berry, Proc. R. Soc. A 467, 2500 (2011).
[CrossRef]

N. Hermosa, A. M. Nugrowati, A. Aiello, and J. P. Woerdman, Opt. Lett. 36, 3200 (2011).
[CrossRef]

L. Novotny and N. van Hulst, Nat. Photonics 5, 83 (2011).
[CrossRef]

2009 (3)

C.-F. Li, Phys. Rev. A 80, 063814 (2009).
[CrossRef]

D. Haefner, S. Sukhov, and A. Dogariu, Phys. Rev. Lett. 102, 123903 (2009).
[CrossRef]

E. Rousseau, A. Siria, G. Jourdan, S. Volz, F. Comin, J. Chevrier, and J.-J. Greffet, Nat. Photonics 3, 514 (2009).
[CrossRef]

2008 (2)

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[CrossRef]

H. F. Arnoldus, X. Li, and J. Shu, Opt. Lett 33, 1446 (2008).
[CrossRef]

2006 (1)

2005 (1)

F. Le Kien, S. Dutta Gupta, V. I. Balykin, and K. Hakuta, Phys. Rev. A 72, 032509 (2005).
[CrossRef]

2001 (1)

1981 (1)

D. Sarid, Phys. Rev. Lett. 47, 1927 (1981).
[CrossRef]

1972 (2)

C. Imbert, Phys. Rev. D 5, 787 (1972).
[CrossRef]

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

1955 (1)

F. I. Fedorov, Dokl. Akad. Nauk. SSR 105, 465 (1955).

Agarwal, G. S.

G. S. Agarwal, Quantum Optics (Cambridge University, 2012), p. 356.

Aiello, A.

Alton, D. J.

A. Goban, K. S. Choi, D. J. Alton, D. Ding, C. Lacroûte, M. Pototschnig, T. Thiele, N. P. Stern, and H. J. Kimble, Phys. Rev. Lett. 109, 033603 (2012).
[CrossRef]

Arnoldus, H. F.

H. F. Arnoldus, X. Li, and J. Shu, Opt. Lett 33, 1446 (2008).
[CrossRef]

Balykin, V. I.

F. Le Kien, S. Dutta Gupta, V. I. Balykin, and K. Hakuta, Phys. Rev. A 72, 032509 (2005).
[CrossRef]

Berry, M. V.

M. V. Berry, Proc. R. Soc. A 467, 2500 (2011).
[CrossRef]

Bliokh, K. Y.

K. Y. Bliokh and F. Nori, Phys. Rev. A 85, 061801 (2012).
[CrossRef]

Blum, C.

C. Blum, N. Zijlstra, A. Lagendijk, M. Wubs, A. P. Mosk, V. Subramaniam, and W. L. Vos, Phys. Rev. Lett. 109, 203601 (2012).
[CrossRef]

Bonnet, C.

Bretenaker, F.

Chauvat, D.

Chevrier, J.

E. Rousseau, A. Siria, G. Jourdan, S. Volz, F. Comin, J. Chevrier, and J.-J. Greffet, Nat. Photonics 3, 514 (2009).
[CrossRef]

Choi, K. S.

A. Goban, K. S. Choi, D. J. Alton, D. Ding, C. Lacroûte, M. Pototschnig, T. Thiele, N. P. Stern, and H. J. Kimble, Phys. Rev. Lett. 109, 033603 (2012).
[CrossRef]

Christy, R. W.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Comin, F.

E. Rousseau, A. Siria, G. Jourdan, S. Volz, F. Comin, J. Chevrier, and J.-J. Greffet, Nat. Photonics 3, 514 (2009).
[CrossRef]

Cui, S.

K. J. Russell, T.-L. Liu, S. Cui, and E. L. Hu, Nat. Photonics 6, 459 (2012).
[CrossRef]

Ding, D.

A. Goban, K. S. Choi, D. J. Alton, D. Ding, C. Lacroûte, M. Pototschnig, T. Thiele, N. P. Stern, and H. J. Kimble, Phys. Rev. Lett. 109, 033603 (2012).
[CrossRef]

Dogariu, A.

D. Haefner, S. Sukhov, and A. Dogariu, Phys. Rev. Lett. 102, 123903 (2009).
[CrossRef]

C. Schwartz and A. Dogariu, Opt. Express 14, 8425 (2006).
[CrossRef]

Dutriaux, L.

Dutta Gupta, S.

F. Le Kien, S. Dutta Gupta, V. I. Balykin, and K. Hakuta, Phys. Rev. A 72, 032509 (2005).
[CrossRef]

Emile, O.

Fedorov, F. I.

F. I. Fedorov, Dokl. Akad. Nauk. SSR 105, 465 (1955).

Gallinet, B.

B. Gallinet, T. Siegfried, H. Sigg, P. Nordlander, and O. J. F. Martin, Nano Lett. 13, 497 (2013).
[CrossRef]

Goban, A.

A. Goban, K. S. Choi, D. J. Alton, D. Ding, C. Lacroûte, M. Pototschnig, T. Thiele, N. P. Stern, and H. J. Kimble, Phys. Rev. Lett. 109, 033603 (2012).
[CrossRef]

Gong, Q.

Y. Gu, L. Wang, P. Ren, J. Zhang, T. Zhang, O. J. F. Martin, and Q. Gong, Nano Lett. 12, 2488 (2012).
[CrossRef]

Greffet, J.-J.

E. Rousseau, A. Siria, G. Jourdan, S. Volz, F. Comin, J. Chevrier, and J.-J. Greffet, Nat. Photonics 3, 514 (2009).
[CrossRef]

Gu, Y.

Y. Gu, L. Wang, P. Ren, J. Zhang, T. Zhang, O. J. F. Martin, and Q. Gong, Nano Lett. 12, 2488 (2012).
[CrossRef]

Haefner, D.

D. Haefner, S. Sukhov, and A. Dogariu, Phys. Rev. Lett. 102, 123903 (2009).
[CrossRef]

Hakuta, K.

F. Le Kien, S. Dutta Gupta, V. I. Balykin, and K. Hakuta, Phys. Rev. A 72, 032509 (2005).
[CrossRef]

Hecht, B.

L. Novotny and B. Hecht, Nano-Optics (Cambridge University, 2012).

Hermosa, N.

Hosten, O.

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[CrossRef]

Hu, E. L.

K. J. Russell, T.-L. Liu, S. Cui, and E. L. Hu, Nat. Photonics 6, 459 (2012).
[CrossRef]

Imbert, C.

C. Imbert, Phys. Rev. D 5, 787 (1972).
[CrossRef]

Johnson, P. B.

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Jourdan, G.

E. Rousseau, A. Siria, G. Jourdan, S. Volz, F. Comin, J. Chevrier, and J.-J. Greffet, Nat. Photonics 3, 514 (2009).
[CrossRef]

Kimble, H. J.

A. Goban, K. S. Choi, D. J. Alton, D. Ding, C. Lacroûte, M. Pototschnig, T. Thiele, N. P. Stern, and H. J. Kimble, Phys. Rev. Lett. 109, 033603 (2012).
[CrossRef]

Kwiat, P.

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[CrossRef]

Lacroûte, C.

A. Goban, K. S. Choi, D. J. Alton, D. Ding, C. Lacroûte, M. Pototschnig, T. Thiele, N. P. Stern, and H. J. Kimble, Phys. Rev. Lett. 109, 033603 (2012).
[CrossRef]

Lagendijk, A.

C. Blum, N. Zijlstra, A. Lagendijk, M. Wubs, A. P. Mosk, V. Subramaniam, and W. L. Vos, Phys. Rev. Lett. 109, 203601 (2012).
[CrossRef]

Le Floch, A.

Le Kien, F.

F. Le Kien, S. Dutta Gupta, V. I. Balykin, and K. Hakuta, Phys. Rev. A 72, 032509 (2005).
[CrossRef]

Li, C.-F.

C.-F. Li, Phys. Rev. A 80, 063814 (2009).
[CrossRef]

Li, X.

H. F. Arnoldus, X. Li, and J. Shu, Opt. Lett 33, 1446 (2008).
[CrossRef]

Liu, T.-L.

K. J. Russell, T.-L. Liu, S. Cui, and E. L. Hu, Nat. Photonics 6, 459 (2012).
[CrossRef]

Martin, O. J. F.

B. Gallinet, T. Siegfried, H. Sigg, P. Nordlander, and O. J. F. Martin, Nano Lett. 13, 497 (2013).
[CrossRef]

Y. Gu, L. Wang, P. Ren, J. Zhang, T. Zhang, O. J. F. Martin, and Q. Gong, Nano Lett. 12, 2488 (2012).
[CrossRef]

Mosk, A. P.

C. Blum, N. Zijlstra, A. Lagendijk, M. Wubs, A. P. Mosk, V. Subramaniam, and W. L. Vos, Phys. Rev. Lett. 109, 203601 (2012).
[CrossRef]

Nordlander, P.

B. Gallinet, T. Siegfried, H. Sigg, P. Nordlander, and O. J. F. Martin, Nano Lett. 13, 497 (2013).
[CrossRef]

Nori, F.

K. Y. Bliokh and F. Nori, Phys. Rev. A 85, 061801 (2012).
[CrossRef]

Novotny, L.

L. Novotny and N. van Hulst, Nat. Photonics 5, 83 (2011).
[CrossRef]

L. Novotny and B. Hecht, Nano-Optics (Cambridge University, 2012).

Nugrowati, A. M.

Pototschnig, M.

A. Goban, K. S. Choi, D. J. Alton, D. Ding, C. Lacroûte, M. Pototschnig, T. Thiele, N. P. Stern, and H. J. Kimble, Phys. Rev. Lett. 109, 033603 (2012).
[CrossRef]

Ren, P.

Y. Gu, L. Wang, P. Ren, J. Zhang, T. Zhang, O. J. F. Martin, and Q. Gong, Nano Lett. 12, 2488 (2012).
[CrossRef]

Rousseau, E.

E. Rousseau, A. Siria, G. Jourdan, S. Volz, F. Comin, J. Chevrier, and J.-J. Greffet, Nat. Photonics 3, 514 (2009).
[CrossRef]

Russell, K. J.

K. J. Russell, T.-L. Liu, S. Cui, and E. L. Hu, Nat. Photonics 6, 459 (2012).
[CrossRef]

Sarid, D.

D. Sarid, Phys. Rev. Lett. 47, 1927 (1981).
[CrossRef]

Schwartz, C.

Shu, J.

H. F. Arnoldus, X. Li, and J. Shu, Opt. Lett 33, 1446 (2008).
[CrossRef]

Siegfried, T.

B. Gallinet, T. Siegfried, H. Sigg, P. Nordlander, and O. J. F. Martin, Nano Lett. 13, 497 (2013).
[CrossRef]

Sigg, H.

B. Gallinet, T. Siegfried, H. Sigg, P. Nordlander, and O. J. F. Martin, Nano Lett. 13, 497 (2013).
[CrossRef]

Siria, A.

E. Rousseau, A. Siria, G. Jourdan, S. Volz, F. Comin, J. Chevrier, and J.-J. Greffet, Nat. Photonics 3, 514 (2009).
[CrossRef]

Stern, N. P.

A. Goban, K. S. Choi, D. J. Alton, D. Ding, C. Lacroûte, M. Pototschnig, T. Thiele, N. P. Stern, and H. J. Kimble, Phys. Rev. Lett. 109, 033603 (2012).
[CrossRef]

Subramaniam, V.

C. Blum, N. Zijlstra, A. Lagendijk, M. Wubs, A. P. Mosk, V. Subramaniam, and W. L. Vos, Phys. Rev. Lett. 109, 203601 (2012).
[CrossRef]

Sukhov, S.

D. Haefner, S. Sukhov, and A. Dogariu, Phys. Rev. Lett. 102, 123903 (2009).
[CrossRef]

Thiele, T.

A. Goban, K. S. Choi, D. J. Alton, D. Ding, C. Lacroûte, M. Pototschnig, T. Thiele, N. P. Stern, and H. J. Kimble, Phys. Rev. Lett. 109, 033603 (2012).
[CrossRef]

van Hulst, N.

L. Novotny and N. van Hulst, Nat. Photonics 5, 83 (2011).
[CrossRef]

Volz, S.

E. Rousseau, A. Siria, G. Jourdan, S. Volz, F. Comin, J. Chevrier, and J.-J. Greffet, Nat. Photonics 3, 514 (2009).
[CrossRef]

Vos, W. L.

C. Blum, N. Zijlstra, A. Lagendijk, M. Wubs, A. P. Mosk, V. Subramaniam, and W. L. Vos, Phys. Rev. Lett. 109, 203601 (2012).
[CrossRef]

Wang, L.

Y. Gu, L. Wang, P. Ren, J. Zhang, T. Zhang, O. J. F. Martin, and Q. Gong, Nano Lett. 12, 2488 (2012).
[CrossRef]

Woerdman, J. P.

Wubs, M.

C. Blum, N. Zijlstra, A. Lagendijk, M. Wubs, A. P. Mosk, V. Subramaniam, and W. L. Vos, Phys. Rev. Lett. 109, 203601 (2012).
[CrossRef]

Zhang, J.

Y. Gu, L. Wang, P. Ren, J. Zhang, T. Zhang, O. J. F. Martin, and Q. Gong, Nano Lett. 12, 2488 (2012).
[CrossRef]

Zhang, T.

Y. Gu, L. Wang, P. Ren, J. Zhang, T. Zhang, O. J. F. Martin, and Q. Gong, Nano Lett. 12, 2488 (2012).
[CrossRef]

Zijlstra, N.

C. Blum, N. Zijlstra, A. Lagendijk, M. Wubs, A. P. Mosk, V. Subramaniam, and W. L. Vos, Phys. Rev. Lett. 109, 203601 (2012).
[CrossRef]

Dokl. Akad. Nauk. SSR (1)

F. I. Fedorov, Dokl. Akad. Nauk. SSR 105, 465 (1955).

Nano Lett. (2)

Y. Gu, L. Wang, P. Ren, J. Zhang, T. Zhang, O. J. F. Martin, and Q. Gong, Nano Lett. 12, 2488 (2012).
[CrossRef]

B. Gallinet, T. Siegfried, H. Sigg, P. Nordlander, and O. J. F. Martin, Nano Lett. 13, 497 (2013).
[CrossRef]

Nat. Photonics (3)

L. Novotny and N. van Hulst, Nat. Photonics 5, 83 (2011).
[CrossRef]

K. J. Russell, T.-L. Liu, S. Cui, and E. L. Hu, Nat. Photonics 6, 459 (2012).
[CrossRef]

E. Rousseau, A. Siria, G. Jourdan, S. Volz, F. Comin, J. Chevrier, and J.-J. Greffet, Nat. Photonics 3, 514 (2009).
[CrossRef]

Opt. Express (1)

Opt. Lett (1)

H. F. Arnoldus, X. Li, and J. Shu, Opt. Lett 33, 1446 (2008).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (3)

C.-F. Li, Phys. Rev. A 80, 063814 (2009).
[CrossRef]

K. Y. Bliokh and F. Nori, Phys. Rev. A 85, 061801 (2012).
[CrossRef]

F. Le Kien, S. Dutta Gupta, V. I. Balykin, and K. Hakuta, Phys. Rev. A 72, 032509 (2005).
[CrossRef]

Phys. Rev. B (1)

P. B. Johnson and R. W. Christy, Phys. Rev. B 6, 4370 (1972).
[CrossRef]

Phys. Rev. D (1)

C. Imbert, Phys. Rev. D 5, 787 (1972).
[CrossRef]

Phys. Rev. Lett. (4)

A. Goban, K. S. Choi, D. J. Alton, D. Ding, C. Lacroûte, M. Pototschnig, T. Thiele, N. P. Stern, and H. J. Kimble, Phys. Rev. Lett. 109, 033603 (2012).
[CrossRef]

C. Blum, N. Zijlstra, A. Lagendijk, M. Wubs, A. P. Mosk, V. Subramaniam, and W. L. Vos, Phys. Rev. Lett. 109, 203601 (2012).
[CrossRef]

D. Haefner, S. Sukhov, and A. Dogariu, Phys. Rev. Lett. 102, 123903 (2009).
[CrossRef]

D. Sarid, Phys. Rev. Lett. 47, 1927 (1981).
[CrossRef]

Proc. R. Soc. A (1)

M. V. Berry, Proc. R. Soc. A 467, 2500 (2011).
[CrossRef]

Science (1)

O. Hosten and P. Kwiat, Science 319, 787 (2008).
[CrossRef]

Other (3)

G. S. Agarwal, Quantum Optics (Cambridge University, 2012), p. 356.

L. Novotny and B. Hecht, Nano-Optics (Cambridge University, 2012).

f(κ,ω,z)=2πiκk0γ0[(1+rse2iγ0z)∓(γ02/k02)(1−rpe2iγ0z)]; the upper sign is for Dsh and the lower sign is for Dn.

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Figures (3)

Fig. 1.
Fig. 1.

Sketch of the excitation transfer between atom A and B.

Fig. 2.
Fig. 2.

R from Eq. (8) as function of the wavelength. The inset shows a semilogarithmic plot of Dsh(v) from Eq. (7) for the same wavelength range.

Fig. 3.
Fig. 3.

(a) E for semi-infinite silver as function of wavelength. The inset shows Dsh/Dn for the same distances and wavelength range. (b) E for semi-infinite silver for different wavelengths close to the SP resonance as function of distance d. The distance is normalized to the corresponding propagation length of the SP l=1/Im(κsp), which is l(300,nm)=692nm, l(305,nm)=1458nm, l(310,nm)=2436nm, and l(315,nm)=3610nm. (c) E for a 15 nm silver film on silica as function of wavelength. The inset shows a 3D plot of log(Im[rp(ω,κ)]) from Eq. (11) for the same wavelength range and lateral wavevectors κ/k0[1,10]. z=10nm in (a)–(c).

Equations (11)

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

H1(t)=α,jpα,j·E(rα,t)|eα,jgα|eiω0t+h.c.
|ψ(t)=12tdt1tdt2H1(t1)H1(t2)|ψ0,
Ct=iω02c2pB·G(rB,rA,ω0)·pA*.
Dsh=932|(GxxGyy+i[Gxy+Gyx])ω0/c|2,
Dn=932|(Gxx+Gyy)ω0/c|2.
Gij(v)(r,r,ω)=(δij+c2ω22rirj)eiωc|rr||rr|.
{Dsh(v)Dn(v)}=932|eik0dk0d{be+2iφ(2a+b)}|2,
R=Dsh(v)Dn(v)=|b|2|2a+b|2
{DshDn}=932|0dκ2π{J2(κd)e+2iφJ0(κd)}f(κ,ω,z)|2,
EDshDsh(v),
rp=γ0ϵγγ0ϵ+γ,

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