Abstract

We report the first measurement of the spin Hall effect of light (SHEL) on an air–metal interface. The SHEL is a polarization-dependent out-of-plane shift on the reflected beam. For the case of metallic reflection with a linearly polarized incident light, both the spatial and angular variants of the shift are observed and are maximum for 45°/45° polarization, but zero for pure s and p polarization. For an incoming beam with circular polarization states however, only the spatial out-of-plane shift is present.

© 2011 Optical Society of America

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    [CrossRef] [PubMed]
  2. K. Y. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903(2006).
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  3. O. Hosten and P. Kwiat, Science 319, 787 (2008).
    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
  19. C.-F. Li, Phys. Rev. A 76, 013811 (2007).
    [CrossRef]
  20. M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University, 1999).
  21. M. Merano, A. Aiello, G. W. ’t Hooft, M. P. van Exter, E. R. Eliel, and J. P. Woerdman, Opt. Express 15, 15928 (2007).
    [CrossRef] [PubMed]
  22. P. Leung, C. Chen, and H.-P. Chiang, Opt. Commun. 281, 1312 (2008).
    [CrossRef]
  23. H. Lai, C. Kwok, Y. Loo, and B. Xu, Phys. Rev. E 62, 7330(2000).
    [CrossRef]
  24. W. Hugrass, J. Mod. Opt. 37, 339 (1990).
    [CrossRef]
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2010

J.-M. Ménard, A. E. Mattacchione, H. M. van Driel, C. Hautmann, and M. Betz, Phys. Rev. B 82, 045303 (2010).
[CrossRef]

M. Merano, N. Hermosa, J. P. Woerdman, and A. Aiello, Phys. Rev. A 82, 023817 (2010).
[CrossRef]

Y. Qin, Y. Li, X. Feng, Z. Liu, H. He, Y.-F. Xiao, and Q. Gong, Opt. Express 18, 16832 (2010).
[CrossRef] [PubMed]

M. Merano, N. Hermosa, A. Aiello, and J. P. Woerdman, Opt. Lett. 35, 3562 (2010).
[CrossRef] [PubMed]

2009

Y. Qin, Y. Li, H. He, and Q. Gong, Opt. Lett. 34, 2551 (2009).
[CrossRef] [PubMed]

A. Aiello, M. Merano, and J. P. Woerdman, Phys. Rev. A 80, 061801 (2009).
[CrossRef]

M. Merano, A. Aiello, M. van Exter, and J. Woerdman, Nat. Photon. 3, 337 (2009).
[CrossRef]

V. Fedoseyev, Opt. Commun. 282, 1247 (2009).
[CrossRef]

H. Luo, S. Wen, W. Shu, Z. Tang, Y. Zou, and D. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

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

2008

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

P. Leung, C. Chen, and H.-P. Chiang, Opt. Commun. 281, 1312 (2008).
[CrossRef]

A. Aiello and J. P. Woerdman, Opt. Lett. 33, 1437 (2008).
[CrossRef] [PubMed]

2007

2006

K. Y. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903(2006).
[CrossRef] [PubMed]

2004

M. Onoda, S. Murakami, and N. Nagaosa, Phys. Rev. Lett. 93, 083901 (2004).
[CrossRef] [PubMed]

F. Pillon, H. Gilles, and S. Girard, Appl. Opt. 43, 1863 (2004).
[CrossRef] [PubMed]

2000

H. Lai, C. Kwok, Y. Loo, and B. Xu, Phys. Rev. E 62, 7330(2000).
[CrossRef]

1999

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University, 1999).

1990

W. Hugrass, J. Mod. Opt. 37, 339 (1990).
[CrossRef]

1985

E.Palik, ed., Handbook of Optical Constants of Solids(Academic, 1985).

1972

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

1955

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

1947

F. Goos and H. Hänchen, Ann. Physik 436, 333(1947).
[CrossRef]

’t Hooft, G. W.

Aiello, A.

M. Merano, N. Hermosa, J. P. Woerdman, and A. Aiello, Phys. Rev. A 82, 023817 (2010).
[CrossRef]

M. Merano, N. Hermosa, A. Aiello, and J. P. Woerdman, Opt. Lett. 35, 3562 (2010).
[CrossRef] [PubMed]

A. Aiello, M. Merano, and J. P. Woerdman, Phys. Rev. A 80, 061801 (2009).
[CrossRef]

M. Merano, A. Aiello, M. van Exter, and J. Woerdman, Nat. Photon. 3, 337 (2009).
[CrossRef]

A. Aiello and J. P. Woerdman, Opt. Lett. 33, 1437 (2008).
[CrossRef] [PubMed]

M. Merano, A. Aiello, G. W. ’t Hooft, M. P. van Exter, E. R. Eliel, and J. P. Woerdman, Opt. Express 15, 15928 (2007).
[CrossRef] [PubMed]

Betz, M.

J.-M. Ménard, A. E. Mattacchione, H. M. van Driel, C. Hautmann, and M. Betz, Phys. Rev. B 82, 045303 (2010).
[CrossRef]

Bliokh, K. Y.

K. Y. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903(2006).
[CrossRef] [PubMed]

Bliokh, Y. P.

K. Y. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903(2006).
[CrossRef] [PubMed]

Born, M.

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University, 1999).

Chen, C.

P. Leung, C. Chen, and H.-P. Chiang, Opt. Commun. 281, 1312 (2008).
[CrossRef]

Chiang, H.-P.

P. Leung, C. Chen, and H.-P. Chiang, Opt. Commun. 281, 1312 (2008).
[CrossRef]

Dogariu, A.

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

Eliel, E. R.

Fan, D.

H. Luo, S. Wen, W. Shu, Z. Tang, Y. Zou, and D. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

Fedorov, F. I.

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

Fedoseyev, V.

V. Fedoseyev, Opt. Commun. 282, 1247 (2009).
[CrossRef]

Feng, X.

Gilles, H.

Girard, S.

Gong, Q.

Goos, F.

F. Goos and H. Hänchen, Ann. Physik 436, 333(1947).
[CrossRef]

Haefner, D.

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

Hänchen, H.

F. Goos and H. Hänchen, Ann. Physik 436, 333(1947).
[CrossRef]

Hautmann, C.

J.-M. Ménard, A. E. Mattacchione, H. M. van Driel, C. Hautmann, and M. Betz, Phys. Rev. B 82, 045303 (2010).
[CrossRef]

He, H.

Hermosa, N.

M. Merano, N. Hermosa, A. Aiello, and J. P. Woerdman, Opt. Lett. 35, 3562 (2010).
[CrossRef] [PubMed]

M. Merano, N. Hermosa, J. P. Woerdman, and A. Aiello, Phys. Rev. A 82, 023817 (2010).
[CrossRef]

Hosten, O.

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

Hugrass, W.

W. Hugrass, J. Mod. Opt. 37, 339 (1990).
[CrossRef]

Imbert, C.

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

Kwiat, P.

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

Kwok, C.

H. Lai, C. Kwok, Y. Loo, and B. Xu, Phys. Rev. E 62, 7330(2000).
[CrossRef]

Lai, H.

H. Lai, C. Kwok, Y. Loo, and B. Xu, Phys. Rev. E 62, 7330(2000).
[CrossRef]

Leung, P.

P. Leung, C. Chen, and H.-P. Chiang, Opt. Commun. 281, 1312 (2008).
[CrossRef]

Li, C.-F.

C.-F. Li, Phys. Rev. A 76, 013811 (2007).
[CrossRef]

Li, Y.

Liu, Z.

Loo, Y.

H. Lai, C. Kwok, Y. Loo, and B. Xu, Phys. Rev. E 62, 7330(2000).
[CrossRef]

Luo, H.

H. Luo, S. Wen, W. Shu, Z. Tang, Y. Zou, and D. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

Mattacchione, A. E.

J.-M. Ménard, A. E. Mattacchione, H. M. van Driel, C. Hautmann, and M. Betz, Phys. Rev. B 82, 045303 (2010).
[CrossRef]

Ménard, J.-M.

J.-M. Ménard, A. E. Mattacchione, H. M. van Driel, C. Hautmann, and M. Betz, Phys. Rev. B 82, 045303 (2010).
[CrossRef]

Merano, M.

M. Merano, N. Hermosa, J. P. Woerdman, and A. Aiello, Phys. Rev. A 82, 023817 (2010).
[CrossRef]

M. Merano, N. Hermosa, A. Aiello, and J. P. Woerdman, Opt. Lett. 35, 3562 (2010).
[CrossRef] [PubMed]

M. Merano, A. Aiello, M. van Exter, and J. Woerdman, Nat. Photon. 3, 337 (2009).
[CrossRef]

A. Aiello, M. Merano, and J. P. Woerdman, Phys. Rev. A 80, 061801 (2009).
[CrossRef]

M. Merano, A. Aiello, G. W. ’t Hooft, M. P. van Exter, E. R. Eliel, and J. P. Woerdman, Opt. Express 15, 15928 (2007).
[CrossRef] [PubMed]

Murakami, S.

M. Onoda, S. Murakami, and N. Nagaosa, Phys. Rev. Lett. 93, 083901 (2004).
[CrossRef] [PubMed]

Nagaosa, N.

M. Onoda, S. Murakami, and N. Nagaosa, Phys. Rev. Lett. 93, 083901 (2004).
[CrossRef] [PubMed]

Onoda, M.

M. Onoda, S. Murakami, and N. Nagaosa, Phys. Rev. Lett. 93, 083901 (2004).
[CrossRef] [PubMed]

Pillon, F.

Qin, Y.

Shu, W.

H. Luo, S. Wen, W. Shu, Z. Tang, Y. Zou, and D. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

Sukhov, S.

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

Tang, Z.

H. Luo, S. Wen, W. Shu, Z. Tang, Y. Zou, and D. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

van Driel, H. M.

J.-M. Ménard, A. E. Mattacchione, H. M. van Driel, C. Hautmann, and M. Betz, Phys. Rev. B 82, 045303 (2010).
[CrossRef]

van Exter, M.

M. Merano, A. Aiello, M. van Exter, and J. Woerdman, Nat. Photon. 3, 337 (2009).
[CrossRef]

van Exter, M. P.

Wen, S.

H. Luo, S. Wen, W. Shu, Z. Tang, Y. Zou, and D. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

Woerdman, J.

M. Merano, A. Aiello, M. van Exter, and J. Woerdman, Nat. Photon. 3, 337 (2009).
[CrossRef]

Woerdman, J. P.

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University, 1999).

Xiao, Y.-F.

Xu, B.

H. Lai, C. Kwok, Y. Loo, and B. Xu, Phys. Rev. E 62, 7330(2000).
[CrossRef]

Zou, Y.

H. Luo, S. Wen, W. Shu, Z. Tang, Y. Zou, and D. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

Ann. Physik

F. Goos and H. Hänchen, Ann. Physik 436, 333(1947).
[CrossRef]

Appl. Opt.

Dokl. Akad. Nauk. SSR

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

J. Mod. Opt.

W. Hugrass, J. Mod. Opt. 37, 339 (1990).
[CrossRef]

Nat. Photon.

M. Merano, A. Aiello, M. van Exter, and J. Woerdman, Nat. Photon. 3, 337 (2009).
[CrossRef]

Opt. Commun.

P. Leung, C. Chen, and H.-P. Chiang, Opt. Commun. 281, 1312 (2008).
[CrossRef]

V. Fedoseyev, Opt. Commun. 282, 1247 (2009).
[CrossRef]

Opt. Express

Opt. Lett.

Phys. Rev. A

H. Luo, S. Wen, W. Shu, Z. Tang, Y. Zou, and D. Fan, Phys. Rev. A 80, 043810 (2009).
[CrossRef]

A. Aiello, M. Merano, and J. P. Woerdman, Phys. Rev. A 80, 061801 (2009).
[CrossRef]

M. Merano, N. Hermosa, J. P. Woerdman, and A. Aiello, Phys. Rev. A 82, 023817 (2010).
[CrossRef]

C.-F. Li, Phys. Rev. A 76, 013811 (2007).
[CrossRef]

Phys. Rev. B

J.-M. Ménard, A. E. Mattacchione, H. M. van Driel, C. Hautmann, and M. Betz, Phys. Rev. B 82, 045303 (2010).
[CrossRef]

Phys. Rev. D

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

Phys. Rev. E

H. Lai, C. Kwok, Y. Loo, and B. Xu, Phys. Rev. E 62, 7330(2000).
[CrossRef]

Phys. Rev. Lett.

M. Onoda, S. Murakami, and N. Nagaosa, Phys. Rev. Lett. 93, 083901 (2004).
[CrossRef] [PubMed]

K. Y. Bliokh and Y. P. Bliokh, Phys. Rev. Lett. 96, 073903(2006).
[CrossRef] [PubMed]

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

Science

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

Other

E.Palik, ed., Handbook of Optical Constants of Solids(Academic, 1985).

M. Born and E. Wolf, Principles of Optics, 7th ed.(Cambridge University, 1999).

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Figures (4)

Fig. 1
Fig. 1

An illustration of out-of-plane spatial ( Δ ) and angular ( Θ ) shifts of a beam incident at an angle θ i , upon reflection at an interface of two media.

Fig. 2
Fig. 2

Theoretical curves for (a) spatial and (b) angular shifts of linearly (solid curves, 45 ° / 45 ° ; dotted curves, s / p ) and circularly (dashed curves, σ / + ) polarized light as a function of incident angles, calculated for gold at λ = 826 nm , n = 1.88 + i 5.39 [25].

Fig. 3
Fig. 3

The optical setup to measure the polarization-differential shift as a function of incident angle θ i . See text for details.

Fig. 4
Fig. 4

Measured (top row) spatial and (bottom row) angular polarization-differential shifts between (a),(c) 45 ° / 45 ° and (b),(d) σ / + polarized light, as a function of angle of incidence. Solid curves are theoretical curves, dots with error bars represent data with its standard deviation ( 3 σ ).

Equations (4)

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

Y r = Δ + Z r Θ Λ ,
Δ = a p a s cot θ i R p 2 a p 2 + R s 2 a s 2 [ ( R p 2 + R s 2 ) sin η + 2 R p R s sin ( η φ p + φ s ) ] ,
Θ = a p a s cot θ i R p 2 a p 2 + R s 2 a s 2 [ ( R p 2 R s 2 ) cos η ] ,
δ y r = δ U C Σ 1 U 1 C Σ 1 ( Σ 2 Σ 1 ) Σ 1 ,

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