Abstract

The second-order correlation function of incoherent light, which is usually measured in the time domain, can be alternatively measured in the frequency domain. Here, we use an all-optical technique in a highly nonlinear fiber for measuring the full spectrum of the fluctuations of the photocurrent (rf spectrum) generated by broadband radiation with different spectral coherence properties. Our experiments reveal that the rf spectrum of a light signal depends strongly on its spectral coherence properties. From a practical perspective, this ultrafast technique constitutes an alternative for measuring the intensity correlations of spectrally incoherent radiation.

© 2010 Optical Society of America

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References

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  1. L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1996).
  2. A. Kuzmich, W. P. Bowen, A. D. Boozer, A. Boca, C. W. Chou, L.-M. Duan, and H. J. Kimble, Nature 423, 731 (2003).
    [CrossRef] [PubMed]
  3. M. C. Teich, R. L. Abrams, and W. B. Ganrund, Opt. Commun. 2, 206 (1970).
    [CrossRef]
  4. M. L. Goldberger, H. W. Lewis, and K. M. Watson, Phys. Rev. 142, 25 (1966).
    [CrossRef]
  5. R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
    [CrossRef] [PubMed]
  6. F. Boitier, A. Godard, E. Rosencher, and C. Fabre, Nature Phys. 5, 267 (2009).
    [CrossRef]
  7. C. Freed and H. A. Haus, Phys. Rev. 141, 287 (1966).
    [CrossRef]
  8. C. R. Fernández-Pousa, J. Opt. Soc. Am. A 26, 993 (2009).
    [CrossRef]
  9. C. Dorrer and D. N. Maywar, Electron. Lett. 39, 1004 (2003).
    [CrossRef]
  10. M. D. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. P. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
    [CrossRef]
  11. L. J. Wang, B. E. Magill, and L. Mandel, J. Opt. Soc. Am. B 6, 964 (1989).
    [CrossRef]
  12. N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, and K. Edamatsu, Nature Photon. 3, 95 (2009).
    [CrossRef]

2009

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

C. R. Fernández-Pousa, J. Opt. Soc. Am. A 26, 993 (2009).
[CrossRef]

M. D. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. P. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, and K. Edamatsu, Nature Photon. 3, 95 (2009).
[CrossRef]

2003

C. Dorrer and D. N. Maywar, Electron. Lett. 39, 1004 (2003).
[CrossRef]

A. Kuzmich, W. P. Bowen, A. D. Boozer, A. Boca, C. W. Chou, L.-M. Duan, and H. J. Kimble, Nature 423, 731 (2003).
[CrossRef] [PubMed]

2002

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef] [PubMed]

1989

1970

M. C. Teich, R. L. Abrams, and W. B. Ganrund, Opt. Commun. 2, 206 (1970).
[CrossRef]

1966

M. L. Goldberger, H. W. Lewis, and K. M. Watson, Phys. Rev. 142, 25 (1966).
[CrossRef]

C. Freed and H. A. Haus, Phys. Rev. 141, 287 (1966).
[CrossRef]

Abrams, R. L.

M. C. Teich, R. L. Abrams, and W. B. Ganrund, Opt. Commun. 2, 206 (1970).
[CrossRef]

Bennink, R. S.

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef] [PubMed]

Bentley, S. J.

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef] [PubMed]

Boca, A.

A. Kuzmich, W. P. Bowen, A. D. Boozer, A. Boca, C. W. Chou, L.-M. Duan, and H. J. Kimble, Nature 423, 731 (2003).
[CrossRef] [PubMed]

Boitier, F.

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

Boozer, A. D.

A. Kuzmich, W. P. Bowen, A. D. Boozer, A. Boca, C. W. Chou, L.-M. Duan, and H. J. Kimble, Nature 423, 731 (2003).
[CrossRef] [PubMed]

Bowen, W. P.

A. Kuzmich, W. P. Bowen, A. D. Boozer, A. Boca, C. W. Chou, L.-M. Duan, and H. J. Kimble, Nature 423, 731 (2003).
[CrossRef] [PubMed]

Boyd, R. W.

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef] [PubMed]

Bulla, D. A. P.

M. D. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. P. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Choi, D.-Y.

M. D. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. P. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Chou, C. W.

A. Kuzmich, W. P. Bowen, A. D. Boozer, A. Boca, C. W. Chou, L.-M. Duan, and H. J. Kimble, Nature 423, 731 (2003).
[CrossRef] [PubMed]

Dorrer, C.

C. Dorrer and D. N. Maywar, Electron. Lett. 39, 1004 (2003).
[CrossRef]

Duan, L.-M.

A. Kuzmich, W. P. Bowen, A. D. Boozer, A. Boca, C. W. Chou, L.-M. Duan, and H. J. Kimble, Nature 423, 731 (2003).
[CrossRef] [PubMed]

Edamatsu, K.

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, and K. Edamatsu, Nature Photon. 3, 95 (2009).
[CrossRef]

Eggleton, B. J.

M. D. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. P. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Fabre, C.

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

Fernández-Pousa, C. R.

Freed, C.

C. Freed and H. A. Haus, Phys. Rev. 141, 287 (1966).
[CrossRef]

Ganrund, W. B.

M. C. Teich, R. L. Abrams, and W. B. Ganrund, Opt. Commun. 2, 206 (1970).
[CrossRef]

Godard, A.

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

Goldberger, M. L.

M. L. Goldberger, H. W. Lewis, and K. M. Watson, Phys. Rev. 142, 25 (1966).
[CrossRef]

Haus, H. A.

C. Freed and H. A. Haus, Phys. Rev. 141, 287 (1966).
[CrossRef]

Kimble, H. J.

A. Kuzmich, W. P. Bowen, A. D. Boozer, A. Boca, C. W. Chou, L.-M. Duan, and H. J. Kimble, Nature 423, 731 (2003).
[CrossRef] [PubMed]

Kosaka, H.

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, and K. Edamatsu, Nature Photon. 3, 95 (2009).
[CrossRef]

Kuzmich, A.

A. Kuzmich, W. P. Bowen, A. D. Boozer, A. Boca, C. W. Chou, L.-M. Duan, and H. J. Kimble, Nature 423, 731 (2003).
[CrossRef] [PubMed]

Lamont, M. R. E.

M. D. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. P. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Lewis, H. W.

M. L. Goldberger, H. W. Lewis, and K. M. Watson, Phys. Rev. 142, 25 (1966).
[CrossRef]

Luan, F.

M. D. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. P. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Luther-Davies, B.

M. D. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. P. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Madden, S. J.

M. D. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. P. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Magill, B. E.

Mandel, L.

L. J. Wang, B. E. Magill, and L. Mandel, J. Opt. Soc. Am. B 6, 964 (1989).
[CrossRef]

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1996).

Matsuda, N.

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, and K. Edamatsu, Nature Photon. 3, 95 (2009).
[CrossRef]

Maywar, D. N.

C. Dorrer and D. N. Maywar, Electron. Lett. 39, 1004 (2003).
[CrossRef]

Mitsumori, Y.

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, and K. Edamatsu, Nature Photon. 3, 95 (2009).
[CrossRef]

Pelusi, M. D.

M. D. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. P. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Rosencher, E.

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

Shimizu, R.

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, and K. Edamatsu, Nature Photon. 3, 95 (2009).
[CrossRef]

Teich, M. C.

M. C. Teich, R. L. Abrams, and W. B. Ganrund, Opt. Commun. 2, 206 (1970).
[CrossRef]

Vo, T. D.

M. D. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. P. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Wang, L. J.

Watson, K. M.

M. L. Goldberger, H. W. Lewis, and K. M. Watson, Phys. Rev. 142, 25 (1966).
[CrossRef]

Wolf, E.

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1996).

Electron. Lett.

C. Dorrer and D. N. Maywar, Electron. Lett. 39, 1004 (2003).
[CrossRef]

J. Opt. Soc. Am. A

J. Opt. Soc. Am. B

Nature

A. Kuzmich, W. P. Bowen, A. D. Boozer, A. Boca, C. W. Chou, L.-M. Duan, and H. J. Kimble, Nature 423, 731 (2003).
[CrossRef] [PubMed]

Nature Photon.

N. Matsuda, R. Shimizu, Y. Mitsumori, H. Kosaka, and K. Edamatsu, Nature Photon. 3, 95 (2009).
[CrossRef]

M. D. Pelusi, F. Luan, T. D. Vo, M. R. E. Lamont, S. J. Madden, D. A. P. Bulla, D.-Y. Choi, B. Luther-Davies, and B. J. Eggleton, Nature Photon. 3, 139 (2009).
[CrossRef]

Nature Phys.

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

Opt. Commun.

M. C. Teich, R. L. Abrams, and W. B. Ganrund, Opt. Commun. 2, 206 (1970).
[CrossRef]

Phys. Rev.

M. L. Goldberger, H. W. Lewis, and K. M. Watson, Phys. Rev. 142, 25 (1966).
[CrossRef]

C. Freed and H. A. Haus, Phys. Rev. 141, 287 (1966).
[CrossRef]

Phys. Rev. Lett.

R. S. Bennink, S. J. Bentley, and R. W. Boyd, Phys. Rev. Lett. 89, 113601 (2002).
[CrossRef] [PubMed]

Other

L. Mandel and E. Wolf, Optical Coherence and Quantum Optics (Cambridge U. Press, 1996).

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Figures (4)

Fig. 1
Fig. 1

Scheme of the optical rf analyzer.

Fig. 2
Fig. 2

(a) Measured optical spectrum of the incoherent light source in linear scale. (b) Measured (spiral curve) and calculated (solid curve) intensity autocorrelation.

Fig. 3
Fig. 3

Radio frequency spectrum measured with the optical technique (solid curve). Expected rf spectra from Fig. 2a (dashed curve) and Fig. 2b (circles). Dashed-dotted curve is the spectrum with the signal off.

Fig. 4
Fig. 4

(a) Incoherent case: respective photocurrent spectra corresponding to the optical signal spectra (inset, linear scale) before (red dashed curve) and after (blue curve) propagation in a dispersive medium. (b) Coherent case: the same except for an optical frequency comb used as spectrally coherent light source. Dashed-dotted curve is the spectrum when the signal is off.

Equations (3)

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

G ( 2 ) ( τ ) = I ( t ) I ( t + τ ) = R ( f ) exp ( i 2 π f τ ) d f ,
R ( f ) = T lim 1 T | I ˜ T ( f ) | 2 = T lim 1 T | E T ( f ) E T * ( f ) | 2 .
R ( f ) Γ 2 ( 0 ) δ ( 2 π f ) + S ( ω ) S ( ω + 2 π f ) d ω .

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