Abstract

For the first time the influence of noise amplification on decay of modulated continuous-wave pumping into a pulse series in an optical fiber is considered. Dependence of noise-to-signal ratio in pulse train at fibre exit on initial modulation depth obtained both analytically and by means of numerical simulations. The minimum modulation frequency is estimated which leads to a regular pulse train formation from CW pumping.

© 2008 Optical Society of America

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References

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  1. A. Hasegawa, "Generation of a train of soliton pulses by induced modulational instability in optical fibers," Opt. Lett. 9, 288-290 (1984).
    [CrossRef] [PubMed]
  2. K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, "Generation of subpicosecond solitonlike optical pulses at 0.3 THz repetition rate by induced modulational instability," Appl. Phys. Lett. 49, 236-238 (1986).
    [CrossRef]
  3. E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, and S. V. Chernikov, "Generation of a train of fundamental solitons at a high repetition rate in optical fibers," Opt. Lett. 14, 1008-1010 (1989).
    [CrossRef] [PubMed]
  4. S. V. Chernikov, E. M. Dianov, D. J. Richardson, R. I. Laming, and D. N. Payne, "114 Gbit/s soliton train generation through Raman self-scattering of a dual frequency beat signal in dispersion decreasing optical fiber," Appl. Phys. Lett. 63, 293-295 (1993).
    [CrossRef]
  5. S. V. Chernikov, J. R. Taylor, and R. Kashyap, "Comblike dispersion-profiled fiber for soliton pulse train generation," Opt. Lett. 19, 539-541 (1994).
    [CrossRef] [PubMed]
  6. M. Tadakuma, O. Aso, and S. Namiki, "A 104GHz 328fs soliton pulse train generation through a comb-like dispersion profiled fiber using short high nonlinearity dispersion shifted fibers," presented at OFC 2000.
  7. S. Pitois, J. Fatome, and G. Millot, "Generation of a 160-GHz transform-limited pedestal-free pulse train through multiwave mixing compression of a dual-frequency beat signal," Opt. Lett. 27, 1729-1731 (2002).
    [CrossRef]
  8. J. Fatome, S. Pitois, and G. Millot, "20-GHz-to-1-THz repetition rate pulse sources based on multiple four-wave mixing in optical fiber," IEEE J. Quantum Electron. 42, 1038-1046 (2006).
    [CrossRef]
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    [CrossRef]
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  11. 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] [PubMed]
  12. S. M. Kobtsev and S. V. Smirnov, "Modelling of high-power supercontinuum generation in highly nonlinear, dispersion shifted fibers at CW pump," Opt. Express 13, 6912-6918 (2005).
    [CrossRef] [PubMed]
  13. N. Korneev, E. A. Kuzin, B. Ibarra-Escamilla, M. Bello-Jimènez, and A. Flores-Rosas, "Initial development of supercontinuum in fibers with anomalous dispersion pumped by nanosecond - long pulses," Opt. Express 16, 2636-2645 (2008).
    [CrossRef] [PubMed]
  14. S. Martin-Lopez, A. Carrasco-Sanz, P. Corredera, L. Abrardi, M. L. Hernanz, and M. Gonzalez-Herraez, "Experimental investigation of the effect of pump incoherence on nonlinear pump spectral broadening and continuous-wave supercontinuum generation," Opt. Lett. 31, 3477-3479 (2006).
    [CrossRef] [PubMed]
  15. J. H. Lee, Y. -G. Han, and S. Lee, "Experimental study on seed light source coherence dependence of continuous-wave supercontinuum performance," Opt. Express 14, 3443-3452 (2006).
    [CrossRef] [PubMed]
  16. D. R. Solli, C. Ropers, P. Koonath and B. Jalali, "Optical rogue waves," Nature 450, 1054-1058 (2007).
    [CrossRef] [PubMed]
  17. 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] [PubMed]
  18. G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, California, 2001).

2008

N. Korneev, E. A. Kuzin, B. Ibarra-Escamilla, M. Bello-Jimènez, and A. Flores-Rosas, "Initial development of supercontinuum in fibers with anomalous dispersion pumped by nanosecond - long pulses," Opt. Express 16, 2636-2645 (2008).
[CrossRef] [PubMed]

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] [PubMed]

2007

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

2006

2005

2002

1994

1993

S. V. Chernikov, E. M. Dianov, D. J. Richardson, R. I. Laming, and D. N. Payne, "114 Gbit/s soliton train generation through Raman self-scattering of a dual frequency beat signal in dispersion decreasing optical fiber," Appl. Phys. Lett. 63, 293-295 (1993).
[CrossRef]

1989

1986

K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, "Generation of subpicosecond solitonlike optical pulses at 0.3 THz repetition rate by induced modulational instability," Appl. Phys. Lett. 49, 236-238 (1986).
[CrossRef]

1984

Abrardi, L.

Bello-Jimènez, M.

N. Korneev, E. A. Kuzin, B. Ibarra-Escamilla, M. Bello-Jimènez, and A. Flores-Rosas, "Initial development of supercontinuum in fibers with anomalous dispersion pumped by nanosecond - long pulses," Opt. Express 16, 2636-2645 (2008).
[CrossRef] [PubMed]

Carrasco-Sanz, A.

Chernikov, S. V.

Coen, S.

Corredera, P.

Dianov, E. M.

S. V. Chernikov, E. M. Dianov, D. J. Richardson, R. I. Laming, and D. N. Payne, "114 Gbit/s soliton train generation through Raman self-scattering of a dual frequency beat signal in dispersion decreasing optical fiber," Appl. Phys. Lett. 63, 293-295 (1993).
[CrossRef]

E. M. Dianov, P. V. Mamyshev, A. M. Prokhorov, and S. V. Chernikov, "Generation of a train of fundamental solitons at a high repetition rate in optical fibers," Opt. Lett. 14, 1008-1010 (1989).
[CrossRef] [PubMed]

Dudley, J. M.

Eggleton, B. J.

Fatome, J.

J. Fatome, S. Pitois, and G. Millot, "20-GHz-to-1-THz repetition rate pulse sources based on multiple four-wave mixing in optical fiber," IEEE J. Quantum Electron. 42, 1038-1046 (2006).
[CrossRef]

S. Pitois, J. Fatome, and G. Millot, "Generation of a 160-GHz transform-limited pedestal-free pulse train through multiwave mixing compression of a dual-frequency beat signal," Opt. Lett. 27, 1729-1731 (2002).
[CrossRef]

Flores-Rosas, A.

N. Korneev, E. A. Kuzin, B. Ibarra-Escamilla, M. Bello-Jimènez, and A. Flores-Rosas, "Initial development of supercontinuum in fibers with anomalous dispersion pumped by nanosecond - long pulses," Opt. Express 16, 2636-2645 (2008).
[CrossRef] [PubMed]

Genty, G.

Gonzalez-Herraez, M.

González-Herráez, M.

Han, Y. -G.

Hasegawa, A.

K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, "Generation of subpicosecond solitonlike optical pulses at 0.3 THz repetition rate by induced modulational instability," Appl. Phys. Lett. 49, 236-238 (1986).
[CrossRef]

A. Hasegawa, "Generation of a train of soliton pulses by induced modulational instability in optical fibers," Opt. Lett. 9, 288-290 (1984).
[CrossRef] [PubMed]

Hernanz, M. L.

Ibarra-Escamilla, B.

N. Korneev, E. A. Kuzin, B. Ibarra-Escamilla, M. Bello-Jimènez, and A. Flores-Rosas, "Initial development of supercontinuum in fibers with anomalous dispersion pumped by nanosecond - long pulses," Opt. Express 16, 2636-2645 (2008).
[CrossRef] [PubMed]

Jalali, B.

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

Jewell, J. L.

K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, "Generation of subpicosecond solitonlike optical pulses at 0.3 THz repetition rate by induced modulational instability," Appl. Phys. Lett. 49, 236-238 (1986).
[CrossRef]

Kashyap, R.

Kobtsev, S. M.

Koonath, P.

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

Korneev, N.

N. Korneev, E. A. Kuzin, B. Ibarra-Escamilla, M. Bello-Jimènez, and A. Flores-Rosas, "Initial development of supercontinuum in fibers with anomalous dispersion pumped by nanosecond - long pulses," Opt. Express 16, 2636-2645 (2008).
[CrossRef] [PubMed]

Kuzin, E. A.

N. Korneev, E. A. Kuzin, B. Ibarra-Escamilla, M. Bello-Jimènez, and A. Flores-Rosas, "Initial development of supercontinuum in fibers with anomalous dispersion pumped by nanosecond - long pulses," Opt. Express 16, 2636-2645 (2008).
[CrossRef] [PubMed]

Laming, R. I.

S. V. Chernikov, E. M. Dianov, D. J. Richardson, R. I. Laming, and D. N. Payne, "114 Gbit/s soliton train generation through Raman self-scattering of a dual frequency beat signal in dispersion decreasing optical fiber," Appl. Phys. Lett. 63, 293-295 (1993).
[CrossRef]

Lee, J. H.

Lee, S.

Mamyshev, P. V.

Martin-Lopez, S.

Millot, G.

J. Fatome, S. Pitois, and G. Millot, "20-GHz-to-1-THz repetition rate pulse sources based on multiple four-wave mixing in optical fiber," IEEE J. Quantum Electron. 42, 1038-1046 (2006).
[CrossRef]

S. Pitois, J. Fatome, and G. Millot, "Generation of a 160-GHz transform-limited pedestal-free pulse train through multiwave mixing compression of a dual-frequency beat signal," Opt. Lett. 27, 1729-1731 (2002).
[CrossRef]

Payne, D. N.

S. V. Chernikov, E. M. Dianov, D. J. Richardson, R. I. Laming, and D. N. Payne, "114 Gbit/s soliton train generation through Raman self-scattering of a dual frequency beat signal in dispersion decreasing optical fiber," Appl. Phys. Lett. 63, 293-295 (1993).
[CrossRef]

Pitois, S.

J. Fatome, S. Pitois, and G. Millot, "20-GHz-to-1-THz repetition rate pulse sources based on multiple four-wave mixing in optical fiber," IEEE J. Quantum Electron. 42, 1038-1046 (2006).
[CrossRef]

S. Pitois, J. Fatome, and G. Millot, "Generation of a 160-GHz transform-limited pedestal-free pulse train through multiwave mixing compression of a dual-frequency beat signal," Opt. Lett. 27, 1729-1731 (2002).
[CrossRef]

Prokhorov, A. M.

Richardson, D. J.

S. V. Chernikov, E. M. Dianov, D. J. Richardson, R. I. Laming, and D. N. Payne, "114 Gbit/s soliton train generation through Raman self-scattering of a dual frequency beat signal in dispersion decreasing optical fiber," Appl. Phys. Lett. 63, 293-295 (1993).
[CrossRef]

Ropers, C.

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

Smirnov, S. V.

Solli, D. R.

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

Tai, K.

K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, "Generation of subpicosecond solitonlike optical pulses at 0.3 THz repetition rate by induced modulational instability," Appl. Phys. Lett. 49, 236-238 (1986).
[CrossRef]

Taylor, J. R.

Tomita, A.

K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, "Generation of subpicosecond solitonlike optical pulses at 0.3 THz repetition rate by induced modulational instability," Appl. Phys. Lett. 49, 236-238 (1986).
[CrossRef]

Vanholsbeeck, F.

Appl. Phys. Lett.

K. Tai, A. Tomita, J. L. Jewell, and A. Hasegawa, "Generation of subpicosecond solitonlike optical pulses at 0.3 THz repetition rate by induced modulational instability," Appl. Phys. Lett. 49, 236-238 (1986).
[CrossRef]

S. V. Chernikov, E. M. Dianov, D. J. Richardson, R. I. Laming, and D. N. Payne, "114 Gbit/s soliton train generation through Raman self-scattering of a dual frequency beat signal in dispersion decreasing optical fiber," Appl. Phys. Lett. 63, 293-295 (1993).
[CrossRef]

IEEE J. Quantum Electron.

J. Fatome, S. Pitois, and G. Millot, "20-GHz-to-1-THz repetition rate pulse sources based on multiple four-wave mixing in optical fiber," IEEE J. Quantum Electron. 42, 1038-1046 (2006).
[CrossRef]

Nature

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

Opt. Express

Opt. Lett.

Opt. Express

N. Korneev, E. A. Kuzin, B. Ibarra-Escamilla, M. Bello-Jimènez, and A. Flores-Rosas, "Initial development of supercontinuum in fibers with anomalous dispersion pumped by nanosecond - long pulses," Opt. Express 16, 2636-2645 (2008).
[CrossRef] [PubMed]

Other

M. Tadakuma, O. Aso, and S. Namiki, "A 104GHz 328fs soliton pulse train generation through a comb-like dispersion profiled fiber using short high nonlinearity dispersion shifted fibers," presented at OFC 2000.

G. P. Agrawal, Nonlinear Fiber Optics (Academic Press, San Diego, California, 2001).

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Figures (4)

Fig. 1.
Fig. 1.

Dependence of optimal fibre length zmax on modulation depth Is/I0 at ξ=1.46 (corresponds to the experiments [2])

Fig. 2.
Fig. 2.

Dependence of optimal fibre length zmax on ξ.

Fig. 3.
Fig. 3.

Generated pulse train and its spectrum at ξ=0.1 for different initial modulation depths Is /I 0.

Fig. 4.
Fig. 4.

Dependence of noise-to-signal ratio at fibre exit on parameter ξ and modulation depth.

Equations (4)

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

ξ = β 2 Ω 2 2 · L NL
I s e 2 z * L NL 2 ξ ξ 2 > η · I noise e 2 z * L NL
z * = L NL 2 2 ξ ξ 2 · ln I 0 I s
1 ξ < 1 ( ln ( I s I 0 ) ln ( η I noise I 0 ) ) 2

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