Abstract

We highlight two important aspects related to a mathematical modeling of pulsed fiber lasers with long and ultra-long ring cavity –impact of an initial noise and a cavity length on generation of single optical pulses. Using as an example a simple scalar model of a ring fiber laser that describes the radiation build-up from noise and the following intra-cavity pulse dynamics during a round trip we study dependence of generated pulse characteristics on the resonator length in the range from 30 m up to 2 km.

© 2013 OSA

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  28. S.K.  Turitsyn, B.  Bale, M.P.  Fedoruk, “Dispersion-managed solitons in fibre systems and lasers,” Phys. Rep., 521(4), 135–203 (2012).
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2012 (7)

B.N.  Nyushkov, A.V.  Ivanenko, S.M.  Kobtsev, S.K.  Turitsyn, C.  Mou, L.  Zhang, V.I.  Denisov, V.S.  Pivtsov, “Gamma-shaped long-cavity normal-dispersion mode-locked Er-fiber laser for sub-nanosecond high-energy pulsed generation,” Laser Phys. Lett. 9(1), 56–67 (2012).
[CrossRef]

N.  Li, J.  Xue, C.  Ouyang, K.  Wu, J.H.  Wong, S.  Aditya, P.P.  Shum, “Cavity-length optimization for high energy pulse generation in a long cavity passively mode-locked all-fiber ring laser,” Appl. Optics 51, 3726–3730 (2012).
[CrossRef]

A.  Boucon, B.  Barviau, J.  Fatome, C.  Finot, T.  Sylvestre, M. W.  Lee, P.  Grelu, G.  Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B, 7, 1–5 (2012).

P.  Grelu N.  Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics 6(2), 84–92 (2012).
[CrossRef]

S.K.  Turitsyn, B.  Bale, M.P.  Fedoruk, “Dispersion-managed solitons in fibre systems and lasers,” Phys. Rep., 521(4), 135–203 (2012).
[CrossRef]

Z.Q.  Luo, C.C.  Ye, H.Y.  Fu, H.H.  Cheng, J.Z.  Wang, Z.P.  Cai, “Raman fiber laser harmonically mode-locked by exploiting the intermodal beating of CW multimode pump source,” Opt. Express 20, 19905–19911 (2012).
[CrossRef] [PubMed]

S.  Smirnov, S.  Kobtsev, S.  Kukarin, A.  Ivanenko, “Three key regimes of single pulse generation per round trip of all-normal-dispersion fiber lasers mode-locked with nonlinear polarization rotation,” Opt. Express 20, 27447–27453 (2012).
[CrossRef] [PubMed]

2011 (3)

2010 (8)

S.  Kobtsev, S.  Kukarin, S.  Smirnov, S.  Turitsyn, A.  Latkin, “Different generation regimes of mode-locked all-positive-dispersion all-fiber Yb laser,” Proc. of SPIE, 7580, 758028–2, (2010).
[CrossRef]

B.N.  Nyushkov, V.I.  Denisov, S.M.  Kobtsev, V.S.  Pivtsov, N.A.  Kolyada, A.V.  Ivanenko, S.K.  Turitsyn, “Generation of 1.7-microJ pulses at 1.55 micrometer by a self-modelocked all-fiber laser with a kilometers-long linear-ring cavity,” Laser Phys. Lett.1–5 (2010).

A.  Ivanenko, S.  Turitsyn, S.  Kobsev, M.  Dubov, “Mode-Locking in 25-km Fibre Laser,” ECOC 2010, 19–23, 2010.

V.I.  Denisov, B.N.  Nyushkov, V.S.  Pivtsov, “Self-mode-locked all-fibre erbium laser with a low repetition rate and high pulse energy,” Quantum Electron. 40, 25–27 (2010).
[CrossRef]

B.  Oktem, C.  Ülgüdür, F.  Ömer Ilday, “Soliton–similariton fibre laser,” Nat. Photonics 4, 307–311 (2010).
[CrossRef]

Y.  Senoo, N.  Nishizawa, Y.  Sakakibara, K.  Sumimura, E.  Itoga, H.  Kataura, K.  Itoh, “Ultralow-repetition-rate, high-energy, polarization-maintaining, Er-doped, ultrashort-pulse fiber laser using single-wall-carbon-nanotube saturable absorber,” Opt. Express 18, 20673–20680 (2010).
[CrossRef] [PubMed]

X.  Li, X.  Liu, X.  Hu, L.  Wang, H.  Lu, Y.  Wang, 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] [PubMed]

B.G.  Bale, S.  Boscolo, J.N.  Kutz, S.K.  Turitsyn, “Intracavity dynamics in high-power mode-locked fiber lasers,” Phys. Rev. A 81, 033828 (2010).
[CrossRef]

2009 (7)

O.  Shtyrina, M.  Fedoruk, S.  Turitsyn, R.  Herda, O.  Okhotnikov, J. Opt. Soc. Am. B 26, 346 (2009).
[CrossRef]

S.K.  Turitsyn, “Theory of energy evolution in laser resonators with saturated gain and non-saturated loss,” Opt. Express 17, 11898 (2009).
[CrossRef] [PubMed]

S.  Kobtsev, S.  Kukarin, S.  Smirnov, S.K.  Turitsyn, A.  Latkin, “Generation of double-scale femto/pico-second optical lumps in mode-locked fiber lasers,” Opt. Express 17, 20707 (2009).
[CrossRef] [PubMed]

E.J.R.  Kelleher, J.C.  Travers, E.P.  Ippen, Z.  Sun, A.C.  Ferrari, S.V.  Popov, J.R.  Taylor, “Generation and direct measurement of giant chirp in a passively mode-locked laser,” Opt. Lett. 34, 3526–3528 (2009).
[CrossRef] [PubMed]

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 bf 17(25), 22401–22416 (2009).
[CrossRef]

S.  Kobtsev, S.  Kukarin, S.  Smirnov, A.I.  Latkin, S.  Turitsyn, CLEO/Europe, CJ84, 2009.

L.  Chen, M.  Zhang, C.  Zhou, Y.  Cai, L.  Ren, Z.  Zhang, “Ultra-low repetition rate linear-cavity erbium-doped fibre laser modelocked with semiconductor saturable absorber mirror,” Electron. Lett. 45, 731 (2009).
[CrossRef]

2008 (2)

F.W.  Wise, A.  Chong, W.H.  Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photonics Rev. 2, 58–73 (2008).
[CrossRef]

S.  Kobtsev, S.  Kukarin, Y.  Fedotov, “Ultra-low repetition rate mode-locked fiber laser with high-energy pulses,” Opt. Express 16, 21936–21941 (2008).
[CrossRef] [PubMed]

2007 (1)

2006 (1)

V.L.  Kalashnikov, E.  Podivilov, A.  Chernykh, A.  Apolonski, “Chirped-pulse oscillators: theory and experiment,” Appl. Phys. B 83(4), 503–510 (2006).
[CrossRef]

2005 (1)

1995 (1)

Aditya, S.

N.  Li, J.  Xue, C.  Ouyang, K.  Wu, J.H.  Wong, S.  Aditya, P.P.  Shum, “Cavity-length optimization for high energy pulse generation in a long cavity passively mode-locked all-fiber ring laser,” Appl. Optics 51, 3726–3730 (2012).
[CrossRef]

Akhmediev, N.

P.  Grelu N.  Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics 6(2), 84–92 (2012).
[CrossRef]

Apolonski, A.

V.L.  Kalashnikov, E.  Podivilov, A.  Chernykh, A.  Apolonski, “Chirped-pulse oscillators: theory and experiment,” Appl. Phys. B 83(4), 503–510 (2006).
[CrossRef]

Babin, S.A.

Bale, B.

S.K.  Turitsyn, B.  Bale, M.P.  Fedoruk, “Dispersion-managed solitons in fibre systems and lasers,” Phys. Rep., 521(4), 135–203 (2012).
[CrossRef]

Bale, B.G

B.G  Bale, O.G.  Okhotnikov, S.K.  Turitsyn, “Modeling and Technologies of Ultrafast Fiber Lasers” in Fiber Lasers, O. G.  Okhotnikov, ed. (Wiley-VCH Verlag GmbH Co., 2012).

Bale, B.G.

B.G.  Bale, S.  Boscolo, J.N.  Kutz, S.K.  Turitsyn, “Intracavity dynamics in high-power mode-locked fiber lasers,” Phys. Rev. A 81, 033828 (2010).
[CrossRef]

Barviau, B.

A.  Boucon, B.  Barviau, J.  Fatome, C.  Finot, T.  Sylvestre, M. W.  Lee, P.  Grelu, G.  Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B, 7, 1–5 (2012).

Boscolo, S.

B.G.  Bale, S.  Boscolo, J.N.  Kutz, S.K.  Turitsyn, “Intracavity dynamics in high-power mode-locked fiber lasers,” Phys. Rev. A 81, 033828 (2010).
[CrossRef]

Boucon, A.

A.  Boucon, B.  Barviau, J.  Fatome, C.  Finot, T.  Sylvestre, M. W.  Lee, P.  Grelu, G.  Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B, 7, 1–5 (2012).

Cai, Y.

L.  Chen, M.  Zhang, C.  Zhou, Y.  Cai, L.  Ren, Z.  Zhang, “Ultra-low repetition rate linear-cavity erbium-doped fibre laser modelocked with semiconductor saturable absorber mirror,” Electron. Lett. 45, 731 (2009).
[CrossRef]

Cai, Z.P.

Chen, L.

L.  Chen, M.  Zhang, C.  Zhou, Y.  Cai, L.  Ren, Z.  Zhang, “Ultra-low repetition rate linear-cavity erbium-doped fibre laser modelocked with semiconductor saturable absorber mirror,” Electron. Lett. 45, 731 (2009).
[CrossRef]

Cheng, H.H.

Chernykh, A.

V.L.  Kalashnikov, E.  Podivilov, A.  Chernykh, A.  Apolonski, “Chirped-pulse oscillators: theory and experiment,” Appl. Phys. B 83(4), 503–510 (2006).
[CrossRef]

Chernykh, A.I.

Chong, A.

F.W.  Wise, A.  Chong, W.H.  Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photonics Rev. 2, 58–73 (2008).
[CrossRef]

Denisov, V.I.

B.N.  Nyushkov, A.V.  Ivanenko, S.M.  Kobtsev, S.K.  Turitsyn, C.  Mou, L.  Zhang, V.I.  Denisov, V.S.  Pivtsov, “Gamma-shaped long-cavity normal-dispersion mode-locked Er-fiber laser for sub-nanosecond high-energy pulsed generation,” Laser Phys. Lett. 9(1), 56–67 (2012).
[CrossRef]

B.N.  Nyushkov, V.I.  Denisov, S.M.  Kobtsev, V.S.  Pivtsov, N.A.  Kolyada, A.V.  Ivanenko, S.K.  Turitsyn, “Generation of 1.7-microJ pulses at 1.55 micrometer by a self-modelocked all-fiber laser with a kilometers-long linear-ring cavity,” Laser Phys. Lett.1–5 (2010).

V.I.  Denisov, B.N.  Nyushkov, V.S.  Pivtsov, “Self-mode-locked all-fibre erbium laser with a low repetition rate and high pulse energy,” Quantum Electron. 40, 25–27 (2010).
[CrossRef]

Dubov, M.

A.  Ivanenko, S.  Turitsyn, S.  Kobsev, M.  Dubov, “Mode-Locking in 25-km Fibre Laser,” ECOC 2010, 19–23, 2010.

Fatome, J.

A.  Boucon, B.  Barviau, J.  Fatome, C.  Finot, T.  Sylvestre, M. W.  Lee, P.  Grelu, G.  Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B, 7, 1–5 (2012).

Fedoruk, M.

Fedoruk, M.P.

Fedotov, Y.

Ferrari, A.C.

Finot, C.

A.  Boucon, B.  Barviau, J.  Fatome, C.  Finot, T.  Sylvestre, M. W.  Lee, P.  Grelu, G.  Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B, 7, 1–5 (2012).

Fu, H.Y.

Grelu, P.

P.  Grelu N.  Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics 6(2), 84–92 (2012).
[CrossRef]

A.  Boucon, B.  Barviau, J.  Fatome, C.  Finot, T.  Sylvestre, M. W.  Lee, P.  Grelu, G.  Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B, 7, 1–5 (2012).

Herda, R.

Hu, X.

Ippen, E.P.

Itoga, E.

Itoh, K.

Ivanenko, A.

Ivanenko, A.V.

B.N.  Nyushkov, A.V.  Ivanenko, S.M.  Kobtsev, S.K.  Turitsyn, C.  Mou, L.  Zhang, V.I.  Denisov, V.S.  Pivtsov, “Gamma-shaped long-cavity normal-dispersion mode-locked Er-fiber laser for sub-nanosecond high-energy pulsed generation,” Laser Phys. Lett. 9(1), 56–67 (2012).
[CrossRef]

B.N.  Nyushkov, V.I.  Denisov, S.M.  Kobtsev, V.S.  Pivtsov, N.A.  Kolyada, A.V.  Ivanenko, S.K.  Turitsyn, “Generation of 1.7-microJ pulses at 1.55 micrometer by a self-modelocked all-fiber laser with a kilometers-long linear-ring cavity,” Laser Phys. Lett.1–5 (2010).

Kalashnikov, V.L.

V.L.  Kalashnikov, E.  Podivilov, A.  Chernykh, A.  Apolonski, “Chirped-pulse oscillators: theory and experiment,” Appl. Phys. B 83(4), 503–510 (2006).
[CrossRef]

Kataura, H.

Kelleher, E.J.R.

Kharenko, D.S.

Kobsev, S.

A.  Ivanenko, S.  Turitsyn, S.  Kobsev, M.  Dubov, “Mode-Locking in 25-km Fibre Laser,” ECOC 2010, 19–23, 2010.

Kobtsev, S.

Kobtsev, S.M.

B.N.  Nyushkov, A.V.  Ivanenko, S.M.  Kobtsev, S.K.  Turitsyn, C.  Mou, L.  Zhang, V.I.  Denisov, V.S.  Pivtsov, “Gamma-shaped long-cavity normal-dispersion mode-locked Er-fiber laser for sub-nanosecond high-energy pulsed generation,” Laser Phys. Lett. 9(1), 56–67 (2012).
[CrossRef]

S.M.  Kobtsev S.V.  Smirnov, “Fiber Lasers Mode-Locked Due to Nonlinear Polarization Evolution: Golden Mean of Cavity Length,” Laser Phys. 21(2), 272–276 (2011).
[CrossRef]

B.N.  Nyushkov, V.I.  Denisov, S.M.  Kobtsev, V.S.  Pivtsov, N.A.  Kolyada, A.V.  Ivanenko, S.K.  Turitsyn, “Generation of 1.7-microJ pulses at 1.55 micrometer by a self-modelocked all-fiber laser with a kilometers-long linear-ring cavity,” Laser Phys. Lett.1–5 (2010).

Kolyada, N.A.

B.N.  Nyushkov, V.I.  Denisov, S.M.  Kobtsev, V.S.  Pivtsov, N.A.  Kolyada, A.V.  Ivanenko, S.K.  Turitsyn, “Generation of 1.7-microJ pulses at 1.55 micrometer by a self-modelocked all-fiber laser with a kilometers-long linear-ring cavity,” Laser Phys. Lett.1–5 (2010).

Kukarin, S.

Kutz, J.N.

B.G.  Bale, S.  Boscolo, J.N.  Kutz, S.K.  Turitsyn, “Intracavity dynamics in high-power mode-locked fiber lasers,” Phys. Rev. A 81, 033828 (2010).
[CrossRef]

Latkin, A.

S.  Kobtsev, S.  Kukarin, S.  Smirnov, S.  Turitsyn, A.  Latkin, “Different generation regimes of mode-locked all-positive-dispersion all-fiber Yb laser,” Proc. of SPIE, 7580, 758028–2, (2010).
[CrossRef]

S.  Kobtsev, S.  Kukarin, S.  Smirnov, S.K.  Turitsyn, A.  Latkin, “Generation of double-scale femto/pico-second optical lumps in mode-locked fiber lasers,” Opt. Express 17, 20707 (2009).
[CrossRef] [PubMed]

Latkin, A.I.

S.  Kobtsev, S.  Kukarin, S.  Smirnov, A.I.  Latkin, S.  Turitsyn, CLEO/Europe, CJ84, 2009.

Lee, M. W.

A.  Boucon, B.  Barviau, J.  Fatome, C.  Finot, T.  Sylvestre, M. W.  Lee, P.  Grelu, G.  Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B, 7, 1–5 (2012).

Li, N.

N.  Li, J.  Xue, C.  Ouyang, K.  Wu, J.H.  Wong, S.  Aditya, P.P.  Shum, “Cavity-length optimization for high energy pulse generation in a long cavity passively mode-locked all-fiber ring laser,” Appl. Optics 51, 3726–3730 (2012).
[CrossRef]

Li, X.

Limpert, J.

Liu, X.

X.  Li, X.  Liu, X.  Hu, L.  Wang, H.  Lu, Y.  Wang, 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] [PubMed]

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 bf 17(25), 22401–22416 (2009).
[CrossRef]

Lu, H.

Luo, Z.Q.

Martinez, A.

Millot, G.

A.  Boucon, B.  Barviau, J.  Fatome, C.  Finot, T.  Sylvestre, M. W.  Lee, P.  Grelu, G.  Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B, 7, 1–5 (2012).

Mou, C.

B.N.  Nyushkov, A.V.  Ivanenko, S.M.  Kobtsev, S.K.  Turitsyn, C.  Mou, L.  Zhang, V.I.  Denisov, V.S.  Pivtsov, “Gamma-shaped long-cavity normal-dispersion mode-locked Er-fiber laser for sub-nanosecond high-energy pulsed generation,” Laser Phys. Lett. 9(1), 56–67 (2012).
[CrossRef]

Nishizawa, N.

Nyushkov, B.N.

B.N.  Nyushkov, A.V.  Ivanenko, S.M.  Kobtsev, S.K.  Turitsyn, C.  Mou, L.  Zhang, V.I.  Denisov, V.S.  Pivtsov, “Gamma-shaped long-cavity normal-dispersion mode-locked Er-fiber laser for sub-nanosecond high-energy pulsed generation,” Laser Phys. Lett. 9(1), 56–67 (2012).
[CrossRef]

V.I.  Denisov, B.N.  Nyushkov, V.S.  Pivtsov, “Self-mode-locked all-fibre erbium laser with a low repetition rate and high pulse energy,” Quantum Electron. 40, 25–27 (2010).
[CrossRef]

B.N.  Nyushkov, V.I.  Denisov, S.M.  Kobtsev, V.S.  Pivtsov, N.A.  Kolyada, A.V.  Ivanenko, S.K.  Turitsyn, “Generation of 1.7-microJ pulses at 1.55 micrometer by a self-modelocked all-fiber laser with a kilometers-long linear-ring cavity,” Laser Phys. Lett.1–5 (2010).

Okhotnikov, O.

Okhotnikov, O.G.

B.G  Bale, O.G.  Okhotnikov, S.K.  Turitsyn, “Modeling and Technologies of Ultrafast Fiber Lasers” in Fiber Lasers, O. G.  Okhotnikov, ed. (Wiley-VCH Verlag GmbH Co., 2012).

Oktem, B.

B.  Oktem, C.  Ülgüdür, F.  Ömer Ilday, “Soliton–similariton fibre laser,” Nat. Photonics 4, 307–311 (2010).
[CrossRef]

Ömer Ilday, F.

B.  Oktem, C.  Ülgüdür, F.  Ömer Ilday, “Soliton–similariton fibre laser,” Nat. Photonics 4, 307–311 (2010).
[CrossRef]

Ortaç, B.

Ouyang, C.

N.  Li, J.  Xue, C.  Ouyang, K.  Wu, J.H.  Wong, S.  Aditya, P.P.  Shum, “Cavity-length optimization for high energy pulse generation in a long cavity passively mode-locked all-fiber ring laser,” Appl. Optics 51, 3726–3730 (2012).
[CrossRef]

Pivtsov, V.S.

B.N.  Nyushkov, A.V.  Ivanenko, S.M.  Kobtsev, S.K.  Turitsyn, C.  Mou, L.  Zhang, V.I.  Denisov, V.S.  Pivtsov, “Gamma-shaped long-cavity normal-dispersion mode-locked Er-fiber laser for sub-nanosecond high-energy pulsed generation,” Laser Phys. Lett. 9(1), 56–67 (2012).
[CrossRef]

B.N.  Nyushkov, V.I.  Denisov, S.M.  Kobtsev, V.S.  Pivtsov, N.A.  Kolyada, A.V.  Ivanenko, S.K.  Turitsyn, “Generation of 1.7-microJ pulses at 1.55 micrometer by a self-modelocked all-fiber laser with a kilometers-long linear-ring cavity,” Laser Phys. Lett.1–5 (2010).

V.I.  Denisov, B.N.  Nyushkov, V.S.  Pivtsov, “Self-mode-locked all-fibre erbium laser with a low repetition rate and high pulse energy,” Quantum Electron. 40, 25–27 (2010).
[CrossRef]

Podivilov, E.

V.L.  Kalashnikov, E.  Podivilov, A.  Chernykh, A.  Apolonski, “Chirped-pulse oscillators: theory and experiment,” Appl. Phys. B 83(4), 503–510 (2006).
[CrossRef]

Podivilov, E.V.

Popov, S.V.

Ren, L.

L.  Chen, M.  Zhang, C.  Zhou, Y.  Cai, L.  Ren, Z.  Zhang, “Ultra-low repetition rate linear-cavity erbium-doped fibre laser modelocked with semiconductor saturable absorber mirror,” Electron. Lett. 45, 731 (2009).
[CrossRef]

Renninger, W.H.

F.W.  Wise, A.  Chong, W.H.  Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photonics Rev. 2, 58–73 (2008).
[CrossRef]

Sakakibara, Y.

Schreiber, T.

Senoo, Y.

Shtyrina, O.

Shtyrina, O.V.

Shum, P.P.

N.  Li, J.  Xue, C.  Ouyang, K.  Wu, J.H.  Wong, S.  Aditya, P.P.  Shum, “Cavity-length optimization for high energy pulse generation in a long cavity passively mode-locked all-fiber ring laser,” Appl. Optics 51, 3726–3730 (2012).
[CrossRef]

Siegman, A. E.

A. E.  Siegman, Lasers, (University Science Books, 1986).

Smirnov, S.

Smirnov, S.V.

S.M.  Kobtsev S.V.  Smirnov, “Fiber Lasers Mode-Locked Due to Nonlinear Polarization Evolution: Golden Mean of Cavity Length,” Laser Phys. 21(2), 272–276 (2011).
[CrossRef]

Sumimura, K.

Sun, Z.

Sylvestre, T.

A.  Boucon, B.  Barviau, J.  Fatome, C.  Finot, T.  Sylvestre, M. W.  Lee, P.  Grelu, G.  Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B, 7, 1–5 (2012).

Tang, D.

Taylor, J.R.

Travers, J.C.

Tünnermann, A.

Turitsyn, S.

S.  Kobtsev, S.  Kukarin, S.  Smirnov, S.  Turitsyn, A.  Latkin, “Different generation regimes of mode-locked all-positive-dispersion all-fiber Yb laser,” Proc. of SPIE, 7580, 758028–2, (2010).
[CrossRef]

A.  Ivanenko, S.  Turitsyn, S.  Kobsev, M.  Dubov, “Mode-Locking in 25-km Fibre Laser,” ECOC 2010, 19–23, 2010.

S.  Kobtsev, S.  Kukarin, S.  Smirnov, A.I.  Latkin, S.  Turitsyn, CLEO/Europe, CJ84, 2009.

O.  Shtyrina, M.  Fedoruk, S.  Turitsyn, R.  Herda, O.  Okhotnikov, J. Opt. Soc. Am. B 26, 346 (2009).
[CrossRef]

Turitsyn, S.K.

S.K.  Turitsyn, B.  Bale, M.P.  Fedoruk, “Dispersion-managed solitons in fibre systems and lasers,” Phys. Rep., 521(4), 135–203 (2012).
[CrossRef]

B.N.  Nyushkov, A.V.  Ivanenko, S.M.  Kobtsev, S.K.  Turitsyn, C.  Mou, L.  Zhang, V.I.  Denisov, V.S.  Pivtsov, “Gamma-shaped long-cavity normal-dispersion mode-locked Er-fiber laser for sub-nanosecond high-energy pulsed generation,” Laser Phys. Lett. 9(1), 56–67 (2012).
[CrossRef]

B.N.  Nyushkov, V.I.  Denisov, S.M.  Kobtsev, V.S.  Pivtsov, N.A.  Kolyada, A.V.  Ivanenko, S.K.  Turitsyn, “Generation of 1.7-microJ pulses at 1.55 micrometer by a self-modelocked all-fiber laser with a kilometers-long linear-ring cavity,” Laser Phys. Lett.1–5 (2010).

B.G.  Bale, S.  Boscolo, J.N.  Kutz, S.K.  Turitsyn, “Intracavity dynamics in high-power mode-locked fiber lasers,” Phys. Rev. A 81, 033828 (2010).
[CrossRef]

S.K.  Turitsyn, “Theory of energy evolution in laser resonators with saturated gain and non-saturated loss,” Opt. Express 17, 11898 (2009).
[CrossRef] [PubMed]

S.  Kobtsev, S.  Kukarin, S.  Smirnov, S.K.  Turitsyn, A.  Latkin, “Generation of double-scale femto/pico-second optical lumps in mode-locked fiber lasers,” Opt. Express 17, 20707 (2009).
[CrossRef] [PubMed]

A.I.  Chernykh S.K.  Turitsyn, “Soliton and collapse regimes of pulse generation in passively mode-locking laser systems,” Opt. Lett. 20(4), 398 (1995).
[CrossRef] [PubMed]

B.G  Bale, O.G.  Okhotnikov, S.K.  Turitsyn, “Modeling and Technologies of Ultrafast Fiber Lasers” in Fiber Lasers, O. G.  Okhotnikov, ed. (Wiley-VCH Verlag GmbH Co., 2012).

Ülgüdür, C.

B.  Oktem, C.  Ülgüdür, F.  Ömer Ilday, “Soliton–similariton fibre laser,” Nat. Photonics 4, 307–311 (2010).
[CrossRef]

Wang, J.Z.

Wang, L.

Wang, Y.

Wise, F.W.

F.W.  Wise, A.  Chong, W.H.  Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photonics Rev. 2, 58–73 (2008).
[CrossRef]

Wong, J.H.

N.  Li, J.  Xue, C.  Ouyang, K.  Wu, J.H.  Wong, S.  Aditya, P.P.  Shum, “Cavity-length optimization for high energy pulse generation in a long cavity passively mode-locked all-fiber ring laser,” Appl. Optics 51, 3726–3730 (2012).
[CrossRef]

Wu, K.

N.  Li, J.  Xue, C.  Ouyang, K.  Wu, J.H.  Wong, S.  Aditya, P.P.  Shum, “Cavity-length optimization for high energy pulse generation in a long cavity passively mode-locked all-fiber ring laser,” Appl. Optics 51, 3726–3730 (2012).
[CrossRef]

Xue, J.

N.  Li, J.  Xue, C.  Ouyang, K.  Wu, J.H.  Wong, S.  Aditya, P.P.  Shum, “Cavity-length optimization for high energy pulse generation in a long cavity passively mode-locked all-fiber ring laser,” Appl. Optics 51, 3726–3730 (2012).
[CrossRef]

Yamashita, S.

Yarutkina, I.A.

Ye, C.C.

Zhang, L.

B.N.  Nyushkov, A.V.  Ivanenko, S.M.  Kobtsev, S.K.  Turitsyn, C.  Mou, L.  Zhang, V.I.  Denisov, V.S.  Pivtsov, “Gamma-shaped long-cavity normal-dispersion mode-locked Er-fiber laser for sub-nanosecond high-energy pulsed generation,” Laser Phys. Lett. 9(1), 56–67 (2012).
[CrossRef]

Zhang, M.

L.  Chen, M.  Zhang, C.  Zhou, Y.  Cai, L.  Ren, Z.  Zhang, “Ultra-low repetition rate linear-cavity erbium-doped fibre laser modelocked with semiconductor saturable absorber mirror,” Electron. Lett. 45, 731 (2009).
[CrossRef]

Zhang, Z.

L.  Chen, M.  Zhang, C.  Zhou, Y.  Cai, L.  Ren, Z.  Zhang, “Ultra-low repetition rate linear-cavity erbium-doped fibre laser modelocked with semiconductor saturable absorber mirror,” Electron. Lett. 45, 731 (2009).
[CrossRef]

Zhao, B.

Zhao, L.

Zhao, W.

Zhou, C.

L.  Chen, M.  Zhang, C.  Zhou, Y.  Cai, L.  Ren, Z.  Zhang, “Ultra-low repetition rate linear-cavity erbium-doped fibre laser modelocked with semiconductor saturable absorber mirror,” Electron. Lett. 45, 731 (2009).
[CrossRef]

Appl. Optics (1)

N.  Li, J.  Xue, C.  Ouyang, K.  Wu, J.H.  Wong, S.  Aditya, P.P.  Shum, “Cavity-length optimization for high energy pulse generation in a long cavity passively mode-locked all-fiber ring laser,” Appl. Optics 51, 3726–3730 (2012).
[CrossRef]

Appl. Phys. B (2)

A.  Boucon, B.  Barviau, J.  Fatome, C.  Finot, T.  Sylvestre, M. W.  Lee, P.  Grelu, G.  Millot, “Noise-like pulses generated at high harmonics in a partially-mode-locked km-long Raman fiber laser,” Appl. Phys. B, 7, 1–5 (2012).

V.L.  Kalashnikov, E.  Podivilov, A.  Chernykh, A.  Apolonski, “Chirped-pulse oscillators: theory and experiment,” Appl. Phys. B 83(4), 503–510 (2006).
[CrossRef]

CLEO/Europe (1)

S.  Kobtsev, S.  Kukarin, S.  Smirnov, A.I.  Latkin, S.  Turitsyn, CLEO/Europe, CJ84, 2009.

ECOC 2010 (1)

A.  Ivanenko, S.  Turitsyn, S.  Kobsev, M.  Dubov, “Mode-Locking in 25-km Fibre Laser,” ECOC 2010, 19–23, 2010.

Electron. Lett. (1)

L.  Chen, M.  Zhang, C.  Zhou, Y.  Cai, L.  Ren, Z.  Zhang, “Ultra-low repetition rate linear-cavity erbium-doped fibre laser modelocked with semiconductor saturable absorber mirror,” Electron. Lett. 45, 731 (2009).
[CrossRef]

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

Laser Photonics Rev. (1)

F.W.  Wise, A.  Chong, W.H.  Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photonics Rev. 2, 58–73 (2008).
[CrossRef]

Laser Phys. (1)

S.M.  Kobtsev S.V.  Smirnov, “Fiber Lasers Mode-Locked Due to Nonlinear Polarization Evolution: Golden Mean of Cavity Length,” Laser Phys. 21(2), 272–276 (2011).
[CrossRef]

Laser Phys. Lett. (2)

B.N.  Nyushkov, V.I.  Denisov, S.M.  Kobtsev, V.S.  Pivtsov, N.A.  Kolyada, A.V.  Ivanenko, S.K.  Turitsyn, “Generation of 1.7-microJ pulses at 1.55 micrometer by a self-modelocked all-fiber laser with a kilometers-long linear-ring cavity,” Laser Phys. Lett.1–5 (2010).

B.N.  Nyushkov, A.V.  Ivanenko, S.M.  Kobtsev, S.K.  Turitsyn, C.  Mou, L.  Zhang, V.I.  Denisov, V.S.  Pivtsov, “Gamma-shaped long-cavity normal-dispersion mode-locked Er-fiber laser for sub-nanosecond high-energy pulsed generation,” Laser Phys. Lett. 9(1), 56–67 (2012).
[CrossRef]

Nat. Photonics (2)

P.  Grelu N.  Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics 6(2), 84–92 (2012).
[CrossRef]

B.  Oktem, C.  Ülgüdür, F.  Ömer Ilday, “Soliton–similariton fibre laser,” Nat. Photonics 4, 307–311 (2010).
[CrossRef]

Opt. Express (9)

D.  Tang, L.  Zhao, B.  Zhao, “Soliton collapse and bunched noise-like pulse generation in a passively mode-locked fiber ring laser,” Opt. Express 13, 2289–2294 (2005).
[CrossRef] [PubMed]

T.  Schreiber, B.  Ortaç, J.  Limpert, A.  Tünnermann, “On the study of pulse evolution in ultra-short pulse mode-locked fiber lasers by numerical simulations,” Opt. Express 15, 8252–8262 (2007).
[CrossRef] [PubMed]

S.  Kobtsev, S.  Kukarin, Y.  Fedotov, “Ultra-low repetition rate mode-locked fiber laser with high-energy pulses,” Opt. Express 16, 21936–21941 (2008).
[CrossRef] [PubMed]

S.K.  Turitsyn, “Theory of energy evolution in laser resonators with saturated gain and non-saturated loss,” Opt. Express 17, 11898 (2009).
[CrossRef] [PubMed]

S.  Kobtsev, S.  Kukarin, S.  Smirnov, S.K.  Turitsyn, A.  Latkin, “Generation of double-scale femto/pico-second optical lumps in mode-locked fiber lasers,” Opt. Express 17, 20707 (2009).
[CrossRef] [PubMed]

A.  Martinez S.  Yamashita, “Multi-gigahertz repetition rate passively modelocked fiber lasers using carbon nanotubes,” Opt. Express 19, 6155–6163 (2011)
[CrossRef] [PubMed]

Y.  Senoo, N.  Nishizawa, Y.  Sakakibara, K.  Sumimura, E.  Itoga, H.  Kataura, K.  Itoh, “Ultralow-repetition-rate, high-energy, polarization-maintaining, Er-doped, ultrashort-pulse fiber laser using single-wall-carbon-nanotube saturable absorber,” Opt. Express 18, 20673–20680 (2010).
[CrossRef] [PubMed]

Z.Q.  Luo, C.C.  Ye, H.Y.  Fu, H.H.  Cheng, J.Z.  Wang, Z.P.  Cai, “Raman fiber laser harmonically mode-locked by exploiting the intermodal beating of CW multimode pump source,” Opt. Express 20, 19905–19911 (2012).
[CrossRef] [PubMed]

S.  Smirnov, S.  Kobtsev, S.  Kukarin, A.  Ivanenko, “Three key regimes of single pulse generation per round trip of all-normal-dispersion fiber lasers mode-locked with nonlinear polarization rotation,” Opt. Express 20, 27447–27453 (2012).
[CrossRef] [PubMed]

Opt. Express bf (1)

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 bf 17(25), 22401–22416 (2009).
[CrossRef]

Opt. Lett. (3)

Phys. Rep. (1)

S.K.  Turitsyn, B.  Bale, M.P.  Fedoruk, “Dispersion-managed solitons in fibre systems and lasers,” Phys. Rep., 521(4), 135–203 (2012).
[CrossRef]

Phys. Rev. A (1)

B.G.  Bale, S.  Boscolo, J.N.  Kutz, S.K.  Turitsyn, “Intracavity dynamics in high-power mode-locked fiber lasers,” Phys. Rev. A 81, 033828 (2010).
[CrossRef]

Proc. of SPIE (1)

S.  Kobtsev, S.  Kukarin, S.  Smirnov, S.  Turitsyn, A.  Latkin, “Different generation regimes of mode-locked all-positive-dispersion all-fiber Yb laser,” Proc. of SPIE, 7580, 758028–2, (2010).
[CrossRef]

Quantum Electron. (1)

V.I.  Denisov, B.N.  Nyushkov, V.S.  Pivtsov, “Self-mode-locked all-fibre erbium laser with a low repetition rate and high pulse energy,” Quantum Electron. 40, 25–27 (2010).
[CrossRef]

Other (2)

A. E.  Siegman, Lasers, (University Science Books, 1986).

B.G  Bale, O.G.  Okhotnikov, S.K.  Turitsyn, “Modeling and Technologies of Ultrafast Fiber Lasers” in Fiber Lasers, O. G.  Okhotnikov, ed. (Wiley-VCH Verlag GmbH Co., 2012).

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Figures (8)

Fig. 1
Fig. 1

The scheme of laser setup

Fig. 2
Fig. 2

Resulting pulses in case of: a) Gaussian initial field distribution; b) White noise initial distribution. Here L = 2 km, average power of the initial pulse – 0.7 mW. c) Attractors for different initial distributions: the blue line shows the evolution of the Gaussian initial field distribution and the green line – of the white noise to the attractors marked with the circles.

Fig. 3
Fig. 3

The dependence of the approximate number of cavity round trips, necessary to obtain the energy steady state, on the cavity length. Dashed line shows the exponential dependence of round trips number for cavities longer than 20 m.

Fig. 4
Fig. 4

Black line – pulses generated from the white noise as the initial distribution, red line – the Gaussian pulse fit with RMS characteristics in case of: a) 32 m cavity length; b) 2002 m cavity length. Insets show the corresponding averaged spectra of pulses generated from the noise.

Fig. 5
Fig. 5

The intra-cavity dynamics of energy and RMS characteristics of pulse obtained from the initial white noise for different cavity lengths. Here OC is output coupler, AF – active fiber and SA – saturable absorber.

Fig. 6
Fig. 6

The intra-cavity spectrum and temporal pulse shape evolution in: a) 32 m cavity; b) 2002 m cavity.

Fig. 7
Fig. 7

Output energy dynamics with the cavity length extension for the white noise as an initial distribution. Dashed line is a fit of the following expression: E = a L g 0 L A F ( R in + α L P F ) R in + α L P F .

Fig. 8
Fig. 8

Dynamics of RMS characteristics with a cavity length extension for white noise as an initial distribution.

Tables (1)

Tables Icon

Table 1 Values of fiber laser parameters

Equations (6)

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

A z = i β 2 2 2 A t 2 + β 3 6 3 A t 3 + i γ | A | 2 A + g ^ A α A .
g ( ω ) = 1 1 + E E sat G × g 0 1 + ( ω ω 0 Ω g ) 2 .
A z = i β 2 2 2 A t 2 + β 3 6 3 A t 3 + i γ | A | 2 A α A .
q ( t ) = q 0 1 + | A in ( t ) | 2 P sat .
P R M S = | A | 4 d t E ; T R M S 2 = t 2 | A | 2 d t E ,
E = a L g 0 L A F ( R in + α L P F ) R in + α L P F ,

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