Abstract

We present an experimental study of the stability of passively mode-locked pulses against noise in multipulse operation of an erbium-doped fiber laser. The laser properties are determined by two dimensionless combinations of the laser parameters. Measurements of the pulses’ destabilization threshold as a function of those laser parameters show the optimal regions that maximize the mode-locked pulse stability. We find good agreement between the experimental observations and the theoretical predictions.

© 2010 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. V. J. Matsas, D. J. Richardson, T. P. Newson, and D. N. Payne, Opt. Lett. 18, 358 (1993).
    [CrossRef] [PubMed]
  2. D. Y. Tang, W. S. Man, and H. Y. Tam, Opt. Commun. 165, 189 (1999).
    [CrossRef]
  3. V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, IEEE J. Quantum Electron. 39, 323 (2003).
    [CrossRef]
  4. A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. A 71, 053809 (2005).
    [CrossRef]
  5. B. G. Bale, K. Kieu, J. N. Kutz, and F. Wise, Opt. Express 17, 23137 (2009).
    [CrossRef]
  6. X. Liu, Phys. Rev. A 81, 023811 (2010).
    [CrossRef]
  7. F. Li, P. K. A. Wai, and J. N. Kutz, J. Opt. Soc. Am. B 27, 2068 (2010).
    [CrossRef]
  8. A. Gordon and B. Fischer, Phys. Rev. Lett. 89, 103901(2002).
    [CrossRef] [PubMed]
  9. O. Gat, A. Gordon, and B. Fischer, Phys. Rev. E 70, 046108(2004).
    [CrossRef]
  10. O. Gat, A. Gordon, and B. Fischer, New J. Phys. 7, 151(2005).
    [CrossRef]
  11. R. Weill, A. Rosen, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 95, 013903 (2005).
    [CrossRef] [PubMed]
  12. A. Gordon, B. Vodonos, V. Smulakovski, and B. Fischer, Opt. Express 11, 3418 (2003).
    [CrossRef] [PubMed]
  13. B. Vodonos, R. Weill, A. Gordon, A. Bekker, V. Smulakovsky, O. Gat, and B. Fischer, Phys. Rev. Lett. 93, 153901 (2004).
    [CrossRef] [PubMed]
  14. R. Weill, B. Vodonos, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. E 76, 031112 (2007).
    [CrossRef]
  15. A. Rosen, R. Weill, B. Levit, V. Smulakovsky, A. Bekker, and B. Fischer, Phys. Rev. Lett. 105, 013905 (2010).
    [CrossRef] [PubMed]
  16. H. A. Haus, IEEE J. Sel. Top. Quantum Electron. 6, 1173 (2000).
    [CrossRef]
  17. C.-J. Chen, P. K. A. Wai, and C. R. Menyuk, Opt. Lett. 17, 417 (1992).
    [CrossRef] [PubMed]
  18. M. Katz, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 97, 113902 (2006).
    [CrossRef] [PubMed]

2010 (3)

A. Rosen, R. Weill, B. Levit, V. Smulakovsky, A. Bekker, and B. Fischer, Phys. Rev. Lett. 105, 013905 (2010).
[CrossRef] [PubMed]

X. Liu, Phys. Rev. A 81, 023811 (2010).
[CrossRef]

F. Li, P. K. A. Wai, and J. N. Kutz, J. Opt. Soc. Am. B 27, 2068 (2010).
[CrossRef]

2009 (1)

2007 (1)

R. Weill, B. Vodonos, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. E 76, 031112 (2007).
[CrossRef]

2006 (1)

M. Katz, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 97, 113902 (2006).
[CrossRef] [PubMed]

2005 (3)

O. Gat, A. Gordon, and B. Fischer, New J. Phys. 7, 151(2005).
[CrossRef]

R. Weill, A. Rosen, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 95, 013903 (2005).
[CrossRef] [PubMed]

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. A 71, 053809 (2005).
[CrossRef]

2004 (2)

B. Vodonos, R. Weill, A. Gordon, A. Bekker, V. Smulakovsky, O. Gat, and B. Fischer, Phys. Rev. Lett. 93, 153901 (2004).
[CrossRef] [PubMed]

O. Gat, A. Gordon, and B. Fischer, Phys. Rev. E 70, 046108(2004).
[CrossRef]

2003 (2)

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, IEEE J. Quantum Electron. 39, 323 (2003).
[CrossRef]

A. Gordon, B. Vodonos, V. Smulakovski, and B. Fischer, Opt. Express 11, 3418 (2003).
[CrossRef] [PubMed]

2002 (1)

A. Gordon and B. Fischer, Phys. Rev. Lett. 89, 103901(2002).
[CrossRef] [PubMed]

2000 (1)

H. A. Haus, IEEE J. Sel. Top. Quantum Electron. 6, 1173 (2000).
[CrossRef]

1999 (1)

D. Y. Tang, W. S. Man, and H. Y. Tam, Opt. Commun. 165, 189 (1999).
[CrossRef]

1993 (1)

1992 (1)

Bale, B. G.

Bekker, A.

A. Rosen, R. Weill, B. Levit, V. Smulakovsky, A. Bekker, and B. Fischer, Phys. Rev. Lett. 105, 013905 (2010).
[CrossRef] [PubMed]

B. Vodonos, R. Weill, A. Gordon, A. Bekker, V. Smulakovsky, O. Gat, and B. Fischer, Phys. Rev. Lett. 93, 153901 (2004).
[CrossRef] [PubMed]

Chen, C.-J.

Fischer, B.

A. Rosen, R. Weill, B. Levit, V. Smulakovsky, A. Bekker, and B. Fischer, Phys. Rev. Lett. 105, 013905 (2010).
[CrossRef] [PubMed]

R. Weill, B. Vodonos, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. E 76, 031112 (2007).
[CrossRef]

M. Katz, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 97, 113902 (2006).
[CrossRef] [PubMed]

R. Weill, A. Rosen, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 95, 013903 (2005).
[CrossRef] [PubMed]

O. Gat, A. Gordon, and B. Fischer, New J. Phys. 7, 151(2005).
[CrossRef]

B. Vodonos, R. Weill, A. Gordon, A. Bekker, V. Smulakovsky, O. Gat, and B. Fischer, Phys. Rev. Lett. 93, 153901 (2004).
[CrossRef] [PubMed]

O. Gat, A. Gordon, and B. Fischer, Phys. Rev. E 70, 046108(2004).
[CrossRef]

A. Gordon, B. Vodonos, V. Smulakovski, and B. Fischer, Opt. Express 11, 3418 (2003).
[CrossRef] [PubMed]

A. Gordon and B. Fischer, Phys. Rev. Lett. 89, 103901(2002).
[CrossRef] [PubMed]

Gat, O.

R. Weill, B. Vodonos, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. E 76, 031112 (2007).
[CrossRef]

M. Katz, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 97, 113902 (2006).
[CrossRef] [PubMed]

R. Weill, A. Rosen, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 95, 013903 (2005).
[CrossRef] [PubMed]

O. Gat, A. Gordon, and B. Fischer, New J. Phys. 7, 151(2005).
[CrossRef]

B. Vodonos, R. Weill, A. Gordon, A. Bekker, V. Smulakovsky, O. Gat, and B. Fischer, Phys. Rev. Lett. 93, 153901 (2004).
[CrossRef] [PubMed]

O. Gat, A. Gordon, and B. Fischer, Phys. Rev. E 70, 046108(2004).
[CrossRef]

Gordon, A.

R. Weill, B. Vodonos, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. E 76, 031112 (2007).
[CrossRef]

M. Katz, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 97, 113902 (2006).
[CrossRef] [PubMed]

R. Weill, A. Rosen, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 95, 013903 (2005).
[CrossRef] [PubMed]

O. Gat, A. Gordon, and B. Fischer, New J. Phys. 7, 151(2005).
[CrossRef]

B. Vodonos, R. Weill, A. Gordon, A. Bekker, V. Smulakovsky, O. Gat, and B. Fischer, Phys. Rev. Lett. 93, 153901 (2004).
[CrossRef] [PubMed]

O. Gat, A. Gordon, and B. Fischer, Phys. Rev. E 70, 046108(2004).
[CrossRef]

A. Gordon, B. Vodonos, V. Smulakovski, and B. Fischer, Opt. Express 11, 3418 (2003).
[CrossRef] [PubMed]

A. Gordon and B. Fischer, Phys. Rev. Lett. 89, 103901(2002).
[CrossRef] [PubMed]

Haus, H. A.

H. A. Haus, IEEE J. Sel. Top. Quantum Electron. 6, 1173 (2000).
[CrossRef]

Kalashnikov, V. L.

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, IEEE J. Quantum Electron. 39, 323 (2003).
[CrossRef]

Katz, M.

M. Katz, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 97, 113902 (2006).
[CrossRef] [PubMed]

Kieu, K.

Komarov, A.

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. A 71, 053809 (2005).
[CrossRef]

Kutz, J. N.

Leblond, H.

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. A 71, 053809 (2005).
[CrossRef]

Levit, B.

A. Rosen, R. Weill, B. Levit, V. Smulakovsky, A. Bekker, and B. Fischer, Phys. Rev. Lett. 105, 013905 (2010).
[CrossRef] [PubMed]

Li, F.

Liu, X.

X. Liu, Phys. Rev. A 81, 023811 (2010).
[CrossRef]

Man, W. S.

D. Y. Tang, W. S. Man, and H. Y. Tam, Opt. Commun. 165, 189 (1999).
[CrossRef]

Matsas, V. J.

Menyuk, C. R.

Newson, T. P.

Payne, D. N.

Richardson, D. J.

Rosen, A.

A. Rosen, R. Weill, B. Levit, V. Smulakovsky, A. Bekker, and B. Fischer, Phys. Rev. Lett. 105, 013905 (2010).
[CrossRef] [PubMed]

R. Weill, A. Rosen, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 95, 013903 (2005).
[CrossRef] [PubMed]

Sanchez, F.

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. A 71, 053809 (2005).
[CrossRef]

Smulakovski, V.

Smulakovsky, V.

A. Rosen, R. Weill, B. Levit, V. Smulakovsky, A. Bekker, and B. Fischer, Phys. Rev. Lett. 105, 013905 (2010).
[CrossRef] [PubMed]

B. Vodonos, R. Weill, A. Gordon, A. Bekker, V. Smulakovsky, O. Gat, and B. Fischer, Phys. Rev. Lett. 93, 153901 (2004).
[CrossRef] [PubMed]

Sorokin, E.

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, IEEE J. Quantum Electron. 39, 323 (2003).
[CrossRef]

Sorokina, I. T.

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, IEEE J. Quantum Electron. 39, 323 (2003).
[CrossRef]

Tam, H. Y.

D. Y. Tang, W. S. Man, and H. Y. Tam, Opt. Commun. 165, 189 (1999).
[CrossRef]

Tang, D. Y.

D. Y. Tang, W. S. Man, and H. Y. Tam, Opt. Commun. 165, 189 (1999).
[CrossRef]

Vodonos, B.

R. Weill, B. Vodonos, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. E 76, 031112 (2007).
[CrossRef]

B. Vodonos, R. Weill, A. Gordon, A. Bekker, V. Smulakovsky, O. Gat, and B. Fischer, Phys. Rev. Lett. 93, 153901 (2004).
[CrossRef] [PubMed]

A. Gordon, B. Vodonos, V. Smulakovski, and B. Fischer, Opt. Express 11, 3418 (2003).
[CrossRef] [PubMed]

Wai, P. K. A.

Weill, R.

A. Rosen, R. Weill, B. Levit, V. Smulakovsky, A. Bekker, and B. Fischer, Phys. Rev. Lett. 105, 013905 (2010).
[CrossRef] [PubMed]

R. Weill, B. Vodonos, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. E 76, 031112 (2007).
[CrossRef]

R. Weill, A. Rosen, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 95, 013903 (2005).
[CrossRef] [PubMed]

B. Vodonos, R. Weill, A. Gordon, A. Bekker, V. Smulakovsky, O. Gat, and B. Fischer, Phys. Rev. Lett. 93, 153901 (2004).
[CrossRef] [PubMed]

Wise, F.

IEEE J. Quantum Electron. (1)

V. L. Kalashnikov, E. Sorokin, and I. T. Sorokina, IEEE J. Quantum Electron. 39, 323 (2003).
[CrossRef]

IEEE J. Sel. Top. Quantum Electron. (1)

H. A. Haus, IEEE J. Sel. Top. Quantum Electron. 6, 1173 (2000).
[CrossRef]

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

New J. Phys. (1)

O. Gat, A. Gordon, and B. Fischer, New J. Phys. 7, 151(2005).
[CrossRef]

Opt. Commun. (1)

D. Y. Tang, W. S. Man, and H. Y. Tam, Opt. Commun. 165, 189 (1999).
[CrossRef]

Opt. Express (2)

Opt. Lett. (2)

Phys. Rev. A (2)

X. Liu, Phys. Rev. A 81, 023811 (2010).
[CrossRef]

A. Komarov, H. Leblond, and F. Sanchez, Phys. Rev. A 71, 053809 (2005).
[CrossRef]

Phys. Rev. E (2)

O. Gat, A. Gordon, and B. Fischer, Phys. Rev. E 70, 046108(2004).
[CrossRef]

R. Weill, B. Vodonos, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. E 76, 031112 (2007).
[CrossRef]

Phys. Rev. Lett. (5)

A. Rosen, R. Weill, B. Levit, V. Smulakovsky, A. Bekker, and B. Fischer, Phys. Rev. Lett. 105, 013905 (2010).
[CrossRef] [PubMed]

R. Weill, A. Rosen, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 95, 013903 (2005).
[CrossRef] [PubMed]

B. Vodonos, R. Weill, A. Gordon, A. Bekker, V. Smulakovsky, O. Gat, and B. Fischer, Phys. Rev. Lett. 93, 153901 (2004).
[CrossRef] [PubMed]

A. Gordon and B. Fischer, Phys. Rev. Lett. 89, 103901(2002).
[CrossRef] [PubMed]

M. Katz, A. Gordon, O. Gat, and B. Fischer, Phys. Rev. Lett. 97, 113902 (2006).
[CrossRef] [PubMed]

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 (2)

Fig. 1
Fig. 1

(a) Pulse annihilation cascade—rf power versus optical power P, for three injected noise power levels L T (decreasing from left to right). (b) Injected noise power density L T as a function of the power P at the pulse destabilization threshold; measured data and fit lines for three values of spectral filtering width γ g . Steeper slope corresponds to a higher pulse stability against noise. [The apparent crossing of the three lines is coincidental. The color scheme is coincidental and does not imply color correspondence between (a) and (b)].

Fig. 2
Fig. 2

Theoretically calculated curves (solid) and the experimental observations of the dimensionless slopes L T / P γ d of the pulse annihilation transition lines as a function of γ d / γ g , for three values of γ ˜ k / γ k : 1 (red, left), 2 / 3 (blue, middle), and 1 / 2 (green, right). The dashed curves are eye guides that connect the data points taken for a fixed value of γ ˜ k / γ k . The error bars show the accuracy of the linear fit on the data points shown in Fig. 1b.

Equations (3)

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

ψ ˙ = ( γ g + j γ d ) 2 ψ z 2 + [ j γ k | ψ | 2 + s ( | ψ | 2 ) + g ] ψ + Γ .
g ( y ) = 2 4 | sin ( y 2 6 2 sech 2 ( z ) ) | sech 2 ( z ) d z y 2 6 γ k γ g γ ˜ k γ d ,
( 1 n x ) = L T 2 P γ g g ( y ) ,

Metrics