Abstract

We present an investigation of the statistics of the gain fluctuations of a fiber optical parametric amplifier pumped with a temporally incoherent pump. We derive a simple expression for the probability distribution of the gain of the amplified optical signal. The gain statistics are shown to be a strong function of the signal detuning and allow the possibility of generating optical gain distributions with controllable long-tails. Very good agreement is found between this theory and the experimentally measured gain distributions of an incoherently pumped amplifier.

© 2010 Optical Society of America

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References

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  1. D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature 450, 1054 (2007).
    [Crossref] [PubMed]
  2. C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, Electron. Lett. 45, 217 (2009).
    [Crossref]
  3. K. Hammani, C. Finot, J. M. Dudley, and G. Millot, Opt. Express 16, 16467 (2008).
    [Crossref] [PubMed]
  4. K. Hammani, C. Finot, and G. Millot, Opt. Lett. 34, 1138 (2009).
    [Crossref] [PubMed]
  5. J. M. Dudley, G. Genty, and B. J. Eggleton, Opt. Express 16, 3644 (2008).
    [Crossref] [PubMed]
  6. Y. Q. Xu and S. G. Murdoch, Opt. Lett. 35, 169 (2010).
    [Crossref] [PubMed]
  7. J. W. Goodman, Statistical Optics (Wiley, 1985).
  8. A. Mussot, A. Durecu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, IEEE Photon. Technol. Lett. 16, 1289 (2004).
    [Crossref]
  9. A. S. Y. Hsieh, G. K. L. Wong, S. G. Murdoch, S. Coen, F. Vanholsbeeck, R. Leonhardt, and J. D. Harvey, Opt. Express 15, 8104 (2007).
    [Crossref] [PubMed]
  10. R. H. Stolen, J. P. Gordon, W. J. Tomlinson, and H. A. Haus, J. Opt. Soc. Am. B 6, 1159 (1989).
    [Crossref]

2010 (1)

2009 (2)

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, Electron. Lett. 45, 217 (2009).
[Crossref]

K. Hammani, C. Finot, and G. Millot, Opt. Lett. 34, 1138 (2009).
[Crossref] [PubMed]

2008 (2)

2007 (2)

2004 (1)

A. Mussot, A. Durecu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, IEEE Photon. Technol. Lett. 16, 1289 (2004).
[Crossref]

1989 (1)

Bayart, D.

A. Mussot, A. Durecu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, IEEE Photon. Technol. Lett. 16, 1289 (2004).
[Crossref]

Bolger, J.

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, Electron. Lett. 45, 217 (2009).
[Crossref]

Coen, S.

Dias, F.

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, Electron. Lett. 45, 217 (2009).
[Crossref]

Dudley, J. M.

Durecu-Legrand, A.

A. Mussot, A. Durecu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, IEEE Photon. Technol. Lett. 16, 1289 (2004).
[Crossref]

Eggleton, B. J.

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, Electron. Lett. 45, 217 (2009).
[Crossref]

J. M. Dudley, G. Genty, and B. J. Eggleton, Opt. Express 16, 3644 (2008).
[Crossref] [PubMed]

Finot, C.

Genty, G.

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, Electron. Lett. 45, 217 (2009).
[Crossref]

J. M. Dudley, G. Genty, and B. J. Eggleton, Opt. Express 16, 3644 (2008).
[Crossref] [PubMed]

Goodman, J. W.

J. W. Goodman, Statistical Optics (Wiley, 1985).

Gordon, J. P.

Hammani, K.

Harvey, J. D.

Haus, H. A.

Hsieh, A. S. Y.

Jalali, B.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature 450, 1054 (2007).
[Crossref] [PubMed]

Koonath, P.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature 450, 1054 (2007).
[Crossref] [PubMed]

Lafargue, C.

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, Electron. Lett. 45, 217 (2009).
[Crossref]

Lantz, E.

A. Mussot, A. Durecu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, IEEE Photon. Technol. Lett. 16, 1289 (2004).
[Crossref]

Leonhardt, R.

Maillotte, H.

A. Mussot, A. Durecu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, IEEE Photon. Technol. Lett. 16, 1289 (2004).
[Crossref]

Millot, G.

Murdoch, S. G.

Mussot, A.

A. Mussot, A. Durecu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, IEEE Photon. Technol. Lett. 16, 1289 (2004).
[Crossref]

Ropers, C.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature 450, 1054 (2007).
[Crossref] [PubMed]

Simonneau, C.

A. Mussot, A. Durecu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, IEEE Photon. Technol. Lett. 16, 1289 (2004).
[Crossref]

Solli, D. R.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature 450, 1054 (2007).
[Crossref] [PubMed]

Stolen, R. H.

Sylvestre, T.

A. Mussot, A. Durecu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, IEEE Photon. Technol. Lett. 16, 1289 (2004).
[Crossref]

Tomlinson, W. J.

Vanholsbeeck, F.

Wong, G. K. L.

Xu, Y. Q.

Electron. Lett. (1)

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, Electron. Lett. 45, 217 (2009).
[Crossref]

IEEE Photon. Technol. Lett. (1)

A. Mussot, A. Durecu-Legrand, E. Lantz, C. Simonneau, D. Bayart, H. Maillotte, and T. Sylvestre, IEEE Photon. Technol. Lett. 16, 1289 (2004).
[Crossref]

J. Opt. Soc. Am. B (1)

Nature (1)

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, Nature 450, 1054 (2007).
[Crossref] [PubMed]

Opt. Express (3)

Opt. Lett. (2)

Other (1)

J. W. Goodman, Statistical Optics (Wiley, 1985).

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Figures (3)

Fig. 1
Fig. 1

Predicted probability distributions of the signal gain at detunings of 1 (dotted-dashed curve), 2 (dashed curve), 4 (dotted curve), and 6 (solid curve) THz for an average pump power of P = 4   W . The inset is the mean parametric gain of the incoherent amplifier as a function of detuning.

Fig. 2
Fig. 2

Schematic diagram of the experimental setup.

Fig. 3
Fig. 3

Measured gain statistics at signal detunings of 1, 2, 4, and 6 THz (solid circles). The solid curves are the predicted distributions given by Eq. (2). The average pump power of the amplifier is P = 4   W ; the input coherent seed power is 100 μ W .

Tables (1)

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Table 1 Probability of a Gain Fluctuation in Excess of 30 and 40 dB as a Function of Detuning

Equations (2)

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p ( P ) = 1 P e P / P ,
p G ( g ) = i p ( P i ) | | d G d P | P i | 1 ,

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