Abstract

The opposite transverse shifts for the right and left circular polarization components of a 100 fs 820 nm linearly polarized pulse focused onto GaAs are observed in situ via absorption. A time-delayed normally incident probe pulse scanned across the excitation spot detects the differential circular dichroism associated with the pump-induced transfer of spin angular momentum from light to electrons. More generally, we show that for a nonnormally incident probe, one can observe the spin Hall effect for probe light through a variety of pump-induced changes to a material’s optical properties.

© 2009 Optical Society of America

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    [CrossRef]
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    [CrossRef] [PubMed]
  10. F. Pillon, G. Herve, and S. Girard, Appl. Opt. 43, 1863 (2004).
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
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    [CrossRef]
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    [CrossRef]

2009 (3)

2008 (3)

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

C. Menzel, C. Rockstuhl, T. Paul, S. Fahr, and F. Lederer, Phys. Rev. A 77, 013810 (2008).
[CrossRef]

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

2006 (1)

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

2005 (2)

H. Zhao, X. Pan, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. B 72, 201302 (2005).
[CrossRef]

P. Nemec, Y. Kerachian, H. M. van Driel, and A. L. Smirl, Phys. Rev. B 72, 245202 (2005).
[CrossRef]

2004 (2)

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

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

2003 (1)

M. J. Stevens, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. Lett. 90, 136603 (2003).
[CrossRef] [PubMed]

2002 (1)

D. J. Hilton and C. L. Tang, Phys. Rev. Lett. 89, 146601 (2002).
[CrossRef] [PubMed]

1988 (1)

R. W. Schoenlein, W. Z. Lin, S. D. Brorson, E. P. Ippen, and J. G. Fujimoto, Solid-State Electron. 31, 443 (1988).
[CrossRef]

1972 (1)

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

1955 (1)

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

Aiello, A.

Bhat, R. D. R.

H. Zhao, X. Pan, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. B 72, 201302 (2005).
[CrossRef]

M. J. Stevens, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. Lett. 90, 136603 (2003).
[CrossRef] [PubMed]

Bliokh, K. Y.

Bliokh, Y. P.

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

Brorson, S. D.

R. W. Schoenlein, W. Z. Lin, S. D. Brorson, E. P. Ippen, and J. G. Fujimoto, Solid-State Electron. 31, 443 (1988).
[CrossRef]

Dogariu, A.

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

Fahr, S.

C. Menzel, C. Rockstuhl, T. Paul, S. Fahr, and F. Lederer, Phys. Rev. A 77, 013810 (2008).
[CrossRef]

Fedorov, F. I.

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

Fujimoto, J. G.

R. W. Schoenlein, W. Z. Lin, S. D. Brorson, E. P. Ippen, and J. G. Fujimoto, Solid-State Electron. 31, 443 (1988).
[CrossRef]

Girard, S.

Haefner, D.

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

Herve, G.

Hilton, D. J.

D. J. Hilton and C. L. Tang, Phys. Rev. Lett. 89, 146601 (2002).
[CrossRef] [PubMed]

Hosten, O.

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

Imbert, C.

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

Ippen, E. P.

R. W. Schoenlein, W. Z. Lin, S. D. Brorson, E. P. Ippen, and J. G. Fujimoto, Solid-State Electron. 31, 443 (1988).
[CrossRef]

Kerachian, Y.

P. Nemec, Y. Kerachian, H. M. van Driel, and A. L. Smirl, Phys. Rev. B 72, 245202 (2005).
[CrossRef]

Kivsharl, Y. S.

Kwiat, P.

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

Lederer, F.

C. Menzel, C. Rockstuhl, T. Paul, S. Fahr, and F. Lederer, Phys. Rev. A 77, 013810 (2008).
[CrossRef]

Lin, W. Z.

R. W. Schoenlein, W. Z. Lin, S. D. Brorson, E. P. Ippen, and J. G. Fujimoto, Solid-State Electron. 31, 443 (1988).
[CrossRef]

Meier, F.

F. Meier and B. P. Zakjarchenya, Optical Orientation (North-Holland, 1984).

Menzel, C.

C. Menzel, C. Rockstuhl, T. Paul, S. Fahr, and F. Lederer, Phys. Rev. A 77, 013810 (2008).
[CrossRef]

Merano, M.

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]

Najmaie, A.

H. Zhao, X. Pan, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. B 72, 201302 (2005).
[CrossRef]

M. J. Stevens, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. Lett. 90, 136603 (2003).
[CrossRef] [PubMed]

Nemec, P.

P. Nemec, Y. Kerachian, H. M. van Driel, and A. L. Smirl, Phys. Rev. B 72, 245202 (2005).
[CrossRef]

Onoda, M.

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

Pan, X.

H. Zhao, X. Pan, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. B 72, 201302 (2005).
[CrossRef]

Paul, T.

C. Menzel, C. Rockstuhl, T. Paul, S. Fahr, and F. Lederer, Phys. Rev. A 77, 013810 (2008).
[CrossRef]

Pillon, F.

Rockstuhl, C.

C. Menzel, C. Rockstuhl, T. Paul, S. Fahr, and F. Lederer, Phys. Rev. A 77, 013810 (2008).
[CrossRef]

Schoenlein, R. W.

R. W. Schoenlein, W. Z. Lin, S. D. Brorson, E. P. Ippen, and J. G. Fujimoto, Solid-State Electron. 31, 443 (1988).
[CrossRef]

Shadrivov, I. V.

Sipe, J. E.

H. Zhao, X. Pan, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. B 72, 201302 (2005).
[CrossRef]

M. J. Stevens, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. Lett. 90, 136603 (2003).
[CrossRef] [PubMed]

Smirl, A. L.

H. Zhao, X. Pan, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. B 72, 201302 (2005).
[CrossRef]

P. Nemec, Y. Kerachian, H. M. van Driel, and A. L. Smirl, Phys. Rev. B 72, 245202 (2005).
[CrossRef]

M. J. Stevens, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. Lett. 90, 136603 (2003).
[CrossRef] [PubMed]

Stevens, M. J.

M. J. Stevens, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. Lett. 90, 136603 (2003).
[CrossRef] [PubMed]

Sukhov, S.

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

Tang, C. L.

D. J. Hilton and C. L. Tang, Phys. Rev. Lett. 89, 146601 (2002).
[CrossRef] [PubMed]

van Driel, H. M.

H. Zhao, X. Pan, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. B 72, 201302 (2005).
[CrossRef]

P. Nemec, Y. Kerachian, H. M. van Driel, and A. L. Smirl, Phys. Rev. B 72, 245202 (2005).
[CrossRef]

M. J. Stevens, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. Lett. 90, 136603 (2003).
[CrossRef] [PubMed]

Woerdman, J. P.

Zakjarchenya, B. P.

F. Meier and B. P. Zakjarchenya, Optical Orientation (North-Holland, 1984).

Zhao, H.

H. Zhao, X. Pan, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. B 72, 201302 (2005).
[CrossRef]

Appl. Opt. (1)

Dokl. Akad. Nauk SSSR (1)

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

Opt. Lett. (3)

Phys. Rev. A (1)

C. Menzel, C. Rockstuhl, T. Paul, S. Fahr, and F. Lederer, Phys. Rev. A 77, 013810 (2008).
[CrossRef]

Phys. Rev. B (2)

H. Zhao, X. Pan, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. B 72, 201302 (2005).
[CrossRef]

P. Nemec, Y. Kerachian, H. M. van Driel, and A. L. Smirl, Phys. Rev. B 72, 245202 (2005).
[CrossRef]

Phys. Rev. D (1)

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

Phys. Rev. Lett. (5)

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]

D. J. Hilton and C. L. Tang, Phys. Rev. Lett. 89, 146601 (2002).
[CrossRef] [PubMed]

M. J. Stevens, A. L. Smirl, R. D. R. Bhat, A. Najmaie, J. E. Sipe, and H. M. van Driel, Phys. Rev. Lett. 90, 136603 (2003).
[CrossRef] [PubMed]

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

Science (1)

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

Solid-State Electron. (1)

R. W. Schoenlein, W. Z. Lin, S. D. Brorson, E. P. Ippen, and J. G. Fujimoto, Solid-State Electron. 31, 443 (1988).
[CrossRef]

Other (1)

F. Meier and B. P. Zakjarchenya, Optical Orientation (North-Holland, 1984).

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Figures (2)

Fig. 1
Fig. 1

(a) Experimental geometry used in observing SHEL via absorption in GaAs. The pump beam incident in the x z plane is transversely split into σ + and σ components, generating separated spin up and down electron populations; these are probed by a normally incident beam across the excitation spot. (b) Measured normalized change in transmission (solid dots) of the σ + polarized component of the probe beam as it is scanned along the y direction across the excitation region of a p-polarized pump beam. Also shown (open dots) is the differential transmission for the circularly polarized components. The solid curves are fits based on a Gaussian function and first derivative of a Gaussian function.

Fig. 2
Fig. 2

Apparent displacement for the SHEL measured as a function of probe incidence angle, ( θ i ) pr , while keeping a fixed angle (55°) between the pump and probe beam as indicated in the inset. The dashed line represents a theoretical prediction based on Eq. (2).

Equations (2)

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δ = w e 2 [ Δ T / T Δ T + / T + ] y = w / 2 | Δ T + / T + | y = 0 ,
Δ y SH = λ / π [ cos ( θ r ) t s / t p   cos ( θ i ) ] / sin ( θ i ) ,

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