Abstract

Modulation instability (MI) in passively mode-locked dissipative solitons lasers has been studied. The factors that affect MI, including the intensity of the nonlinear wave and the linear phase delay of the cavity, have been experimentally studied. It's found that MI induces sidebands in the spectrum of dissipative solitons. The sidebands can cause the pedestal on the pulse in time domain and thus limit the pulse duration. Additionally, a simple method to eliminate the sidebands is proposed and nearly pedestal free pulses are generated correspondingly. Finally, based on MI, a method to measure the cavity net dispersion is proposed and applied to two dissipative soliton lasers with different net dispersion. It's shown that the positions of the adjacent spectral sidebands can determine the intracavity net dispersion, and the measurement error is limited by the accuracy of the optical spectrum analyzer. This indicates it is a simple and precise method to measure the intracavity net dispersion.

© 2012 IEEE

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  1. E. Yoshida, M. Nakazawa, "Low-threshold 115-GHz continuous-wave modulational-instability Erbium-doped fiber laser," Opt. Lett. 22, 1409-1411 (1997).
  2. T. Pfeiffer, G. Veith, "40 GHz pulse generation using a widely tunable all-polarisation preserving Erbium fibre ring laser," Electron. Lett. 29, 1849-1850 (1993).
  3. M. Nakazawa, E. Yoshida, H. Kubota, Y. Kimura, "Generation of a 170 fs, 10 GHz transform-limited pulse train at 1.55 μm using a dispersion-decreasing, Erbium-doped active soliton compressor," Electron. Lett. 30, 2038-2040 (1994).
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  5. M. Nakazawa, K. Suzuki, H. Kubota, H. A. Haus, "High-order solitons and the modulational instability," Phy. Rev. A 39, 5768 (1989).
  6. M. Nakazawa, K. Suzuki, H. Kubota, H. A. Haus, "The modulation instability laser. II. Theory," IEEE J. Select. Top. Quantum Electron. 25, 2045-2052 (1989).
  7. M. Nakazawa, H. Kubota, K. Suzuki, E. Yamada, A. Sahara, "Ultrahigh-speed long-distance TDM and WDM soliton transmission technologies," IEEE J. Sel. Top. Quantum Electron. 6, 363-396 (2000).
  8. G. P. Agrawal, "Modulation instability induced by cross-phase modulation," Phys. Rev. Lett. 59, 880-883 (1987).
  9. A. L. Berkhoer, V. E. Zakharov, "Self excitation of waves with different polarizations in nonlinear media," Sov. Phys. JETP 31, 486-490 (1970).
  10. M. Haelterman, S. Trillo, S. Wabnitz, "Additive-modulation-instability ring laser in the normal dispersion regime of a fiber," Opt. Lett. 17, 745-747 (1992).
  11. S. Coen, M. Haelterman, "Modulational instability induced by cavity boundary conditions in a normally dispersive optical fiber," Phys. Rev. Lett. 79, 4139-4142 (1997).
  12. J. Peng, L. Zhan, Z. Gu, K. Qian, X. Hu, S. Luo, Q. Shen, "Direct generation of 4.6-nJ 78.9-fs dissipative solitons in an all-fiber net-normal-dispersion er-doped laser," IEEE Photon. Technol. Lett. 24, 98-100 (2012).
  13. X. M. Liu, D. Mao, "Compact all-fiber high-energy fiber laser with sub-300-fs duration," Opt. Exp. 18, 8847-8852 (2010).
  14. A. Cabasse, B. Ortac, G. Martel, A. Hideur, J. Limpert, "Dissipative solitons in a passively mode-locked Er-doped fiber with strong normal dispersion," Opt. Exp. 16, 19322-19329 (2008).
  15. W. Chang, A. Ankiewicz, J. M. Soto-Crespo, N. Akhmediev, "Dissipative soliton resonances in laser models with parameter management," J. Opt. Soc. Amer. B 25, 1972-1977 (2008).
  16. D. Tang, L. Zhao, X. Wu, H. Zhang, "Soliton modulation instability in fiber lasers," Phy. Rev. A 80, (2009) Art. ID 023806.
  17. A. Chong, W. H. Renninger, F. W. Wise, "All-normal-dispersion femtosecond fiber laser with pulse energy above 20 nJ," Opt. Lett. 32, 2408-2410 (2007).
  18. N. B. Chichkov, K. Hausmann, D. Wandt, U. Morgner, J. Neumann, D. Kracht, "High-power dissipative solitons from an all-normal dispersion Erbium fiber oscillator," Opt. Lett. 35, 2807-2809 (2010).
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  20. L. M. Zhao, D. Y. Tang, X. A. Wu, H. Zhang, "Dissipative soliton generation in Yb-fiber laser with an invisible intracavity bandpass filter," Opt. Lett. 35, 2756-2758 (2010).
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  22. L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, E. P. Ippen, "Ultrashort-pulse fiber ring lasers," Appl. Phys. B 65, 277-294 (1997).
  23. K. Tamura, E. Ippen, H. Haus, "Pulse dynamics in stretched-pulse fiber lasers," Appl. Phys. Lett. 67, 158-160 (1995).
  24. K. Tamura, E. P. Ippen, H. A. Haus, L. E. Nelson, "77-fs pulse generation from a stretched-pulse mode-locked all-fiber ring laser," Opt. Lett. 18, 1080-1082 (1993).
  25. D. Deng, L. Zhan, Z. Gu, Y. Gu, Y. Xia, "55-fs pulse generation without wave-breaking from an all-fiber Erbium-doped ring laser," Opt. Exp. 17, 4284-4288 (2009).
  26. D. Tang, L. Zhao, "Generation of 47-fs pulses directly from an Erbium-doped fiber laser," Opt. Lett. 32, 41-43 (2007).
  27. J. Peng, L. Zhan, Z. Gu, K. Qian, S. Luo, Q. Shen, "Direct generation of 128-fs Gaussian pulses from a compensation-free fiber laser using dual mode-locking mechanisms," Opt. Commun. 285, 731-733 (2012).
  28. K. Takada, T. Kitagawa, K. Hattori, M. Yamada, M. Horiguchi, R. Hickernell, "Direct dispersion measurement of highly-Erbium-doped optical amplifiers using a low coherence reflectometer coupled with dispersive fourier spectroscopy," Electron. Lett. 28, 1889-1891 (1992).
  29. W. Knox, "In situ measurement of complete intracavity dispersion in an operating Ti: Sapphire femtosecond laser," Opt. Lett. 17, 514-516 (1992).
  30. F. Fontana, G. Bordogna, G. Grasso, M. Romagnoli, M. Midrio, P. Franco, "Evaluation and measurement of the resonant group-velocity dispersion in Erbium-doped fiber lasers," Opt. Lett. 18, 2011-2013 (1993).
  31. M. Dennis, I. Duling, III"Intracavity dispersion measurement in modelocked fibre laser," Electron. Lett. 29, 409-411 (1993).
  32. W. Renninger, A. Chong, F. Wise, "Dissipative solitons in normal-dispersion fiber lasers," Phy. Rev. A 77, (2008) Art. ID 023814.
  33. L. Zhao, D. Tang, T. Cheng, C. Lu, "Gain-guided solitons in dispersion-managed fiber lasers with large net cavity dispersion," Opt. Lett. 31, 2957-2959 (2006).
  34. K. Tamura, H. A. Haus, E. P. Ippen, "Self-starting additive pulse mode-locked Erbium fiber ring laser," Electron. Lett. 28, 2226-2228 (1992).
  35. X. Liu, "Hysteresis phenomena and multipulse formation of a dissipative system in a passively mode-locked fiber laser," Phy. Rev. A 81, (2010) Art. ID 023811.
  36. A. Chong, W. H. Renninger, F. W. Wise, "Properties of normal-dispersion femtosecond fiber lasers," J. Opt. Soc. Amer. B 25, 140-148 (2008).
  37. F. Ö. Ilday, F. Wise, T. Sosnowski, "High-energy femtosecond stretched-pulse fiber laser with a nonlinear optical loop mirror," Opt. Lett. 27, 1531-1533 (2002).
  38. S. Coen, M. Haelterman, P. Emplit, L. Delage, L. Simohamed, F. Reynaud, "Experimental investigation of the dynamics of a stabilized nonlinear fiber ring resonator," J. Opt. Soc. Amer. B 15, 2283-2293 (1998).
  39. D. Tang, J. Wu, L. Zhao, L. Qian, "Dynamic sideband generation in soliton fiber lasers," Opt. Commun. 275, 213-216 (2007).
  40. W. S. Man, H. Y. Tan, M. S. Demokan, P. K. A. Wai, D. Y. Tang, "Mechanism of intrinsic wavelength tuning and sideband asymmetry in a passively mode-locked soliton fiber ring laser," J. Opt. Soc. Amer. B 17, 28-33 (2000).
  41. K. Tamura, E. Ippen, H. Haus, "Optimization of filtering in soliton fiber lasers," IEEE Photon. Technol. Lett. 6, 1433-1435 (1994).
  42. R. Ulrich, S. Rashleigh, W. Eickhoff, "Bending-induced birefringence in single-mode fibers," Opt. Lett. 5, 273-275 (1980).
  43. X. Liu, "Numerical and experimental investigation of dissipative solitons in passively mode-locked fiber lasers with large net-normal- dispersion and high nonlinearity," Opt. Exp. 17, 22401-22416 (2009).
  44. K. Tamura, L. E. Nelson, H. A. Haus, E. P. Ippen, "Soliton versus nonsoliton operation of fiber ring lasers," Appl. Phys. Lett. 64, 149-151 (1994).
  45. S. Kelly, "Characteristic sideband instability of periodically amplified average soliton," Electron. Lett. 28, 806-807 (1992).
  46. M. L. Dennis, I. N. Duling, III"Experimental study of sideband generation in femtosecond fiber lasers," IEEE J. Quantum Electron. 30, 1469-1477 (1994).

2012

J. Peng, L. Zhan, Z. Gu, K. Qian, X. Hu, S. Luo, Q. Shen, "Direct generation of 4.6-nJ 78.9-fs dissipative solitons in an all-fiber net-normal-dispersion er-doped laser," IEEE Photon. Technol. Lett. 24, 98-100 (2012).

J. Peng, L. Zhan, Z. Gu, K. Qian, S. Luo, Q. Shen, "Direct generation of 128-fs Gaussian pulses from a compensation-free fiber laser using dual mode-locking mechanisms," Opt. Commun. 285, 731-733 (2012).

2011

C. Ouyang, P. Shum, K. Wu, J. H. Wong, X. Wu, H. Lam, S. Aditya, "12 nJ dissipative soliton from an all-fiber passively mode-locked laser with large normal dispersion," IEEE Photon. J. 3, 881-887 (2011).

2010

N. B. Chichkov, K. Hausmann, D. Wandt, U. Morgner, J. Neumann, D. Kracht, "High-power dissipative solitons from an all-normal dispersion Erbium fiber oscillator," Opt. Lett. 35, 2807-2809 (2010).

X. Liu, "Hysteresis phenomena and multipulse formation of a dissipative system in a passively mode-locked fiber laser," Phy. Rev. A 81, (2010) Art. ID 023811.

X. M. Liu, D. Mao, "Compact all-fiber high-energy fiber laser with sub-300-fs duration," Opt. Exp. 18, 8847-8852 (2010).

L. M. Zhao, D. Y. Tang, X. A. Wu, H. Zhang, "Dissipative soliton generation in Yb-fiber laser with an invisible intracavity bandpass filter," Opt. Lett. 35, 2756-2758 (2010).

2009

X. Liu, "Numerical and experimental investigation of dissipative solitons in passively mode-locked fiber lasers with large net-normal- dispersion and high nonlinearity," Opt. Exp. 17, 22401-22416 (2009).

D. Tang, L. Zhao, X. Wu, H. Zhang, "Soliton modulation instability in fiber lasers," Phy. Rev. A 80, (2009) Art. ID 023806.

D. Deng, L. Zhan, Z. Gu, Y. Gu, Y. Xia, "55-fs pulse generation without wave-breaking from an all-fiber Erbium-doped ring laser," Opt. Exp. 17, 4284-4288 (2009).

2008

A. Chong, W. H. Renninger, F. W. Wise, "Properties of normal-dispersion femtosecond fiber lasers," J. Opt. Soc. Amer. B 25, 140-148 (2008).

A. Cabasse, B. Ortac, G. Martel, A. Hideur, J. Limpert, "Dissipative solitons in a passively mode-locked Er-doped fiber with strong normal dispersion," Opt. Exp. 16, 19322-19329 (2008).

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, N. Akhmediev, "Dissipative soliton resonances in laser models with parameter management," J. Opt. Soc. Amer. B 25, 1972-1977 (2008).

W. Renninger, A. Chong, F. Wise, "Dissipative solitons in normal-dispersion fiber lasers," Phy. Rev. A 77, (2008) Art. ID 023814.

2007

D. Tang, L. Zhao, "Generation of 47-fs pulses directly from an Erbium-doped fiber laser," Opt. Lett. 32, 41-43 (2007).

A. Chong, W. H. Renninger, F. W. Wise, "All-normal-dispersion femtosecond fiber laser with pulse energy above 20 nJ," Opt. Lett. 32, 2408-2410 (2007).

D. Tang, J. Wu, L. Zhao, L. Qian, "Dynamic sideband generation in soliton fiber lasers," Opt. Commun. 275, 213-216 (2007).

2006

2002

F. Ö. Ilday, F. Wise, T. Sosnowski, "High-energy femtosecond stretched-pulse fiber laser with a nonlinear optical loop mirror," Opt. Lett. 27, 1531-1533 (2002).

2000

W. S. Man, H. Y. Tan, M. S. Demokan, P. K. A. Wai, D. Y. Tang, "Mechanism of intrinsic wavelength tuning and sideband asymmetry in a passively mode-locked soliton fiber ring laser," J. Opt. Soc. Amer. B 17, 28-33 (2000).

M. Nakazawa, H. Kubota, K. Suzuki, E. Yamada, A. Sahara, "Ultrahigh-speed long-distance TDM and WDM soliton transmission technologies," IEEE J. Sel. Top. Quantum Electron. 6, 363-396 (2000).

1998

S. Coen, M. Haelterman, P. Emplit, L. Delage, L. Simohamed, F. Reynaud, "Experimental investigation of the dynamics of a stabilized nonlinear fiber ring resonator," J. Opt. Soc. Amer. B 15, 2283-2293 (1998).

1997

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, E. P. Ippen, "Ultrashort-pulse fiber ring lasers," Appl. Phys. B 65, 277-294 (1997).

E. Yoshida, M. Nakazawa, "Low-threshold 115-GHz continuous-wave modulational-instability Erbium-doped fiber laser," Opt. Lett. 22, 1409-1411 (1997).

S. Coen, M. Haelterman, "Modulational instability induced by cavity boundary conditions in a normally dispersive optical fiber," Phys. Rev. Lett. 79, 4139-4142 (1997).

1995

K. Tamura, E. Ippen, H. Haus, "Pulse dynamics in stretched-pulse fiber lasers," Appl. Phys. Lett. 67, 158-160 (1995).

1994

K. Tamura, C. R. Doerr, H. A. Haus, E. P. Ippen, "Soliton fiber ring laser stabilization and tuning with a broad intracavity filter," IEEE Photon. Technol. Lett. 6, 697-699 (1994).

K. Tamura, E. Ippen, H. Haus, "Optimization of filtering in soliton fiber lasers," IEEE Photon. Technol. Lett. 6, 1433-1435 (1994).

M. Nakazawa, E. Yoshida, H. Kubota, Y. Kimura, "Generation of a 170 fs, 10 GHz transform-limited pulse train at 1.55 μm using a dispersion-decreasing, Erbium-doped active soliton compressor," Electron. Lett. 30, 2038-2040 (1994).

K. Tamura, L. E. Nelson, H. A. Haus, E. P. Ippen, "Soliton versus nonsoliton operation of fiber ring lasers," Appl. Phys. Lett. 64, 149-151 (1994).

M. L. Dennis, I. N. Duling, III"Experimental study of sideband generation in femtosecond fiber lasers," IEEE J. Quantum Electron. 30, 1469-1477 (1994).

1993

M. Dennis, I. Duling, III"Intracavity dispersion measurement in modelocked fibre laser," Electron. Lett. 29, 409-411 (1993).

F. Fontana, G. Bordogna, G. Grasso, M. Romagnoli, M. Midrio, P. Franco, "Evaluation and measurement of the resonant group-velocity dispersion in Erbium-doped fiber lasers," Opt. Lett. 18, 2011-2013 (1993).

T. Pfeiffer, G. Veith, "40 GHz pulse generation using a widely tunable all-polarisation preserving Erbium fibre ring laser," Electron. Lett. 29, 1849-1850 (1993).

K. Tamura, E. P. Ippen, H. A. Haus, L. E. Nelson, "77-fs pulse generation from a stretched-pulse mode-locked all-fiber ring laser," Opt. Lett. 18, 1080-1082 (1993).

1992

K. Tamura, H. A. Haus, E. P. Ippen, "Self-starting additive pulse mode-locked Erbium fiber ring laser," Electron. Lett. 28, 2226-2228 (1992).

K. Takada, T. Kitagawa, K. Hattori, M. Yamada, M. Horiguchi, R. Hickernell, "Direct dispersion measurement of highly-Erbium-doped optical amplifiers using a low coherence reflectometer coupled with dispersive fourier spectroscopy," Electron. Lett. 28, 1889-1891 (1992).

M. Haelterman, S. Trillo, S. Wabnitz, "Additive-modulation-instability ring laser in the normal dispersion regime of a fiber," Opt. Lett. 17, 745-747 (1992).

S. Kelly, "Characteristic sideband instability of periodically amplified average soliton," Electron. Lett. 28, 806-807 (1992).

W. Knox, "In situ measurement of complete intracavity dispersion in an operating Ti: Sapphire femtosecond laser," Opt. Lett. 17, 514-516 (1992).

1989

M. Nakazawa, K. Suzuki, H. A. Haus, "The modulational instability laser. I. Experiment," IEEE J. Quantum Electron. 25, 2036-2044 (1989).

M. Nakazawa, K. Suzuki, H. Kubota, H. A. Haus, "High-order solitons and the modulational instability," Phy. Rev. A 39, 5768 (1989).

M. Nakazawa, K. Suzuki, H. Kubota, H. A. Haus, "The modulation instability laser. II. Theory," IEEE J. Select. Top. Quantum Electron. 25, 2045-2052 (1989).

1987

G. P. Agrawal, "Modulation instability induced by cross-phase modulation," Phys. Rev. Lett. 59, 880-883 (1987).

1980

1970

A. L. Berkhoer, V. E. Zakharov, "Self excitation of waves with different polarizations in nonlinear media," Sov. Phys. JETP 31, 486-490 (1970).

Appl. Phys. B

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, E. P. Ippen, "Ultrashort-pulse fiber ring lasers," Appl. Phys. B 65, 277-294 (1997).

Appl. Phys. Lett.

K. Tamura, E. Ippen, H. Haus, "Pulse dynamics in stretched-pulse fiber lasers," Appl. Phys. Lett. 67, 158-160 (1995).

K. Tamura, L. E. Nelson, H. A. Haus, E. P. Ippen, "Soliton versus nonsoliton operation of fiber ring lasers," Appl. Phys. Lett. 64, 149-151 (1994).

Electron. Lett.

S. Kelly, "Characteristic sideband instability of periodically amplified average soliton," Electron. Lett. 28, 806-807 (1992).

K. Takada, T. Kitagawa, K. Hattori, M. Yamada, M. Horiguchi, R. Hickernell, "Direct dispersion measurement of highly-Erbium-doped optical amplifiers using a low coherence reflectometer coupled with dispersive fourier spectroscopy," Electron. Lett. 28, 1889-1891 (1992).

M. Dennis, I. Duling, III"Intracavity dispersion measurement in modelocked fibre laser," Electron. Lett. 29, 409-411 (1993).

K. Tamura, H. A. Haus, E. P. Ippen, "Self-starting additive pulse mode-locked Erbium fiber ring laser," Electron. Lett. 28, 2226-2228 (1992).

T. Pfeiffer, G. Veith, "40 GHz pulse generation using a widely tunable all-polarisation preserving Erbium fibre ring laser," Electron. Lett. 29, 1849-1850 (1993).

Electron. Lett.

M. Nakazawa, E. Yoshida, H. Kubota, Y. Kimura, "Generation of a 170 fs, 10 GHz transform-limited pulse train at 1.55 μm using a dispersion-decreasing, Erbium-doped active soliton compressor," Electron. Lett. 30, 2038-2040 (1994).

IEEE J. Sel. Top. Quantum Electron.

M. Nakazawa, H. Kubota, K. Suzuki, E. Yamada, A. Sahara, "Ultrahigh-speed long-distance TDM and WDM soliton transmission technologies," IEEE J. Sel. Top. Quantum Electron. 6, 363-396 (2000).

IEEE Photon. Technol. Lett.

K. Tamura, C. R. Doerr, H. A. Haus, E. P. Ippen, "Soliton fiber ring laser stabilization and tuning with a broad intracavity filter," IEEE Photon. Technol. Lett. 6, 697-699 (1994).

IEEE J. Quantum Electron.

M. Nakazawa, K. Suzuki, H. A. Haus, "The modulational instability laser. I. Experiment," IEEE J. Quantum Electron. 25, 2036-2044 (1989).

M. L. Dennis, I. N. Duling, III"Experimental study of sideband generation in femtosecond fiber lasers," IEEE J. Quantum Electron. 30, 1469-1477 (1994).

IEEE J. Select. Top. Quantum Electron.

M. Nakazawa, K. Suzuki, H. Kubota, H. A. Haus, "The modulation instability laser. II. Theory," IEEE J. Select. Top. Quantum Electron. 25, 2045-2052 (1989).

IEEE Photon. J.

C. Ouyang, P. Shum, K. Wu, J. H. Wong, X. Wu, H. Lam, S. Aditya, "12 nJ dissipative soliton from an all-fiber passively mode-locked laser with large normal dispersion," IEEE Photon. J. 3, 881-887 (2011).

IEEE Photon. Technol. Lett.

K. Tamura, E. Ippen, H. Haus, "Optimization of filtering in soliton fiber lasers," IEEE Photon. Technol. Lett. 6, 1433-1435 (1994).

J. Peng, L. Zhan, Z. Gu, K. Qian, X. Hu, S. Luo, Q. Shen, "Direct generation of 4.6-nJ 78.9-fs dissipative solitons in an all-fiber net-normal-dispersion er-doped laser," IEEE Photon. Technol. Lett. 24, 98-100 (2012).

J. Opt. Soc. Amer. B

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, N. Akhmediev, "Dissipative soliton resonances in laser models with parameter management," J. Opt. Soc. Amer. B 25, 1972-1977 (2008).

J. Opt. Soc. Amer. B

A. Chong, W. H. Renninger, F. W. Wise, "Properties of normal-dispersion femtosecond fiber lasers," J. Opt. Soc. Amer. B 25, 140-148 (2008).

J. Opt. Soc. Amer. B

S. Coen, M. Haelterman, P. Emplit, L. Delage, L. Simohamed, F. Reynaud, "Experimental investigation of the dynamics of a stabilized nonlinear fiber ring resonator," J. Opt. Soc. Amer. B 15, 2283-2293 (1998).

W. S. Man, H. Y. Tan, M. S. Demokan, P. K. A. Wai, D. Y. Tang, "Mechanism of intrinsic wavelength tuning and sideband asymmetry in a passively mode-locked soliton fiber ring laser," J. Opt. Soc. Amer. B 17, 28-33 (2000).

Opt. Exp.

A. Cabasse, B. Ortac, G. Martel, A. Hideur, J. Limpert, "Dissipative solitons in a passively mode-locked Er-doped fiber with strong normal dispersion," Opt. Exp. 16, 19322-19329 (2008).

Opt. Lett.

L. M. Zhao, D. Y. Tang, X. A. Wu, H. Zhang, "Dissipative soliton generation in Yb-fiber laser with an invisible intracavity bandpass filter," Opt. Lett. 35, 2756-2758 (2010).

K. Tamura, E. P. Ippen, H. A. Haus, L. E. Nelson, "77-fs pulse generation from a stretched-pulse mode-locked all-fiber ring laser," Opt. Lett. 18, 1080-1082 (1993).

F. Ö. Ilday, F. Wise, T. Sosnowski, "High-energy femtosecond stretched-pulse fiber laser with a nonlinear optical loop mirror," Opt. Lett. 27, 1531-1533 (2002).

A. Chong, W. H. Renninger, F. W. Wise, "All-normal-dispersion femtosecond fiber laser with pulse energy above 20 nJ," Opt. Lett. 32, 2408-2410 (2007).

N. B. Chichkov, K. Hausmann, D. Wandt, U. Morgner, J. Neumann, D. Kracht, "High-power dissipative solitons from an all-normal dispersion Erbium fiber oscillator," Opt. Lett. 35, 2807-2809 (2010).

M. Haelterman, S. Trillo, S. Wabnitz, "Additive-modulation-instability ring laser in the normal dispersion regime of a fiber," Opt. Lett. 17, 745-747 (1992).

E. Yoshida, M. Nakazawa, "Low-threshold 115-GHz continuous-wave modulational-instability Erbium-doped fiber laser," Opt. Lett. 22, 1409-1411 (1997).

Opt. Commun.

D. Tang, J. Wu, L. Zhao, L. Qian, "Dynamic sideband generation in soliton fiber lasers," Opt. Commun. 275, 213-216 (2007).

J. Peng, L. Zhan, Z. Gu, K. Qian, S. Luo, Q. Shen, "Direct generation of 128-fs Gaussian pulses from a compensation-free fiber laser using dual mode-locking mechanisms," Opt. Commun. 285, 731-733 (2012).

Opt. Exp.

D. Deng, L. Zhan, Z. Gu, Y. Gu, Y. Xia, "55-fs pulse generation without wave-breaking from an all-fiber Erbium-doped ring laser," Opt. Exp. 17, 4284-4288 (2009).

X. M. Liu, D. Mao, "Compact all-fiber high-energy fiber laser with sub-300-fs duration," Opt. Exp. 18, 8847-8852 (2010).

X. Liu, "Numerical and experimental investigation of dissipative solitons in passively mode-locked fiber lasers with large net-normal- dispersion and high nonlinearity," Opt. Exp. 17, 22401-22416 (2009).

Opt. Lett.

Phy. Rev. A

W. Renninger, A. Chong, F. Wise, "Dissipative solitons in normal-dispersion fiber lasers," Phy. Rev. A 77, (2008) Art. ID 023814.

D. Tang, L. Zhao, X. Wu, H. Zhang, "Soliton modulation instability in fiber lasers," Phy. Rev. A 80, (2009) Art. ID 023806.

M. Nakazawa, K. Suzuki, H. Kubota, H. A. Haus, "High-order solitons and the modulational instability," Phy. Rev. A 39, 5768 (1989).

X. Liu, "Hysteresis phenomena and multipulse formation of a dissipative system in a passively mode-locked fiber laser," Phy. Rev. A 81, (2010) Art. ID 023811.

Phys. Rev. Lett.

G. P. Agrawal, "Modulation instability induced by cross-phase modulation," Phys. Rev. Lett. 59, 880-883 (1987).

S. Coen, M. Haelterman, "Modulational instability induced by cavity boundary conditions in a normally dispersive optical fiber," Phys. Rev. Lett. 79, 4139-4142 (1997).

Sov. Phys. JETP

A. L. Berkhoer, V. E. Zakharov, "Self excitation of waves with different polarizations in nonlinear media," Sov. Phys. JETP 31, 486-490 (1970).

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