Abstract

We show that the infrared edge of supercontinua generated in solid core photonic bandgap fibers is characterized by a very different temporal behavior than the one obtained in standard fibers. In particular, pulse-to-pulse spectral power fluctuations are significantly reduced near the bandgap edge, and the statistical distribution is quasi-gaussian. The spectral dynamics of this process and statistical properties are investigated experimentally and confirmed by numerical simulations. The reduction of power fluctuations originates from the cancellation of the soliton self-frequency shift near the bandgap edge.

© 2010 Optical Society of America

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  1. J. M. Dudley, and S. Coen, "Coherence properties of supercontinuum spectra generated in photonic crystal and tapered optical fibers," Opt. Lett. 27, 1180-1182 (2002).
    [CrossRef]
  2. J. M. Dudley, G. Genty, and S. Coen, "Supercontinuum generation in photonic crystal fiber," Rev. Mod. Phys. 78, 1135-1184 (2006).
    [CrossRef]
  3. D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, "Optical rogue waves," Nature 450, 1054-1058 (2007).
    [CrossRef]
  4. J. M. Dudley, G. Genty, and B. J. Eggleton, "Harnessing and control of optical rogue waves in supercontinuum generation," Opt. Express 16, 3644-3651 (2008).
    [CrossRef]
  5. A. Mussot, A. Kudlinski, M. Kolobov, E. Louvergneaux, M. Douay, and M. Taki, "Observation of extreme temporal events in CW-pumped supercontinuum," Opt. Express 17, 17010-17015 (2009).
    [CrossRef]
  6. G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, "Collisions and turbulence in optical rogue wave formation," Phys. Lett. A 374, 989-996 (2010).
    [CrossRef]
  7. F. Vanholsbeeck, S. Martin-Lopez, M. González-Herráez, and S. Coen, "The role of pump incoherence in continuous-wave supercontinuum generation," Opt. Express 13, 6615-6625 (2005).
    [CrossRef]
  8. G. Genty, and J. M. Dudley, "Route to coherent supercontinuum generation in the long pulse regime," IEEE J. Quantum Electron. 45, 1331-1335 (2009).
  9. G. Genty, J. M. Dudley, and B. J. Eggleton, "Modulation control and spectral shaping of optical fiber supercontinuum generation in the picosecond regime," Appl. Phys. B 94, 187-194 (2009).
    [CrossRef]
  10. D. R. Solli, C. Ropers, and B. Jalali, "Active control of rogue waves for stimulated supercontinuum generation," Phys. Rev. Lett. 101, 233902 (2008).
  11. A. Bétourné, A. Kudlinski, G. Bouwmans, O. Vanvincq, A. Mussot, and Y. Quiquempois, "Control of supercontinuum generation and soliton self-frequency shift in solid core photonic bandgap fibers," Opt. Lett. 34, 3083-3085 (2009).
    [CrossRef]
  12. B. Kibler, T. Martynkien, M. Szpulak, C. Finot, J. Fatome, J. Wojcik, W. Urbanczyk, and S. Wabnitz, "Nonlinear femtosecond pulse propagation in an all-solid photonic bandgap fiber," Opt. Express 17, 10393-10398 (2009).
    [CrossRef]
  13. A. Bétourné, G. Bouwmans, Y. Quiquempois, M. Perrin, and M. Douay, "Improvements of solid-core photonic bandgap fibers by means of interstitial air holes," Opt. Lett. 32, 1719-1721 (2007).
    [CrossRef]
  14. V. Pureur, A. Bétourné, G. Bouwmans, L. Bigot, A. Kudlinski, K. Delplace, A. Le Rouge, Y. Quiquempois, and M. Douay, "Overview on solid core photonic bandgap fibers," Fiber and Integrated Optics 28, 27-50 (2009).
    [CrossRef]
  15. O. Vanvincq, A. Kudlinski, A. Bétourné, Y. Quiquempois, and G. Bouwmans, "Extreme deceleration of the soliton self-frequency shift by the third-order dispersion in solid-core photonic bandgap fibers," J. Opt. Soc. Am. B 27, 2328-2335 (2010).
    [CrossRef]
  16. C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, "Direct detection of optical rogue wave energy statistics in supercontinuum generation," Electron. Lett. 45, 217-219 (2009).
    [CrossRef]
  17. H. Kubota, K. R. Tamura, and M. Nakazawa, "Analyses of coherence-maintained ultrashort optical pulse trains and supercontinuum generation in the presence of soliton-amplified spontaneous-emission interaction," J. Opt. Soc. Am. B 16, 2223-2232 (1999).
    [CrossRef]
  18. J. Laegsgaard, "Mode profile dispersion in the generalized nonlinear Schrödinger equation," Opt. Express 15, 16110-16123 (2007).
    [CrossRef]
  19. M. Erkintalo, G. Genty, and J. M. Dudley, "On the statistical interpretation of optical rogue waves," Eur. Phys. J. Spec. Top. 185, 135-144 (2010).
    [CrossRef]
  20. K. Hammani, B. Kibler, C. Finot, and A. Picozzi, "Emergence of rogue waves from optical turbulence," Phys. Lett. A 374, 3585-3589 (2010).
    [CrossRef]
  21. M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, "Third-order dispersion for generating optical rogue solitons," Phys. Lett. A 374, 691-695 (2010).
    [CrossRef]

2010 (5)

M. Erkintalo, G. Genty, and J. M. Dudley, "On the statistical interpretation of optical rogue waves," Eur. Phys. J. Spec. Top. 185, 135-144 (2010).
[CrossRef]

K. Hammani, B. Kibler, C. Finot, and A. Picozzi, "Emergence of rogue waves from optical turbulence," Phys. Lett. A 374, 3585-3589 (2010).
[CrossRef]

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, "Third-order dispersion for generating optical rogue solitons," Phys. Lett. A 374, 691-695 (2010).
[CrossRef]

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, "Collisions and turbulence in optical rogue wave formation," Phys. Lett. A 374, 989-996 (2010).
[CrossRef]

O. Vanvincq, A. Kudlinski, A. Bétourné, Y. Quiquempois, and G. Bouwmans, "Extreme deceleration of the soliton self-frequency shift by the third-order dispersion in solid-core photonic bandgap fibers," J. Opt. Soc. Am. B 27, 2328-2335 (2010).
[CrossRef]

2009 (7)

V. Pureur, A. Bétourné, G. Bouwmans, L. Bigot, A. Kudlinski, K. Delplace, A. Le Rouge, Y. Quiquempois, and M. Douay, "Overview on solid core photonic bandgap fibers," Fiber and Integrated Optics 28, 27-50 (2009).
[CrossRef]

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, "Direct detection of optical rogue wave energy statistics in supercontinuum generation," Electron. Lett. 45, 217-219 (2009).
[CrossRef]

B. Kibler, T. Martynkien, M. Szpulak, C. Finot, J. Fatome, J. Wojcik, W. Urbanczyk, and S. Wabnitz, "Nonlinear femtosecond pulse propagation in an all-solid photonic bandgap fiber," Opt. Express 17, 10393-10398 (2009).
[CrossRef]

A. Mussot, A. Kudlinski, M. Kolobov, E. Louvergneaux, M. Douay, and M. Taki, "Observation of extreme temporal events in CW-pumped supercontinuum," Opt. Express 17, 17010-17015 (2009).
[CrossRef]

A. Bétourné, A. Kudlinski, G. Bouwmans, O. Vanvincq, A. Mussot, and Y. Quiquempois, "Control of supercontinuum generation and soliton self-frequency shift in solid core photonic bandgap fibers," Opt. Lett. 34, 3083-3085 (2009).
[CrossRef]

G. Genty, and J. M. Dudley, "Route to coherent supercontinuum generation in the long pulse regime," IEEE J. Quantum Electron. 45, 1331-1335 (2009).

G. Genty, J. M. Dudley, and B. J. Eggleton, "Modulation control and spectral shaping of optical fiber supercontinuum generation in the picosecond regime," Appl. Phys. B 94, 187-194 (2009).
[CrossRef]

2008 (2)

D. R. Solli, C. Ropers, and B. Jalali, "Active control of rogue waves for stimulated supercontinuum generation," Phys. Rev. Lett. 101, 233902 (2008).

J. M. Dudley, G. Genty, and B. J. Eggleton, "Harnessing and control of optical rogue waves in supercontinuum generation," Opt. Express 16, 3644-3651 (2008).
[CrossRef]

2007 (3)

2006 (1)

J. M. Dudley, G. Genty, and S. Coen, "Supercontinuum generation in photonic crystal fiber," Rev. Mod. Phys. 78, 1135-1184 (2006).
[CrossRef]

2005 (1)

2002 (1)

1999 (1)

Akhmediev, N.

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, "Collisions and turbulence in optical rogue wave formation," Phys. Lett. A 374, 989-996 (2010).
[CrossRef]

Bang, O.

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, "Collisions and turbulence in optical rogue wave formation," Phys. Lett. A 374, 989-996 (2010).
[CrossRef]

Bétourné, A.

Bigot, L.

V. Pureur, A. Bétourné, G. Bouwmans, L. Bigot, A. Kudlinski, K. Delplace, A. Le Rouge, Y. Quiquempois, and M. Douay, "Overview on solid core photonic bandgap fibers," Fiber and Integrated Optics 28, 27-50 (2009).
[CrossRef]

Bolger, J.

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, "Direct detection of optical rogue wave energy statistics in supercontinuum generation," Electron. Lett. 45, 217-219 (2009).
[CrossRef]

Bouwmans, G.

Coen, S.

de Sterke, C. M.

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, "Collisions and turbulence in optical rogue wave formation," Phys. Lett. A 374, 989-996 (2010).
[CrossRef]

Delplace, K.

V. Pureur, A. Bétourné, G. Bouwmans, L. Bigot, A. Kudlinski, K. Delplace, A. Le Rouge, Y. Quiquempois, and M. Douay, "Overview on solid core photonic bandgap fibers," Fiber and Integrated Optics 28, 27-50 (2009).
[CrossRef]

Dias, F.

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, "Collisions and turbulence in optical rogue wave formation," Phys. Lett. A 374, 989-996 (2010).
[CrossRef]

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, "Direct detection of optical rogue wave energy statistics in supercontinuum generation," Electron. Lett. 45, 217-219 (2009).
[CrossRef]

Douay, M.

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, "Third-order dispersion for generating optical rogue solitons," Phys. Lett. A 374, 691-695 (2010).
[CrossRef]

V. Pureur, A. Bétourné, G. Bouwmans, L. Bigot, A. Kudlinski, K. Delplace, A. Le Rouge, Y. Quiquempois, and M. Douay, "Overview on solid core photonic bandgap fibers," Fiber and Integrated Optics 28, 27-50 (2009).
[CrossRef]

A. Mussot, A. Kudlinski, M. Kolobov, E. Louvergneaux, M. Douay, and M. Taki, "Observation of extreme temporal events in CW-pumped supercontinuum," Opt. Express 17, 17010-17015 (2009).
[CrossRef]

A. Bétourné, G. Bouwmans, Y. Quiquempois, M. Perrin, and M. Douay, "Improvements of solid-core photonic bandgap fibers by means of interstitial air holes," Opt. Lett. 32, 1719-1721 (2007).
[CrossRef]

Dudley, J. M.

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, "Collisions and turbulence in optical rogue wave formation," Phys. Lett. A 374, 989-996 (2010).
[CrossRef]

M. Erkintalo, G. Genty, and J. M. Dudley, "On the statistical interpretation of optical rogue waves," Eur. Phys. J. Spec. Top. 185, 135-144 (2010).
[CrossRef]

G. Genty, and J. M. Dudley, "Route to coherent supercontinuum generation in the long pulse regime," IEEE J. Quantum Electron. 45, 1331-1335 (2009).

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, "Direct detection of optical rogue wave energy statistics in supercontinuum generation," Electron. Lett. 45, 217-219 (2009).
[CrossRef]

G. Genty, J. M. Dudley, and B. J. Eggleton, "Modulation control and spectral shaping of optical fiber supercontinuum generation in the picosecond regime," Appl. Phys. B 94, 187-194 (2009).
[CrossRef]

J. M. Dudley, G. Genty, and B. J. Eggleton, "Harnessing and control of optical rogue waves in supercontinuum generation," Opt. Express 16, 3644-3651 (2008).
[CrossRef]

J. M. Dudley, G. Genty, and S. Coen, "Supercontinuum generation in photonic crystal fiber," Rev. Mod. Phys. 78, 1135-1184 (2006).
[CrossRef]

J. M. Dudley, and S. Coen, "Coherence properties of supercontinuum spectra generated in photonic crystal and tapered optical fibers," Opt. Lett. 27, 1180-1182 (2002).
[CrossRef]

Eggleton, B. J.

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, "Direct detection of optical rogue wave energy statistics in supercontinuum generation," Electron. Lett. 45, 217-219 (2009).
[CrossRef]

G. Genty, J. M. Dudley, and B. J. Eggleton, "Modulation control and spectral shaping of optical fiber supercontinuum generation in the picosecond regime," Appl. Phys. B 94, 187-194 (2009).
[CrossRef]

J. M. Dudley, G. Genty, and B. J. Eggleton, "Harnessing and control of optical rogue waves in supercontinuum generation," Opt. Express 16, 3644-3651 (2008).
[CrossRef]

Erkintalo, M.

M. Erkintalo, G. Genty, and J. M. Dudley, "On the statistical interpretation of optical rogue waves," Eur. Phys. J. Spec. Top. 185, 135-144 (2010).
[CrossRef]

Fatome, J.

Finot, C.

Genty, G.

M. Erkintalo, G. Genty, and J. M. Dudley, "On the statistical interpretation of optical rogue waves," Eur. Phys. J. Spec. Top. 185, 135-144 (2010).
[CrossRef]

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, "Collisions and turbulence in optical rogue wave formation," Phys. Lett. A 374, 989-996 (2010).
[CrossRef]

G. Genty, J. M. Dudley, and B. J. Eggleton, "Modulation control and spectral shaping of optical fiber supercontinuum generation in the picosecond regime," Appl. Phys. B 94, 187-194 (2009).
[CrossRef]

G. Genty, and J. M. Dudley, "Route to coherent supercontinuum generation in the long pulse regime," IEEE J. Quantum Electron. 45, 1331-1335 (2009).

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, "Direct detection of optical rogue wave energy statistics in supercontinuum generation," Electron. Lett. 45, 217-219 (2009).
[CrossRef]

J. M. Dudley, G. Genty, and B. J. Eggleton, "Harnessing and control of optical rogue waves in supercontinuum generation," Opt. Express 16, 3644-3651 (2008).
[CrossRef]

J. M. Dudley, G. Genty, and S. Coen, "Supercontinuum generation in photonic crystal fiber," Rev. Mod. Phys. 78, 1135-1184 (2006).
[CrossRef]

González-Herráez, M.

Hammani, K.

K. Hammani, B. Kibler, C. Finot, and A. Picozzi, "Emergence of rogue waves from optical turbulence," Phys. Lett. A 374, 3585-3589 (2010).
[CrossRef]

Jalali, B.

D. R. Solli, C. Ropers, and B. Jalali, "Active control of rogue waves for stimulated supercontinuum generation," Phys. Rev. Lett. 101, 233902 (2008).

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, "Optical rogue waves," Nature 450, 1054-1058 (2007).
[CrossRef]

Kibler, B.

Kolobov, M.

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, "Third-order dispersion for generating optical rogue solitons," Phys. Lett. A 374, 691-695 (2010).
[CrossRef]

A. Mussot, A. Kudlinski, M. Kolobov, E. Louvergneaux, M. Douay, and M. Taki, "Observation of extreme temporal events in CW-pumped supercontinuum," Opt. Express 17, 17010-17015 (2009).
[CrossRef]

Koonath, P.

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, "Optical rogue waves," Nature 450, 1054-1058 (2007).
[CrossRef]

Kubota, H.

Kudlinski, A.

Laegsgaard, J.

Lafargue, C.

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, "Direct detection of optical rogue wave energy statistics in supercontinuum generation," Electron. Lett. 45, 217-219 (2009).
[CrossRef]

Le Rouge, A.

V. Pureur, A. Bétourné, G. Bouwmans, L. Bigot, A. Kudlinski, K. Delplace, A. Le Rouge, Y. Quiquempois, and M. Douay, "Overview on solid core photonic bandgap fibers," Fiber and Integrated Optics 28, 27-50 (2009).
[CrossRef]

Louvergneaux, E.

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, "Third-order dispersion for generating optical rogue solitons," Phys. Lett. A 374, 691-695 (2010).
[CrossRef]

A. Mussot, A. Kudlinski, M. Kolobov, E. Louvergneaux, M. Douay, and M. Taki, "Observation of extreme temporal events in CW-pumped supercontinuum," Opt. Express 17, 17010-17015 (2009).
[CrossRef]

Martin-Lopez, S.

Martynkien, T.

Mussot, A.

Nakazawa, M.

Perrin, M.

Picozzi, A.

K. Hammani, B. Kibler, C. Finot, and A. Picozzi, "Emergence of rogue waves from optical turbulence," Phys. Lett. A 374, 3585-3589 (2010).
[CrossRef]

Pureur, V.

V. Pureur, A. Bétourné, G. Bouwmans, L. Bigot, A. Kudlinski, K. Delplace, A. Le Rouge, Y. Quiquempois, and M. Douay, "Overview on solid core photonic bandgap fibers," Fiber and Integrated Optics 28, 27-50 (2009).
[CrossRef]

Quiquempois, Y.

Ropers, C.

D. R. Solli, C. Ropers, and B. Jalali, "Active control of rogue waves for stimulated supercontinuum generation," Phys. Rev. Lett. 101, 233902 (2008).

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, "Optical rogue waves," Nature 450, 1054-1058 (2007).
[CrossRef]

Solli, D. R.

D. R. Solli, C. Ropers, and B. Jalali, "Active control of rogue waves for stimulated supercontinuum generation," Phys. Rev. Lett. 101, 233902 (2008).

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, "Optical rogue waves," Nature 450, 1054-1058 (2007).
[CrossRef]

Szpulak, M.

Taki, M.

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, "Third-order dispersion for generating optical rogue solitons," Phys. Lett. A 374, 691-695 (2010).
[CrossRef]

A. Mussot, A. Kudlinski, M. Kolobov, E. Louvergneaux, M. Douay, and M. Taki, "Observation of extreme temporal events in CW-pumped supercontinuum," Opt. Express 17, 17010-17015 (2009).
[CrossRef]

Tamura, K. R.

Urbanczyk, W.

Vanholsbeeck, F.

Vanvincq, O.

Wabnitz, S.

Wojcik, J.

Appl. Phys. B (1)

G. Genty, J. M. Dudley, and B. J. Eggleton, "Modulation control and spectral shaping of optical fiber supercontinuum generation in the picosecond regime," Appl. Phys. B 94, 187-194 (2009).
[CrossRef]

Electron. Lett. (1)

C. Lafargue, J. Bolger, G. Genty, F. Dias, J. M. Dudley, and B. J. Eggleton, "Direct detection of optical rogue wave energy statistics in supercontinuum generation," Electron. Lett. 45, 217-219 (2009).
[CrossRef]

Eur. Phys. J. Spec. Top. (1)

M. Erkintalo, G. Genty, and J. M. Dudley, "On the statistical interpretation of optical rogue waves," Eur. Phys. J. Spec. Top. 185, 135-144 (2010).
[CrossRef]

Fiber and Integrated Optics (1)

V. Pureur, A. Bétourné, G. Bouwmans, L. Bigot, A. Kudlinski, K. Delplace, A. Le Rouge, Y. Quiquempois, and M. Douay, "Overview on solid core photonic bandgap fibers," Fiber and Integrated Optics 28, 27-50 (2009).
[CrossRef]

IEEE J. Quantum Electron. (1)

G. Genty, and J. M. Dudley, "Route to coherent supercontinuum generation in the long pulse regime," IEEE J. Quantum Electron. 45, 1331-1335 (2009).

J. Opt. Soc. Am. B (2)

Nature (1)

D. R. Solli, C. Ropers, P. Koonath, and B. Jalali, "Optical rogue waves," Nature 450, 1054-1058 (2007).
[CrossRef]

Opt. Express (5)

Opt. Lett. (3)

Phys. Lett. A (3)

K. Hammani, B. Kibler, C. Finot, and A. Picozzi, "Emergence of rogue waves from optical turbulence," Phys. Lett. A 374, 3585-3589 (2010).
[CrossRef]

M. Taki, A. Mussot, A. Kudlinski, E. Louvergneaux, M. Kolobov, and M. Douay, "Third-order dispersion for generating optical rogue solitons," Phys. Lett. A 374, 691-695 (2010).
[CrossRef]

G. Genty, C. M. de Sterke, O. Bang, F. Dias, N. Akhmediev, and J. M. Dudley, "Collisions and turbulence in optical rogue wave formation," Phys. Lett. A 374, 989-996 (2010).
[CrossRef]

Phys. Rev. Lett. (1)

D. R. Solli, C. Ropers, and B. Jalali, "Active control of rogue waves for stimulated supercontinuum generation," Phys. Rev. Lett. 101, 233902 (2008).

Rev. Mod. Phys. (1)

J. M. Dudley, G. Genty, and S. Coen, "Supercontinuum generation in photonic crystal fiber," Rev. Mod. Phys. 78, 1135-1184 (2006).
[CrossRef]

Supplementary Material (1)

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