Abstract

The formation and evolution of dual-wavelength solitons in passively mode-locked fiber soliton lasers are investigated both numerically and experimentally. By solving the Ginzburg–Landau equation and taking the gain profile into account, mode-locked soliton emissions at 1532 and 1555 nm are achieved simultaneously. Numerical results show that the two solitons exhibit the same intensity and duration, indicating that the dual-wavelength pulses possess the soliton energy quantization effect. In the process of pulse–pulse collisions, two solitons pass through each other and maintain their properties, qualitatively distinct from single-wavelength solitons that never overlap each other. The dual-wavelength mode-locked operation evolves into single-wavelength mode locking with the decrease of the pumping strength. The dual-peak gain spectrum of erbium-doped fiber and the birefringence-induced cavity filtering effect play crucial roles in the formation of dual-wavelength solitons. Numerical results agree well with analytical solutions and experimental observations. Our study provides an optional method of measuring the fiber dispersion by means of the dual-wavelength solitons.

© 2012 Optical Society of America

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2012 (3)

P. Grelu and N. Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics 6, 84–92 (2012).
[CrossRef]

L. Yun and X. Liu, “Generation and propagation of bound-state pulses in a passively mode-locked figure-eight laser,” IEEE Photon. J. 4, 512–519 (2012).
[CrossRef]

R. Gumenyuk and O. G. Okhotnikov, “Temporal control of vector soliton bunching by slow/fast saturable absorption,” J. Opt. Soc. Am. B 29, 1–7 (2012).
[CrossRef]

2011 (5)

2010 (10)

X. Liu, “Hysteresis phenomena and multipulse formation of a dissipative system in a passively mode-locked fiber laser,” Phys. Rev. A 81, 023811 (2010).
[CrossRef]

X. Liu, “Mechanism of high-energy pulse generation without wave breaking in mode-locked fiber lasers,” Phys. Rev. A 82, 053808 (2010).
[CrossRef]

X. M. Liu, “Dynamic evolution of temporal dissipative-soliton molecules in large normal path-averaged dispersion fiber lasers,” Phys. Rev. A 82, 063834 (2010).
[CrossRef]

Z. Sun, T. Hasan, F. Wang, A. G. Rozhin, I. H. White, and A. C. Ferrari, “Ultrafast stretched-pulse fiber laser mode-locked by carbon nanotubes,” Nano Res. 3, 404–411 (2010).
[CrossRef]

L. R. Wang, X. M. Liu, and Y. K. Gong, “Giant-chirp oscillator for ultra-large net-normal-dispersion fiber lasers,” Laser Phys. Lett. 7, 63–67 (2010).
[CrossRef]

X. M. Liu, “Pulse evolution without wave breaking in a strongly dissipative-dispersive laser system,” Phys. Rev. A 81, 053819 (2010).
[CrossRef]

H. B. Sun, X. Liu, Y. K. Gong, X. H. Li, and L. R. Wang, “Broadly tunable dual-wavelength erbium-doped fiber ring laser based on a high birefringence fiber loop mirror,” Laser Phys. 20, 522–527 (2010).
[CrossRef]

X. H. Li, X. M. Liu, Y. Gong, H. Sun, L. Wang, and K. Lu, “A novel erbium/ytterbium co-doped distributed feedback fiber laser with single-polarization and unidirectional output,” Laser Phys. Lett. 7, 55–59 (2010).
[CrossRef]

W. H. Renninger, A. Chong, and F. W. Wise, “Area theorem and energy quantization for dissipative optical solitons,” J. Opt. Soc. Am. B 27, 1978–1982 (2010).
[CrossRef]

X. H. Li, X. M. Liu, X. H. Hu, L. R. Wang, H. Lu, Y. S. Wang, and W. Zhao, “Long-cavity passively mode-locked fiber ring laser with high-energy rectangular-shape pulses in anomalous dispersion regime,” Opt. Lett. 35, 3249–3251 (2010).
[CrossRef]

2009 (4)

2008 (7)

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, “Wideband-tuneable, nanotube mode-locked, fibre laser,” Nat. Nanotech. 3, 738–742 (2008).
[CrossRef]

X. Liu, Y. Chung, A. Lin, W. Zhao, K. Q. Lu, Y. S. Wang, and T. Y. Zhang, “Tunable and switchable multi-wavelength erbium-doped fiber laser with highly nonlinear photonic crystal fiber and polarization controllers,” Laser Phys. Lett. 5, 904–907 (2008).
[CrossRef]

X. Liu, T. Wang, C. Shu, L. R. Wang, A. Lin, K. Q. Lu, T. Y. Zhang, and W. Zhao, “Passively harmonic mode-locked erbium-doped fiber soliton laser with a nonlinear polarization rotation,” Laser Phys. 18, 1357–1361 (2008).
[CrossRef]

A. Haboucha, H. Leblond, M. Salhi, A. Komarov, and F. Sanchez, “Analysis of soliton pattern formation in passively mode-locked fiber lasers,” Phys. Rev. A 78, 043806 (2008).
[CrossRef]

H. Xu, D. Lei, S. Wen, X. Fu, J. Zhang, Y. Shao, L. Zhang, H. Zhang, and D. Fan, “Observation of central wavelength dynamics in erbium-doped fiber ring laser,” Opt. Express 16, 7169–7174 (2008).
[CrossRef]

L. M. Zhao, D. Y. Tang, H. Zhang, X. Wu, and N. Xiang, “Soliton trapping in fiber lasers,” Opt. Express 16, 9528–9533 (2008).
[CrossRef]

G. Q. Xie, D. Y. Tang, H. Luo, H. J. Zhang, H. H. Yu, J. Y. Wang, X. T. Tao, M. H. Jiang, and L. J. Qian, “Dual-wavelength synchronously mode-locked Nd:CNGG laser,” Opt. Lett. 33, 1872–1874 (2008).
[CrossRef]

2007 (1)

X. M. Liu, “A novel dual-wavelength DFB fiber laser based on symmetrical FBG structure,” IEEE Photon. Technol. Lett. 19, 632–634 (2007).
[CrossRef]

2006 (1)

2005 (5)

X. M. Liu, X. Yang, F. Lu, J. Ng, X. Zhou, and C. Lu, “Stable and uniform dual-wavelength erbium-doped fiber laser based on fiber Bragg gratings and photonic crystal fiber,” Opt. Express 13, 142–147 (2005).
[CrossRef]

V. Roy, M. Olivier, F. Babin, and M. Piche, “Dynamics of periodic pulse collisions in a strongly dissipative-dispersive system,” Phys. Rev. Lett. 94, 203903 (2005).
[CrossRef]

D. Y. Tang, L. M. Zhao, B. Zhao, and A. Q. Liu, “Mechanism of multisoliton formation and soliton energy quantization in passively mode-locked fiber lasers,” Phys. Rev. A 72, 043816(2005).
[CrossRef]

X. Liu, X. Zhou, X. Tang, J. Ng, J. Hao, T. Y. Chai, E. Leong, and C. Lu, “Switchable and tunable multiwavelength erbium-doped fiber laser with fiber Bragg gratings and photonic crystal fiber,” IEEE Photon. Technol. Lett. 17, 1626–1628 (2005).
[CrossRef]

X. Liu and C. Lu, “Self-stabilizing effect of four-wave mixing and its applications on multiwavelength erbium-doped fiber lasers,” IEEE Photon. Technol. Lett. 17, 2541–2543 (2005).
[CrossRef]

2004 (1)

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, “Self-similar evolution of parabolic pulses in a laser,” Phys. Rev. Lett. 92, 213902 (2004).
[CrossRef]

2003 (1)

X. Liu and B. Lee, “A fast method for nonlinear Schrödinger equation,” IEEE Photon. Technol. Lett. 15, 1549–1551 (2003).
[CrossRef]

2002 (1)

D. Pudo, L. R. Chen, D. Giannone, L. Zhang, and I. Bennion, “Actively mode-locked tunable dual-wavelength erbium-doped fiber laser,” IEEE Photon. Technol. Lett. 14, 143–145 (2002).
[CrossRef]

2000 (1)

G. E. Town, L. Chen, and P. W. E. Smith, “Dual wavelength mode-locked fiber laser,” IEEE Photon. Technol. Lett. 12, 1459–1461 (2000).
[CrossRef]

1997 (2)

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65, 277–294 (1997).
[CrossRef]

N. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, “Multisoliton solutions of the complex Ginzburg-Landau equation,” Phys. Rev. Lett. 79, 4047–4051 (1997).
[CrossRef]

1996 (1)

H. A. Haus and W. S. William, “Solitons in optical communications,” Rev. Mod. Phys. 68, 423–444 (1996).
[CrossRef]

1992 (2)

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Panye, “Selfstarting passively mode-locked fiber ring soliton laser exploiting nonlinear polarization rotation,” Electron. Lett. 28, 1391–1393 (1992).
[CrossRef]

S. R. Friberg and K. W. DeLong, “Breakup of bound higher-order solitons,” Opt. Lett. 17, 979–981 (1992).
[CrossRef]

1981 (1)

M. Tateda, N. Shibata, and S. Seikai, “Interferometric method for chromatic dispersion measurement in a single-mode optical fiber,” IEEE J. Quantum Electron. 17, 404–407 (1981).
[CrossRef]

Agrawal, G. P.

Akhmediev, N.

P. Grelu and N. Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics 6, 84–92 (2012).
[CrossRef]

Akhmediev, N. N.

N. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, “Multisoliton solutions of the complex Ginzburg-Landau equation,” Phys. Rev. Lett. 79, 4047–4051 (1997).
[CrossRef]

Ankiewicz, A.

N. N. Akhmediev, A. Ankiewicz, and J. M. Soto-Crespo, “Multisoliton solutions of the complex Ginzburg-Landau equation,” Phys. Rev. Lett. 79, 4047–4051 (1997).
[CrossRef]

Babin, F.

V. Roy, M. Olivier, F. Babin, and M. Piche, “Dynamics of periodic pulse collisions in a strongly dissipative-dispersive system,” Phys. Rev. Lett. 94, 203903 (2005).
[CrossRef]

Babin, S. A.

Bennion, I.

D. Pudo, L. R. Chen, D. Giannone, L. Zhang, and I. Bennion, “Actively mode-locked tunable dual-wavelength erbium-doped fiber laser,” IEEE Photon. Technol. Lett. 14, 143–145 (2002).
[CrossRef]

Buckley, J.

Buckley, J. R.

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, “Self-similar evolution of parabolic pulses in a laser,” Phys. Rev. Lett. 92, 213902 (2004).
[CrossRef]

Chai, T. Y.

X. Liu, X. Zhou, X. Tang, J. Ng, J. Hao, T. Y. Chai, E. Leong, and C. Lu, “Switchable and tunable multiwavelength erbium-doped fiber laser with fiber Bragg gratings and photonic crystal fiber,” IEEE Photon. Technol. Lett. 17, 1626–1628 (2005).
[CrossRef]

Chen, L.

G. E. Town, L. Chen, and P. W. E. Smith, “Dual wavelength mode-locked fiber laser,” IEEE Photon. Technol. Lett. 12, 1459–1461 (2000).
[CrossRef]

Chen, L. R.

D. Pudo, L. R. Chen, D. Giannone, L. Zhang, and I. Bennion, “Actively mode-locked tunable dual-wavelength erbium-doped fiber laser,” IEEE Photon. Technol. Lett. 14, 143–145 (2002).
[CrossRef]

Chong, A.

Chung, Y.

X. Liu, Y. Chung, A. Lin, W. Zhao, K. Q. Lu, Y. S. Wang, and T. Y. Zhang, “Tunable and switchable multi-wavelength erbium-doped fiber laser with highly nonlinear photonic crystal fiber and polarization controllers,” Laser Phys. Lett. 5, 904–907 (2008).
[CrossRef]

Clark, W. G.

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, “Self-similar evolution of parabolic pulses in a laser,” Phys. Rev. Lett. 92, 213902 (2004).
[CrossRef]

DeLong, K. W.

Fan, D.

Fedoruk, M. P.

Ferrari, A. C.

Z. Sun, T. Hasan, F. Wang, A. G. Rozhin, I. H. White, and A. C. Ferrari, “Ultrafast stretched-pulse fiber laser mode-locked by carbon nanotubes,” Nano Res. 3, 404–411 (2010).
[CrossRef]

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, “Wideband-tuneable, nanotube mode-locked, fibre laser,” Nat. Nanotech. 3, 738–742 (2008).
[CrossRef]

Friberg, S. R.

Fu, X.

Giannone, D.

D. Pudo, L. R. Chen, D. Giannone, L. Zhang, and I. Bennion, “Actively mode-locked tunable dual-wavelength erbium-doped fiber laser,” IEEE Photon. Technol. Lett. 14, 143–145 (2002).
[CrossRef]

Gong, Y.

X. H. Li, X. M. Liu, Y. Gong, H. Sun, L. Wang, and K. Lu, “A novel erbium/ytterbium co-doped distributed feedback fiber laser with single-polarization and unidirectional output,” Laser Phys. Lett. 7, 55–59 (2010).
[CrossRef]

Gong, Y. K.

H. B. Sun, X. Liu, Y. K. Gong, X. H. Li, and L. R. Wang, “Broadly tunable dual-wavelength erbium-doped fiber ring laser based on a high birefringence fiber loop mirror,” Laser Phys. 20, 522–527 (2010).
[CrossRef]

L. R. Wang, X. M. Liu, and Y. K. Gong, “Giant-chirp oscillator for ultra-large net-normal-dispersion fiber lasers,” Laser Phys. Lett. 7, 63–67 (2010).
[CrossRef]

Grelu, P.

P. Grelu and N. Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics 6, 84–92 (2012).
[CrossRef]

Gumenyuk, R.

Haboucha, A.

A. Haboucha, H. Leblond, M. Salhi, A. Komarov, and F. Sanchez, “Analysis of soliton pattern formation in passively mode-locked fiber lasers,” Phys. Rev. A 78, 043806 (2008).
[CrossRef]

Hao, J.

X. Liu, X. Zhou, X. Tang, J. Ng, J. Hao, T. Y. Chai, E. Leong, and C. Lu, “Switchable and tunable multiwavelength erbium-doped fiber laser with fiber Bragg gratings and photonic crystal fiber,” IEEE Photon. Technol. Lett. 17, 1626–1628 (2005).
[CrossRef]

Hasan, T.

Z. Sun, T. Hasan, F. Wang, A. G. Rozhin, I. H. White, and A. C. Ferrari, “Ultrafast stretched-pulse fiber laser mode-locked by carbon nanotubes,” Nano Res. 3, 404–411 (2010).
[CrossRef]

Haus, H. A.

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65, 277–294 (1997).
[CrossRef]

H. A. Haus and W. S. William, “Solitons in optical communications,” Rev. Mod. Phys. 68, 423–444 (1996).
[CrossRef]

Hennrich, F.

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, “Wideband-tuneable, nanotube mode-locked, fibre laser,” Nat. Nanotech. 3, 738–742 (2008).
[CrossRef]

Hu, X. H.

Ilday, F. Ö.

F. Ö. Ilday, J. R. Buckley, W. G. Clark, and F. W. Wise, “Self-similar evolution of parabolic pulses in a laser,” Phys. Rev. Lett. 92, 213902 (2004).
[CrossRef]

Ippen, E. P.

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65, 277–294 (1997).
[CrossRef]

Jiang, M. H.

Jones, D. J.

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65, 277–294 (1997).
[CrossRef]

Kharenko, D. S.

Kobtsev, S.

Komarov, A.

A. Haboucha, H. Leblond, M. Salhi, A. Komarov, and F. Sanchez, “Analysis of soliton pattern formation in passively mode-locked fiber lasers,” Phys. Rev. A 78, 043806 (2008).
[CrossRef]

Kukarin, S.

Latkin, A.

Leblond, H.

A. Haboucha, H. Leblond, M. Salhi, A. Komarov, and F. Sanchez, “Analysis of soliton pattern formation in passively mode-locked fiber lasers,” Phys. Rev. A 78, 043806 (2008).
[CrossRef]

Lee, B.

X. Liu and B. Lee, “A fast method for nonlinear Schrödinger equation,” IEEE Photon. Technol. Lett. 15, 1549–1551 (2003).
[CrossRef]

Lei, D.

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X. Liu, X. Zhou, X. Tang, J. Ng, J. Hao, T. Y. Chai, E. Leong, and C. Lu, “Switchable and tunable multiwavelength erbium-doped fiber laser with fiber Bragg gratings and photonic crystal fiber,” IEEE Photon. Technol. Lett. 17, 1626–1628 (2005).
[CrossRef]

Li, X. H.

X. H. Li, X. M. Liu, X. H. Hu, L. R. Wang, H. Lu, Y. S. Wang, and W. Zhao, “Long-cavity passively mode-locked fiber ring laser with high-energy rectangular-shape pulses in anomalous dispersion regime,” Opt. Lett. 35, 3249–3251 (2010).
[CrossRef]

H. B. Sun, X. Liu, Y. K. Gong, X. H. Li, and L. R. Wang, “Broadly tunable dual-wavelength erbium-doped fiber ring laser based on a high birefringence fiber loop mirror,” Laser Phys. 20, 522–527 (2010).
[CrossRef]

X. H. Li, X. M. Liu, Y. Gong, H. Sun, L. Wang, and K. Lu, “A novel erbium/ytterbium co-doped distributed feedback fiber laser with single-polarization and unidirectional output,” Laser Phys. Lett. 7, 55–59 (2010).
[CrossRef]

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X. Liu, Y. Chung, A. Lin, W. Zhao, K. Q. Lu, Y. S. Wang, and T. Y. Zhang, “Tunable and switchable multi-wavelength erbium-doped fiber laser with highly nonlinear photonic crystal fiber and polarization controllers,” Laser Phys. Lett. 5, 904–907 (2008).
[CrossRef]

X. Liu, T. Wang, C. Shu, L. R. Wang, A. Lin, K. Q. Lu, T. Y. Zhang, and W. Zhao, “Passively harmonic mode-locked erbium-doped fiber soliton laser with a nonlinear polarization rotation,” Laser Phys. 18, 1357–1361 (2008).
[CrossRef]

Liu, A. Q.

D. Y. Tang, L. M. Zhao, B. Zhao, and A. Q. Liu, “Mechanism of multisoliton formation and soliton energy quantization in passively mode-locked fiber lasers,” Phys. Rev. A 72, 043816(2005).
[CrossRef]

Liu, X.

L. Yun and X. Liu, “Generation and propagation of bound-state pulses in a passively mode-locked figure-eight laser,” IEEE Photon. J. 4, 512–519 (2012).
[CrossRef]

X. Liu, “Mechanism of high-energy pulse generation without wave breaking in mode-locked fiber lasers,” Phys. Rev. A 82, 053808 (2010).
[CrossRef]

H. B. Sun, X. Liu, Y. K. Gong, X. H. Li, and L. R. Wang, “Broadly tunable dual-wavelength erbium-doped fiber ring laser based on a high birefringence fiber loop mirror,” Laser Phys. 20, 522–527 (2010).
[CrossRef]

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[CrossRef]

X. Liu, “Numerical and experimental investigation of dissipative solitons in passively mode-locked fiber lasers with large net-normal-dispersion and high nonlinearity,” Opt. Express 17, 22401–22416 (2009).
[CrossRef]

X. Liu, “Dissipative soliton evolution in ultra-large normal-cavity-dispersion fiber lasers,” Opt. Express 17, 9549–9557 (2009).
[CrossRef]

X. Liu, T. Wang, C. Shu, L. R. Wang, A. Lin, K. Q. Lu, T. Y. Zhang, and W. Zhao, “Passively harmonic mode-locked erbium-doped fiber soliton laser with a nonlinear polarization rotation,” Laser Phys. 18, 1357–1361 (2008).
[CrossRef]

X. Liu, Y. Chung, A. Lin, W. Zhao, K. Q. Lu, Y. S. Wang, and T. Y. Zhang, “Tunable and switchable multi-wavelength erbium-doped fiber laser with highly nonlinear photonic crystal fiber and polarization controllers,” Laser Phys. Lett. 5, 904–907 (2008).
[CrossRef]

X. Liu and C. Lu, “Self-stabilizing effect of four-wave mixing and its applications on multiwavelength erbium-doped fiber lasers,” IEEE Photon. Technol. Lett. 17, 2541–2543 (2005).
[CrossRef]

X. Liu, X. Zhou, X. Tang, J. Ng, J. Hao, T. Y. Chai, E. Leong, and C. Lu, “Switchable and tunable multiwavelength erbium-doped fiber laser with fiber Bragg gratings and photonic crystal fiber,” IEEE Photon. Technol. Lett. 17, 1626–1628 (2005).
[CrossRef]

X. Liu and B. Lee, “A fast method for nonlinear Schrödinger equation,” IEEE Photon. Technol. Lett. 15, 1549–1551 (2003).
[CrossRef]

Liu, X. M.

X. M. Liu, “Coexistence of strong and weak pulses in a fiber laser with largely anomalous dispersion,” Opt. Express 19, 5874–5887 (2011).
[CrossRef]

X. M. Liu, “Soliton formation and evolution in passively-mode-locked lasers with ultralong anomalous-dispersion fibers,” Phys. Rev. A 84, 023835 (2011).
[CrossRef]

X. M. Liu, “Interaction and motion of solitons in passively-mode-locked fiber lasers,” Phys. Rev. A 84, 053828 (2011).
[CrossRef]

X. H. Li, X. M. Liu, Y. Gong, H. Sun, L. Wang, and K. Lu, “A novel erbium/ytterbium co-doped distributed feedback fiber laser with single-polarization and unidirectional output,” Laser Phys. Lett. 7, 55–59 (2010).
[CrossRef]

X. M. Liu, “Dynamic evolution of temporal dissipative-soliton molecules in large normal path-averaged dispersion fiber lasers,” Phys. Rev. A 82, 063834 (2010).
[CrossRef]

X. M. Liu, “Pulse evolution without wave breaking in a strongly dissipative-dispersive laser system,” Phys. Rev. A 81, 053819 (2010).
[CrossRef]

X. H. Li, X. M. Liu, X. H. Hu, L. R. Wang, H. Lu, Y. S. Wang, and W. Zhao, “Long-cavity passively mode-locked fiber ring laser with high-energy rectangular-shape pulses in anomalous dispersion regime,” Opt. Lett. 35, 3249–3251 (2010).
[CrossRef]

L. R. Wang, X. M. Liu, and Y. K. Gong, “Giant-chirp oscillator for ultra-large net-normal-dispersion fiber lasers,” Laser Phys. Lett. 7, 63–67 (2010).
[CrossRef]

X. M. Liu, “A novel dual-wavelength DFB fiber laser based on symmetrical FBG structure,” IEEE Photon. Technol. Lett. 19, 632–634 (2007).
[CrossRef]

X. M. Liu, X. Yang, F. Lu, J. Ng, X. Zhou, and C. Lu, “Stable and uniform dual-wavelength erbium-doped fiber laser based on fiber Bragg gratings and photonic crystal fiber,” Opt. Express 13, 142–147 (2005).
[CrossRef]

Lu, C.

X. M. Liu, X. Yang, F. Lu, J. Ng, X. Zhou, and C. Lu, “Stable and uniform dual-wavelength erbium-doped fiber laser based on fiber Bragg gratings and photonic crystal fiber,” Opt. Express 13, 142–147 (2005).
[CrossRef]

X. Liu and C. Lu, “Self-stabilizing effect of four-wave mixing and its applications on multiwavelength erbium-doped fiber lasers,” IEEE Photon. Technol. Lett. 17, 2541–2543 (2005).
[CrossRef]

X. Liu, X. Zhou, X. Tang, J. Ng, J. Hao, T. Y. Chai, E. Leong, and C. Lu, “Switchable and tunable multiwavelength erbium-doped fiber laser with fiber Bragg gratings and photonic crystal fiber,” IEEE Photon. Technol. Lett. 17, 1626–1628 (2005).
[CrossRef]

Lu, F.

Lu, H.

Lu, K.

X. H. Li, X. M. Liu, Y. Gong, H. Sun, L. Wang, and K. Lu, “A novel erbium/ytterbium co-doped distributed feedback fiber laser with single-polarization and unidirectional output,” Laser Phys. Lett. 7, 55–59 (2010).
[CrossRef]

Lu, K. Q.

X. Liu, T. Wang, C. Shu, L. R. Wang, A. Lin, K. Q. Lu, T. Y. Zhang, and W. Zhao, “Passively harmonic mode-locked erbium-doped fiber soliton laser with a nonlinear polarization rotation,” Laser Phys. 18, 1357–1361 (2008).
[CrossRef]

X. Liu, Y. Chung, A. Lin, W. Zhao, K. Q. Lu, Y. S. Wang, and T. Y. Zhang, “Tunable and switchable multi-wavelength erbium-doped fiber laser with highly nonlinear photonic crystal fiber and polarization controllers,” Laser Phys. Lett. 5, 904–907 (2008).
[CrossRef]

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V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Panye, “Selfstarting passively mode-locked fiber ring soliton laser exploiting nonlinear polarization rotation,” Electron. Lett. 28, 1391–1393 (1992).
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F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, “Wideband-tuneable, nanotube mode-locked, fibre laser,” Nat. Nanotech. 3, 738–742 (2008).
[CrossRef]

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L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65, 277–294 (1997).
[CrossRef]

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V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Panye, “Selfstarting passively mode-locked fiber ring soliton laser exploiting nonlinear polarization rotation,” Electron. Lett. 28, 1391–1393 (1992).
[CrossRef]

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X. Liu, X. Zhou, X. Tang, J. Ng, J. Hao, T. Y. Chai, E. Leong, and C. Lu, “Switchable and tunable multiwavelength erbium-doped fiber laser with fiber Bragg gratings and photonic crystal fiber,” IEEE Photon. Technol. Lett. 17, 1626–1628 (2005).
[CrossRef]

X. M. Liu, X. Yang, F. Lu, J. Ng, X. Zhou, and C. Lu, “Stable and uniform dual-wavelength erbium-doped fiber laser based on fiber Bragg gratings and photonic crystal fiber,” Opt. Express 13, 142–147 (2005).
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V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Panye, “Selfstarting passively mode-locked fiber ring soliton laser exploiting nonlinear polarization rotation,” Electron. Lett. 28, 1391–1393 (1992).
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Pudo, D.

D. Pudo, L. R. Chen, D. Giannone, L. Zhang, and I. Bennion, “Actively mode-locked tunable dual-wavelength erbium-doped fiber laser,” IEEE Photon. Technol. Lett. 14, 143–145 (2002).
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Renninger, W. H.

Richardson, D. J.

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Panye, “Selfstarting passively mode-locked fiber ring soliton laser exploiting nonlinear polarization rotation,” Electron. Lett. 28, 1391–1393 (1992).
[CrossRef]

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V. Roy, M. Olivier, F. Babin, and M. Piche, “Dynamics of periodic pulse collisions in a strongly dissipative-dispersive system,” Phys. Rev. Lett. 94, 203903 (2005).
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Z. Sun, T. Hasan, F. Wang, A. G. Rozhin, I. H. White, and A. C. Ferrari, “Ultrafast stretched-pulse fiber laser mode-locked by carbon nanotubes,” Nano Res. 3, 404–411 (2010).
[CrossRef]

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, “Wideband-tuneable, nanotube mode-locked, fibre laser,” Nat. Nanotech. 3, 738–742 (2008).
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F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, “Wideband-tuneable, nanotube mode-locked, fibre laser,” Nat. Nanotech. 3, 738–742 (2008).
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M. Tateda, N. Shibata, and S. Seikai, “Interferometric method for chromatic dispersion measurement in a single-mode optical fiber,” IEEE J. Quantum Electron. 17, 404–407 (1981).
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Shu, C.

X. Liu, T. Wang, C. Shu, L. R. Wang, A. Lin, K. Q. Lu, T. Y. Zhang, and W. Zhao, “Passively harmonic mode-locked erbium-doped fiber soliton laser with a nonlinear polarization rotation,” Laser Phys. 18, 1357–1361 (2008).
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Smith, P. W. E.

G. E. Town, L. Chen, and P. W. E. Smith, “Dual wavelength mode-locked fiber laser,” IEEE Photon. Technol. Lett. 12, 1459–1461 (2000).
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X. H. Li, X. M. Liu, Y. Gong, H. Sun, L. Wang, and K. Lu, “A novel erbium/ytterbium co-doped distributed feedback fiber laser with single-polarization and unidirectional output,” Laser Phys. Lett. 7, 55–59 (2010).
[CrossRef]

Sun, H. B.

H. B. Sun, X. Liu, Y. K. Gong, X. H. Li, and L. R. Wang, “Broadly tunable dual-wavelength erbium-doped fiber ring laser based on a high birefringence fiber loop mirror,” Laser Phys. 20, 522–527 (2010).
[CrossRef]

Sun, Z.

Z. Sun, T. Hasan, F. Wang, A. G. Rozhin, I. H. White, and A. C. Ferrari, “Ultrafast stretched-pulse fiber laser mode-locked by carbon nanotubes,” Nano Res. 3, 404–411 (2010).
[CrossRef]

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, “Wideband-tuneable, nanotube mode-locked, fibre laser,” Nat. Nanotech. 3, 738–742 (2008).
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L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65, 277–294 (1997).
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Tang, D. Y.

Tang, X.

X. Liu, X. Zhou, X. Tang, J. Ng, J. Hao, T. Y. Chai, E. Leong, and C. Lu, “Switchable and tunable multiwavelength erbium-doped fiber laser with fiber Bragg gratings and photonic crystal fiber,” IEEE Photon. Technol. Lett. 17, 1626–1628 (2005).
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Tateda, M.

M. Tateda, N. Shibata, and S. Seikai, “Interferometric method for chromatic dispersion measurement in a single-mode optical fiber,” IEEE J. Quantum Electron. 17, 404–407 (1981).
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G. E. Town, L. Chen, and P. W. E. Smith, “Dual wavelength mode-locked fiber laser,” IEEE Photon. Technol. Lett. 12, 1459–1461 (2000).
[CrossRef]

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Wang, F.

Z. Sun, T. Hasan, F. Wang, A. G. Rozhin, I. H. White, and A. C. Ferrari, “Ultrafast stretched-pulse fiber laser mode-locked by carbon nanotubes,” Nano Res. 3, 404–411 (2010).
[CrossRef]

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, “Wideband-tuneable, nanotube mode-locked, fibre laser,” Nat. Nanotech. 3, 738–742 (2008).
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Wang, J. Y.

Wang, L.

X. H. Li, X. M. Liu, Y. Gong, H. Sun, L. Wang, and K. Lu, “A novel erbium/ytterbium co-doped distributed feedback fiber laser with single-polarization and unidirectional output,” Laser Phys. Lett. 7, 55–59 (2010).
[CrossRef]

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L. R. Wang, X. M. Liu, and Y. K. Gong, “Giant-chirp oscillator for ultra-large net-normal-dispersion fiber lasers,” Laser Phys. Lett. 7, 63–67 (2010).
[CrossRef]

H. B. Sun, X. Liu, Y. K. Gong, X. H. Li, and L. R. Wang, “Broadly tunable dual-wavelength erbium-doped fiber ring laser based on a high birefringence fiber loop mirror,” Laser Phys. 20, 522–527 (2010).
[CrossRef]

X. H. Li, X. M. Liu, X. H. Hu, L. R. Wang, H. Lu, Y. S. Wang, and W. Zhao, “Long-cavity passively mode-locked fiber ring laser with high-energy rectangular-shape pulses in anomalous dispersion regime,” Opt. Lett. 35, 3249–3251 (2010).
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X. Liu, T. Wang, C. Shu, L. R. Wang, A. Lin, K. Q. Lu, T. Y. Zhang, and W. Zhao, “Passively harmonic mode-locked erbium-doped fiber soliton laser with a nonlinear polarization rotation,” Laser Phys. 18, 1357–1361 (2008).
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X. Liu, T. Wang, C. Shu, L. R. Wang, A. Lin, K. Q. Lu, T. Y. Zhang, and W. Zhao, “Passively harmonic mode-locked erbium-doped fiber soliton laser with a nonlinear polarization rotation,” Laser Phys. 18, 1357–1361 (2008).
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X. H. Li, X. M. Liu, X. H. Hu, L. R. Wang, H. Lu, Y. S. Wang, and W. Zhao, “Long-cavity passively mode-locked fiber ring laser with high-energy rectangular-shape pulses in anomalous dispersion regime,” Opt. Lett. 35, 3249–3251 (2010).
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X. Liu, Y. Chung, A. Lin, W. Zhao, K. Q. Lu, Y. S. Wang, and T. Y. Zhang, “Tunable and switchable multi-wavelength erbium-doped fiber laser with highly nonlinear photonic crystal fiber and polarization controllers,” Laser Phys. Lett. 5, 904–907 (2008).
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White, I. H.

Z. Sun, T. Hasan, F. Wang, A. G. Rozhin, I. H. White, and A. C. Ferrari, “Ultrafast stretched-pulse fiber laser mode-locked by carbon nanotubes,” Nano Res. 3, 404–411 (2010).
[CrossRef]

F. Wang, A. G. Rozhin, V. Scardaci, Z. Sun, F. Hennrich, I. H. White, W. I. Milne, and A. C. Ferrari, “Wideband-tuneable, nanotube mode-locked, fibre laser,” Nat. Nanotech. 3, 738–742 (2008).
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L. Yun and X. Liu, “Generation and propagation of bound-state pulses in a passively mode-locked figure-eight laser,” IEEE Photon. J. 4, 512–519 (2012).
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Zhang, H. J.

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Zhang, L.

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[CrossRef]

Zhang, T. Y.

X. Liu, T. Wang, C. Shu, L. R. Wang, A. Lin, K. Q. Lu, T. Y. Zhang, and W. Zhao, “Passively harmonic mode-locked erbium-doped fiber soliton laser with a nonlinear polarization rotation,” Laser Phys. 18, 1357–1361 (2008).
[CrossRef]

X. Liu, Y. Chung, A. Lin, W. Zhao, K. Q. Lu, Y. S. Wang, and T. Y. Zhang, “Tunable and switchable multi-wavelength erbium-doped fiber laser with highly nonlinear photonic crystal fiber and polarization controllers,” Laser Phys. Lett. 5, 904–907 (2008).
[CrossRef]

Zhao, B.

D. Y. Tang, L. M. Zhao, B. Zhao, and A. Q. Liu, “Mechanism of multisoliton formation and soliton energy quantization in passively mode-locked fiber lasers,” Phys. Rev. A 72, 043816(2005).
[CrossRef]

Zhao, L. M.

Zhao, W.

X. H. Li, X. M. Liu, X. H. Hu, L. R. Wang, H. Lu, Y. S. Wang, and W. Zhao, “Long-cavity passively mode-locked fiber ring laser with high-energy rectangular-shape pulses in anomalous dispersion regime,” Opt. Lett. 35, 3249–3251 (2010).
[CrossRef]

X. Liu, Y. Chung, A. Lin, W. Zhao, K. Q. Lu, Y. S. Wang, and T. Y. Zhang, “Tunable and switchable multi-wavelength erbium-doped fiber laser with highly nonlinear photonic crystal fiber and polarization controllers,” Laser Phys. Lett. 5, 904–907 (2008).
[CrossRef]

X. Liu, T. Wang, C. Shu, L. R. Wang, A. Lin, K. Q. Lu, T. Y. Zhang, and W. Zhao, “Passively harmonic mode-locked erbium-doped fiber soliton laser with a nonlinear polarization rotation,” Laser Phys. 18, 1357–1361 (2008).
[CrossRef]

Zhou, X.

X. M. Liu, X. Yang, F. Lu, J. Ng, X. Zhou, and C. Lu, “Stable and uniform dual-wavelength erbium-doped fiber laser based on fiber Bragg gratings and photonic crystal fiber,” Opt. Express 13, 142–147 (2005).
[CrossRef]

X. Liu, X. Zhou, X. Tang, J. Ng, J. Hao, T. Y. Chai, E. Leong, and C. Lu, “Switchable and tunable multiwavelength erbium-doped fiber laser with fiber Bragg gratings and photonic crystal fiber,” IEEE Photon. Technol. Lett. 17, 1626–1628 (2005).
[CrossRef]

Appl. Phys. B (1)

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65, 277–294 (1997).
[CrossRef]

Electron. Lett. (1)

V. J. Matsas, T. P. Newson, D. J. Richardson, and D. N. Panye, “Selfstarting passively mode-locked fiber ring soliton laser exploiting nonlinear polarization rotation,” Electron. Lett. 28, 1391–1393 (1992).
[CrossRef]

IEEE J. Quantum Electron. (1)

M. Tateda, N. Shibata, and S. Seikai, “Interferometric method for chromatic dispersion measurement in a single-mode optical fiber,” IEEE J. Quantum Electron. 17, 404–407 (1981).
[CrossRef]

IEEE Photon. J. (1)

L. Yun and X. Liu, “Generation and propagation of bound-state pulses in a passively mode-locked figure-eight laser,” IEEE Photon. J. 4, 512–519 (2012).
[CrossRef]

IEEE Photon. Technol. Lett. (6)

X. Liu, X. Zhou, X. Tang, J. Ng, J. Hao, T. Y. Chai, E. Leong, and C. Lu, “Switchable and tunable multiwavelength erbium-doped fiber laser with fiber Bragg gratings and photonic crystal fiber,” IEEE Photon. Technol. Lett. 17, 1626–1628 (2005).
[CrossRef]

X. M. Liu, “A novel dual-wavelength DFB fiber laser based on symmetrical FBG structure,” IEEE Photon. Technol. Lett. 19, 632–634 (2007).
[CrossRef]

X. Liu and C. Lu, “Self-stabilizing effect of four-wave mixing and its applications on multiwavelength erbium-doped fiber lasers,” IEEE Photon. Technol. Lett. 17, 2541–2543 (2005).
[CrossRef]

X. Liu and B. Lee, “A fast method for nonlinear Schrödinger equation,” IEEE Photon. Technol. Lett. 15, 1549–1551 (2003).
[CrossRef]

D. Pudo, L. R. Chen, D. Giannone, L. Zhang, and I. Bennion, “Actively mode-locked tunable dual-wavelength erbium-doped fiber laser,” IEEE Photon. Technol. Lett. 14, 143–145 (2002).
[CrossRef]

G. E. Town, L. Chen, and P. W. E. Smith, “Dual wavelength mode-locked fiber laser,” IEEE Photon. Technol. Lett. 12, 1459–1461 (2000).
[CrossRef]

J. Opt. Soc. Am. B (4)

Laser Phys. (2)

X. Liu, T. Wang, C. Shu, L. R. Wang, A. Lin, K. Q. Lu, T. Y. Zhang, and W. Zhao, “Passively harmonic mode-locked erbium-doped fiber soliton laser with a nonlinear polarization rotation,” Laser Phys. 18, 1357–1361 (2008).
[CrossRef]

H. B. Sun, X. Liu, Y. K. Gong, X. H. Li, and L. R. Wang, “Broadly tunable dual-wavelength erbium-doped fiber ring laser based on a high birefringence fiber loop mirror,” Laser Phys. 20, 522–527 (2010).
[CrossRef]

Laser Phys. Lett. (3)

X. Liu, Y. Chung, A. Lin, W. Zhao, K. Q. Lu, Y. S. Wang, and T. Y. Zhang, “Tunable and switchable multi-wavelength erbium-doped fiber laser with highly nonlinear photonic crystal fiber and polarization controllers,” Laser Phys. Lett. 5, 904–907 (2008).
[CrossRef]

X. H. Li, X. M. Liu, Y. Gong, H. Sun, L. Wang, and K. Lu, “A novel erbium/ytterbium co-doped distributed feedback fiber laser with single-polarization and unidirectional output,” Laser Phys. Lett. 7, 55–59 (2010).
[CrossRef]

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