Abstract

We present a simple technique for measuring coherence times for stationary light fields using a single detector with tunable time resolution. By measuring the equal-time second-order correlation function at varying instrument response functions it is possible to determine the coherence time and also the shape of the temporal decay without the need to record time-resolved data. The technique is demonstrated for pseudothermal light. Possible applications for dynamic light scattering and photon statistics measurements are discussed.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. R. Hanbury-Brown and R. Q. Twiss, Nature 177, 27 (1956).
    [CrossRef]
  2. G. Li, T. C. Zhang, Y. Li, and J. M. Wang, Phys. Rev. A 71, 023807 (2005).
    [CrossRef]
  3. S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, Phys. Rev. Lett. 98, 043906 (2007).
    [CrossRef]
  4. D. Walls and G. Milburn, Quantum Optics (Springer, 2008).
  5. W. Martienssen and E. Spiller, Am. J. Phys. 32, 919 (1964).
    [CrossRef]
  6. J. Kasprzak, M. Richard, A. Baas, B. Deveaud, R. André, J.-P. Poizat, and L. S. Dang, Phys. Rev. Lett. 100, 067402 (2008).
    [CrossRef]
  7. F. Boitier, A. Godard, E. Rosencher, and C. Fabre, Nat. Phys. 5, 267 (2009).
    [CrossRef]
  8. M. Assmann, F. Veit, J.-S. Tempel, T. Berstermann, H. Stolz, M. van der Poel, J. M. Hvam, and M. Bayer, Opt. Express 18, 20229 (2010).
    [CrossRef]
  9. A. Hayat, A. Nevet, and M. Orenstein, Opt. Lett. 35, 793 (2010).
    [CrossRef]
  10. M. Assmann and M. Bayer, Phys. Rev. A 84, 053806 (2011).
    [CrossRef]
  11. M. J. Stevens, B. Baek, E. A. Dauler, A. J. Kerman, R. J. Molnar, S. A. Hamilton, K. K. Berggren, R. P. Mirin, and S. W. Nam, Opt. Express 18, 1430 (2010).
    [CrossRef]
  12. J. F. Dynes, Z. L. Yuan, A. W. Sharpe, O. Thomas, and A. J. Shields, Opt. Express 19, 13268 (2011).
    [CrossRef]
  13. M. Assmann, F. Veit, M. Bayer, M. van der Poel, and J. M. Hvam, Science 325, 297 (2009).
    [CrossRef]
  14. A. Nevet, A. Hayat, and M. Orenstein, Opt. Lett. 36, 725 (2011).
    [CrossRef]
  15. M. Assmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, Phys. Rev. B 81, 165314 (2010).
    [CrossRef]

2011 (3)

2010 (4)

2009 (2)

M. Assmann, F. Veit, M. Bayer, M. van der Poel, and J. M. Hvam, Science 325, 297 (2009).
[CrossRef]

F. Boitier, A. Godard, E. Rosencher, and C. Fabre, Nat. Phys. 5, 267 (2009).
[CrossRef]

2008 (1)

J. Kasprzak, M. Richard, A. Baas, B. Deveaud, R. André, J.-P. Poizat, and L. S. Dang, Phys. Rev. Lett. 100, 067402 (2008).
[CrossRef]

2007 (1)

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef]

2005 (1)

G. Li, T. C. Zhang, Y. Li, and J. M. Wang, Phys. Rev. A 71, 023807 (2005).
[CrossRef]

1964 (1)

W. Martienssen and E. Spiller, Am. J. Phys. 32, 919 (1964).
[CrossRef]

1956 (1)

R. Hanbury-Brown and R. Q. Twiss, Nature 177, 27 (1956).
[CrossRef]

André, R.

J. Kasprzak, M. Richard, A. Baas, B. Deveaud, R. André, J.-P. Poizat, and L. S. Dang, Phys. Rev. Lett. 100, 067402 (2008).
[CrossRef]

Assmann, M.

M. Assmann and M. Bayer, Phys. Rev. A 84, 053806 (2011).
[CrossRef]

M. Assmann, F. Veit, J.-S. Tempel, T. Berstermann, H. Stolz, M. van der Poel, J. M. Hvam, and M. Bayer, Opt. Express 18, 20229 (2010).
[CrossRef]

M. Assmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, Phys. Rev. B 81, 165314 (2010).
[CrossRef]

M. Assmann, F. Veit, M. Bayer, M. van der Poel, and J. M. Hvam, Science 325, 297 (2009).
[CrossRef]

Ates, S.

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef]

Baas, A.

J. Kasprzak, M. Richard, A. Baas, B. Deveaud, R. André, J.-P. Poizat, and L. S. Dang, Phys. Rev. Lett. 100, 067402 (2008).
[CrossRef]

Baek, B.

Bayer, M.

M. Assmann and M. Bayer, Phys. Rev. A 84, 053806 (2011).
[CrossRef]

M. Assmann, F. Veit, J.-S. Tempel, T. Berstermann, H. Stolz, M. van der Poel, J. M. Hvam, and M. Bayer, Opt. Express 18, 20229 (2010).
[CrossRef]

M. Assmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, Phys. Rev. B 81, 165314 (2010).
[CrossRef]

M. Assmann, F. Veit, M. Bayer, M. van der Poel, and J. M. Hvam, Science 325, 297 (2009).
[CrossRef]

Berggren, K. K.

Berstermann, T.

Boitier, F.

F. Boitier, A. Godard, E. Rosencher, and C. Fabre, Nat. Phys. 5, 267 (2009).
[CrossRef]

Dang, L. S.

J. Kasprzak, M. Richard, A. Baas, B. Deveaud, R. André, J.-P. Poizat, and L. S. Dang, Phys. Rev. Lett. 100, 067402 (2008).
[CrossRef]

Dauler, E. A.

Deveaud, B.

J. Kasprzak, M. Richard, A. Baas, B. Deveaud, R. André, J.-P. Poizat, and L. S. Dang, Phys. Rev. Lett. 100, 067402 (2008).
[CrossRef]

Dynes, J. F.

Fabre, C.

F. Boitier, A. Godard, E. Rosencher, and C. Fabre, Nat. Phys. 5, 267 (2009).
[CrossRef]

Forchel, A.

M. Assmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, Phys. Rev. B 81, 165314 (2010).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef]

Gies, C.

M. Assmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, Phys. Rev. B 81, 165314 (2010).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef]

Godard, A.

F. Boitier, A. Godard, E. Rosencher, and C. Fabre, Nat. Phys. 5, 267 (2009).
[CrossRef]

Hamilton, S. A.

Hanbury-Brown, R.

R. Hanbury-Brown and R. Q. Twiss, Nature 177, 27 (1956).
[CrossRef]

Hayat, A.

Höfling, S.

M. Assmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, Phys. Rev. B 81, 165314 (2010).
[CrossRef]

Hofmann, C.

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef]

Hvam, J. M.

Jahnke, F.

M. Assmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, Phys. Rev. B 81, 165314 (2010).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef]

Kasprzak, J.

J. Kasprzak, M. Richard, A. Baas, B. Deveaud, R. André, J.-P. Poizat, and L. S. Dang, Phys. Rev. Lett. 100, 067402 (2008).
[CrossRef]

Kerman, A. J.

Li, G.

G. Li, T. C. Zhang, Y. Li, and J. M. Wang, Phys. Rev. A 71, 023807 (2005).
[CrossRef]

Li, Y.

G. Li, T. C. Zhang, Y. Li, and J. M. Wang, Phys. Rev. A 71, 023807 (2005).
[CrossRef]

Löffler, A.

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef]

Martienssen, W.

W. Martienssen and E. Spiller, Am. J. Phys. 32, 919 (1964).
[CrossRef]

Michler, P.

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef]

Milburn, G.

D. Walls and G. Milburn, Quantum Optics (Springer, 2008).

Mirin, R. P.

Molnar, R. J.

Nam, S. W.

Nevet, A.

Orenstein, M.

Poizat, J.-P.

J. Kasprzak, M. Richard, A. Baas, B. Deveaud, R. André, J.-P. Poizat, and L. S. Dang, Phys. Rev. Lett. 100, 067402 (2008).
[CrossRef]

Reitzenstein, S.

M. Assmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, Phys. Rev. B 81, 165314 (2010).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef]

Richard, M.

J. Kasprzak, M. Richard, A. Baas, B. Deveaud, R. André, J.-P. Poizat, and L. S. Dang, Phys. Rev. Lett. 100, 067402 (2008).
[CrossRef]

Rosencher, E.

F. Boitier, A. Godard, E. Rosencher, and C. Fabre, Nat. Phys. 5, 267 (2009).
[CrossRef]

Sharpe, A. W.

Shields, A. J.

Spiller, E.

W. Martienssen and E. Spiller, Am. J. Phys. 32, 919 (1964).
[CrossRef]

Stevens, M. J.

Stolz, H.

Tempel, J.-S.

Thomas, O.

Twiss, R. Q.

R. Hanbury-Brown and R. Q. Twiss, Nature 177, 27 (1956).
[CrossRef]

Ulrich, S. M.

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef]

van der Poel, M.

Veit, F.

M. Assmann, F. Veit, J.-S. Tempel, T. Berstermann, H. Stolz, M. van der Poel, J. M. Hvam, and M. Bayer, Opt. Express 18, 20229 (2010).
[CrossRef]

M. Assmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, Phys. Rev. B 81, 165314 (2010).
[CrossRef]

M. Assmann, F. Veit, M. Bayer, M. van der Poel, and J. M. Hvam, Science 325, 297 (2009).
[CrossRef]

Walls, D.

D. Walls and G. Milburn, Quantum Optics (Springer, 2008).

Wang, J. M.

G. Li, T. C. Zhang, Y. Li, and J. M. Wang, Phys. Rev. A 71, 023807 (2005).
[CrossRef]

Wiersig, J.

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef]

Worschech, L.

M. Assmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, Phys. Rev. B 81, 165314 (2010).
[CrossRef]

Yuan, Z. L.

Zhang, T. C.

G. Li, T. C. Zhang, Y. Li, and J. M. Wang, Phys. Rev. A 71, 023807 (2005).
[CrossRef]

Am. J. Phys. (1)

W. Martienssen and E. Spiller, Am. J. Phys. 32, 919 (1964).
[CrossRef]

Nat. Phys. (1)

F. Boitier, A. Godard, E. Rosencher, and C. Fabre, Nat. Phys. 5, 267 (2009).
[CrossRef]

Nature (1)

R. Hanbury-Brown and R. Q. Twiss, Nature 177, 27 (1956).
[CrossRef]

Opt. Express (3)

Opt. Lett. (2)

Phys. Rev. A (2)

G. Li, T. C. Zhang, Y. Li, and J. M. Wang, Phys. Rev. A 71, 023807 (2005).
[CrossRef]

M. Assmann and M. Bayer, Phys. Rev. A 84, 053806 (2011).
[CrossRef]

Phys. Rev. B (1)

M. Assmann, F. Veit, M. Bayer, C. Gies, F. Jahnke, S. Reitzenstein, S. Höfling, L. Worschech, and A. Forchel, Phys. Rev. B 81, 165314 (2010).
[CrossRef]

Phys. Rev. Lett. (2)

J. Kasprzak, M. Richard, A. Baas, B. Deveaud, R. André, J.-P. Poizat, and L. S. Dang, Phys. Rev. Lett. 100, 067402 (2008).
[CrossRef]

S. M. Ulrich, C. Gies, S. Ates, J. Wiersig, S. Reitzenstein, C. Hofmann, A. Löffler, A. Forchel, F. Jahnke, and P. Michler, Phys. Rev. Lett. 98, 043906 (2007).
[CrossRef]

Science (1)

M. Assmann, F. Veit, M. Bayer, M. van der Poel, and J. M. Hvam, Science 325, 297 (2009).
[CrossRef]

Other (1)

D. Walls and G. Milburn, Quantum Optics (Springer, 2008).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1.
Fig. 1.

Predicted resolution-limited g˜(2)(0) for second-order correlation functions of light fields with Gaussian statistics having a Gaussian (solid black curve) or Lorentzian (red dashed curve) spectrum as a function of the ratio τcΔtIRF.

Fig. 2.
Fig. 2.

Correlation times τc of the light fields scattered by a diffusing ground glass disk for various rotation frequencies of the ground glass disk.

Fig. 3.
Fig. 3.

Measured g˜(2)(0) st ground glass disk rotation frequencies of 1.89 Hz (open black triangles) and 4.82 Hz (open red circles). The solid black and dashed red curves represent fits of Eq. (6) to these datasets, which yield best fits for τc values of 84.4 μs and 37.7 μs, respectively.

Equations (8)

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

g(2)(τ)=1+|g(1)(τ)|2.
g˜(2)(τ)=dτg(2)(ττ)fIRF(τ),
g˜(2)(τ)=12πσ2dτg(2)(ττ)exp(τ2σ2).
gL(2)(τ)=1+exp(ττc)
gG(2)(τ)=1+exp(τ2τc2)
g˜G(2)(0)=1+11+2σ2τc2
g˜L(2)(0)=1+exp(σ22τc2)(1erf(σ2τc))
g˜(2)(0)=1Ni=1Nni2n2.

Metrics