Abstract

Generation of dissipative soliton resonance (DSR) is numerically investigated in an all-normal-dispersion Yb-doped fiber laser mode-locked by a real saturable absorber (SA). In the simulation model, the SA includes both the saturable absorption and reverse saturable absorption (RSA) effects. It is found that the RSA effect induced by the SA material itself plays a dominant role in generating the DSR pulses. We also systematically analyze the influence of key SA parameters on the evolution of DSR pulses in the cavity. Our simulation results not only offer insight into the underlying mechanism of DSR generation in mode-locked fiber lasers by means of real SAs, but also provide a guideline for engineering SA parameters to generate optical pulses with the highest possible energy.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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2017 (3)

2016 (3)

2015 (4)

2014 (4)

2013 (3)

2012 (3)

2011 (1)

2009 (4)

2008 (5)

B. G. Bale, J. N. Kutz, A. Chong, W. H. Renninger, and F. W. Wise, “Spectral filtering for high-energy mode-locking in normal dispersion fiber lasers,” J. Opt. Soc. Am. B 25(10), 1763–1770 (2008).
[Crossref]

F. W. Wise, A. Chong, and W. H. Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photonics Rev. 2(1–2), 58–73 (2008).
[Crossref]

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77(2), 023814 (2008).
[Crossref]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A 78(2), 023830 (2008).
[Crossref]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances in laser models with parameter management,” J. Opt. Soc. Am. B 25(12), 1972–1977 (2008).
[Crossref]

2007 (4)

2006 (1)

2005 (1)

2004 (1)

M. Haiml, R. Grange, and U. Keller, “Optical characterization of semiconductor saturable absorbers,” Appl. Phys. B 79(3), 331–339 (2004).
[Crossref]

1997 (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(2), 277–294 (1997).
[Crossref]

Abramski, K.

K. Krzempek and K. Abramski, “6.5 μJ pulses from a compact dissipative soliton resonance mode-locked erbium-ytterbium double clad laser,” Laser Phys. Lett. 14(1), 015101 (2017).
[Crossref]

Akhmediev, N.

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

W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev, “Dissipative soliton resonances in the anomalous dispersion regime,” Phys. Rev. A 79(3), 033840 (2009).
[Crossref]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A 78(2), 023830 (2008).
[Crossref]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances in laser models with parameter management,” J. Opt. Soc. Am. B 25(12), 1972–1977 (2008).
[Crossref]

Amrani, F.

A. Komarov, F. Amrani, A. Dmitriev, K. Komarov, and F. Sanche, “Competition and coexistence of ultrashort pulses in passive mode-locked lasers under dissipative-soliton-resonance conditions,” Phys. Rev. A 87(2), 023838 (2013).
[Crossref]

Ankiewicz, A.

W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev, “Dissipative soliton resonances in the anomalous dispersion regime,” Phys. Rev. A 79(3), 033840 (2009).
[Crossref]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A 78(2), 023830 (2008).
[Crossref]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances in laser models with parameter management,” J. Opt. Soc. Am. B 25(12), 1972–1977 (2008).
[Crossref]

Bahloul, F.

Bale, B. G.

Braham, F. B.

Cai, Z. R.

Cao, W. J.

Carruthers, T. F.

Chang, W.

W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev, “Dissipative soliton resonances in the anomalous dispersion regime,” Phys. Rev. A 79(3), 033840 (2009).
[Crossref]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A 78(2), 023830 (2008).
[Crossref]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances in laser models with parameter management,” J. Opt. Soc. Am. B 25(12), 1972–1977 (2008).
[Crossref]

Chédot, C.

Chen, Y.

Q. Ouyang, H. Yu, K. Zhang, and Y. Chen, “Saturable absorption and the changeover from saturable absorption to reverse saturable absorption of MoS2 nanoflake array films,” J. Mater. Chem. C Mater. Opt. Electron. Devices 2(31), 6319–6325 (2014).
[Crossref]

Cheng, T. H.

Cheng, X.

Cheng, Z.

Chong, A.

B. G. Bale, J. N. Kutz, A. Chong, W. H. Renninger, and F. W. Wise, “Spectral filtering for high-energy mode-locking in normal dispersion fiber lasers,” J. Opt. Soc. Am. B 25(10), 1763–1770 (2008).
[Crossref]

F. W. Wise, A. Chong, and W. H. Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photonics Rev. 2(1–2), 58–73 (2008).
[Crossref]

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77(2), 023814 (2008).
[Crossref]

A. Chong, W. H. Renninger, and F. W. Wise, “All-normal-dispersion femtosecond fiber laser with pulse energy above 20 nJ,” Opt. Lett. 32(16), 2408–2410 (2007).
[Crossref] [PubMed]

Coddington, I.

Deng, G.

Ding, E.

Dmitriev, A.

A. Komarov, F. Amrani, A. Dmitriev, K. Komarov, and F. Sanche, “Competition and coexistence of ultrashort pulses in passive mode-locked lasers under dissipative-soliton-resonance conditions,” Phys. Rev. A 87(2), 023838 (2013).
[Crossref]

Docherty, A.

Droste, S.

Du, W.

Duan, L.

Fourmont, J.

Fu, X. Q.

Grange, R.

M. Haiml, R. Grange, and U. Keller, “Optical characterization of semiconductor saturable absorbers,” Appl. Phys. B 79(3), 331–339 (2004).
[Crossref]

Grelu, P.

Haiml, M.

M. Haiml, R. Grange, and U. Keller, “Optical characterization of semiconductor saturable absorbers,” Appl. Phys. B 79(3), 331–339 (2004).
[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(2), 277–294 (1997).
[Crossref]

Hideur, A.

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(2), 277–294 (1997).
[Crossref]

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(2), 277–294 (1997).
[Crossref]

Keller, U.

M. Haiml, R. Grange, and U. Keller, “Optical characterization of semiconductor saturable absorbers,” Appl. Phys. B 79(3), 331–339 (2004).
[Crossref]

Komarov, A.

A. Komarov, F. Amrani, A. Dmitriev, K. Komarov, and F. Sanche, “Competition and coexistence of ultrashort pulses in passive mode-locked lasers under dissipative-soliton-resonance conditions,” Phys. Rev. A 87(2), 023838 (2013).
[Crossref]

Komarov, K.

A. Komarov, F. Amrani, A. Dmitriev, K. Komarov, and F. Sanche, “Competition and coexistence of ultrashort pulses in passive mode-locked lasers under dissipative-soliton-resonance conditions,” Phys. Rev. A 87(2), 023838 (2013).
[Crossref]

Krzempek, K.

K. Krzempek and K. Abramski, “6.5 μJ pulses from a compact dissipative soliton resonance mode-locked erbium-ytterbium double clad laser,” Laser Phys. Lett. 14(1), 015101 (2017).
[Crossref]

Kutz, J. N.

Lan, C.

Lecaplain, C.

Li, C.

Li, D.

Li, H.

Li, J.

Li, X.

Liao, J. H.

Limpert, J.

Lin, A.

Lin, Z. B.

Liu, C.

Liu, H.

Liu, L.

Liu, M.

Liu, X.

Liu, Y.

Lu, C.

Lu, K.

Luo, A. P.

Luo, Z. C.

Mao, D.

Marks, B. S.

Menyuk, C. R.

Nelson, L. E.

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65(2), 277–294 (1997).
[Crossref]

Newbury, N. R.

Ning, Q. Y.

Ortaç, B.

Ouyang, D.

Ouyang, Q.

Q. Ouyang, H. Yu, K. Zhang, and Y. Chen, “Saturable absorption and the changeover from saturable absorption to reverse saturable absorption of MoS2 nanoflake array films,” J. Mater. Chem. C Mater. Opt. Electron. Devices 2(31), 6319–6325 (2014).
[Crossref]

Ren, J.

Ren, X.

Renninger, W. H.

F. W. Wise, A. Chong, and W. H. Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photonics Rev. 2(1–2), 58–73 (2008).
[Crossref]

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77(2), 023814 (2008).
[Crossref]

B. G. Bale, J. N. Kutz, A. Chong, W. H. Renninger, and F. W. Wise, “Spectral filtering for high-energy mode-locking in normal dispersion fiber lasers,” J. Opt. Soc. Am. B 25(10), 1763–1770 (2008).
[Crossref]

A. Chong, W. H. Renninger, and F. W. Wise, “All-normal-dispersion femtosecond fiber laser with pulse energy above 20 nJ,” Opt. Lett. 32(16), 2408–2410 (2007).
[Crossref] [PubMed]

Ruan, S.

Salhi, M.

Sanche, F.

A. Komarov, F. Amrani, A. Dmitriev, K. Komarov, and F. Sanche, “Competition and coexistence of ultrashort pulses in passive mode-locked lasers under dissipative-soliton-resonance conditions,” Phys. Rev. A 87(2), 023838 (2013).
[Crossref]

Sanchez, F.

Semaan, G.

Shen, D.

Shi, H.

Sinclair, L. C.

Soto-Crespo, J. M.

W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev, “Dissipative soliton resonances in the anomalous dispersion regime,” Phys. Rev. A 79(3), 033840 (2009).
[Crossref]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A 78(2), 023830 (2008).
[Crossref]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances in laser models with parameter management,” J. Opt. Soc. Am. B 25(12), 1972–1977 (2008).
[Crossref]

Sun, H.

Sun, Z.

Tam, H. Y.

Tamura, K.

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65(2), 277–294 (1997).
[Crossref]

Tang, D.

Tang, D. Y.

Wang, G.

Wang, L.

Wang, P.

Wang, Q. J.

Wang, S.

Wang, Y.

Wen, S. C.

Wise, F. W.

B. G. Bale, J. N. Kutz, A. Chong, W. H. Renninger, and F. W. Wise, “Spectral filtering for high-energy mode-locking in normal dispersion fiber lasers,” J. Opt. Soc. Am. B 25(10), 1763–1770 (2008).
[Crossref]

F. W. Wise, A. Chong, and W. H. Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photonics Rev. 2(1–2), 58–73 (2008).
[Crossref]

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77(2), 023814 (2008).
[Crossref]

A. Chong, W. H. Renninger, and F. W. Wise, “All-normal-dispersion femtosecond fiber laser with pulse energy above 20 nJ,” Opt. Lett. 32(16), 2408–2410 (2007).
[Crossref] [PubMed]

Wu, J.

Wu, X.

Xia, H.

Xie, W.

Xu, S. H.

Xu, W. C.

Yang, Q. H.

Yang, Z. M.

Yu, H.

Q. Ouyang, H. Yu, K. Zhang, and Y. Chen, “Saturable absorption and the changeover from saturable absorption to reverse saturable absorption of MoS2 nanoflake array films,” J. Mater. Chem. C Mater. Opt. Electron. Devices 2(31), 6319–6325 (2014).
[Crossref]

Yu, W.

Yu, X.

Zhang, H.

Zhang, K.

Q. Ouyang, H. Yu, K. Zhang, and Y. Chen, “Saturable absorption and the changeover from saturable absorption to reverse saturable absorption of MoS2 nanoflake array films,” J. Mater. Chem. C Mater. Opt. Electron. Devices 2(31), 6319–6325 (2014).
[Crossref]

Zhang, S.

Zhang, X.

Zhang, Y.

Zhao, B.

Zhao, J.

Zhao, L.

Zhao, L. M.

Zhao, N.

Zhao, W.

Zheng, X. W.

Zheng, Z.

Appl. Opt. (2)

Appl. Phys. B (2)

M. Haiml, R. Grange, and U. Keller, “Optical characterization of semiconductor saturable absorbers,” Appl. Phys. B 79(3), 331–339 (2004).
[Crossref]

L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B 65(2), 277–294 (1997).
[Crossref]

J. Lightwave Technol. (1)

J. Mater. Chem. C Mater. Opt. Electron. Devices (1)

Q. Ouyang, H. Yu, K. Zhang, and Y. Chen, “Saturable absorption and the changeover from saturable absorption to reverse saturable absorption of MoS2 nanoflake array films,” J. Mater. Chem. C Mater. Opt. Electron. Devices 2(31), 6319–6325 (2014).
[Crossref]

J. Opt. Soc. Am. B (3)

Laser Photonics Rev. (1)

F. W. Wise, A. Chong, and W. H. Renninger, “High-energy femtosecond fiber lasers based on pulse propagation at normal dispersion,” Laser Photonics Rev. 2(1–2), 58–73 (2008).
[Crossref]

Laser Phys. Lett. (1)

K. Krzempek and K. Abramski, “6.5 μJ pulses from a compact dissipative soliton resonance mode-locked erbium-ytterbium double clad laser,” Laser Phys. Lett. 14(1), 015101 (2017).
[Crossref]

Nat. Photonics (1)

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

Opt. Express (14)

X. Liu, “Dissipative soliton evolution in ultra-large normal-cavity-dispersion fiber lasers,” Opt. Express 17(12), 9549–9557 (2009).
[Crossref] [PubMed]

X. Liu, L. Wang, X. Li, H. Sun, A. Lin, K. Lu, Y. Wang, and W. Zhao, “Multistability evolution and hysteresis phenomena of dissipative solitons in a passively mode-locked fiber laser with large normal cavity dispersion,” Opt. Express 17(10), 8506–8512 (2009).
[Crossref] [PubMed]

S. Wang, B. S. Marks, and C. R. Menyuk, “Comparison of models of fast saturable absorption in passively modelocked lasers,” Opt. Express 24(18), 20228–20244 (2016).
[Crossref] [PubMed]

X. Wu, D. Y. Tang, H. Zhang, and L. M. Zhao, “Dissipative soliton resonance in an all-normal-dispersion erbium-doped fiber laser,” Opt. Express 17(7), 5580–5584 (2009).
[Crossref] [PubMed]

L. Duan, X. Liu, D. Mao, L. Wang, and G. Wang, “Experimental observation of dissipative soliton resonance in an anomalous-dispersion fiber laser,” Opt. Express 20(1), 265–270 (2012).
[Crossref] [PubMed]

L. Liu, J. H. Liao, Q. Y. Ning, W. Yu, A. P. Luo, S. H. Xu, Z. C. Luo, Z. M. Yang, and W. C. Xu, “Wave-breaking-free pulse in an all-fiber normal-dispersion Yb-doped fiber laser under dissipative soliton resonance condition,” Opt. Express 21(22), 27087–27092 (2013).
[Crossref] [PubMed]

J. Zhao, D. Ouyang, Z. Zheng, M. Liu, X. Ren, C. Li, S. Ruan, and W. Xie, “100 W dissipative soliton resonances from a thulium-doped double-clad all-fiber-format MOPA system,” Opt. Express 24(11), 12072–12081 (2016).
[Crossref] [PubMed]

D. Tang, L. Zhao, and B. Zhao, “Soliton collapse and bunched noise-like pulse generation in a passively mode-locked fiber ring laser,” Opt. Express 13(7), 2289–2294 (2005).
[Crossref] [PubMed]

X. Li, Y. Wang, Y. Wang, W. Zhao, X. Yu, Z. Sun, X. Cheng, X. Yu, Y. Zhang, and Q. J. Wang, “Nonlinear absorption of SWNT film and its effects to the operation state of pulsed fiber laser,” Opt. Express 22(14), 17227–17235 (2014).
[Crossref] [PubMed]

H. Xia, H. Li, C. Lan, C. Li, X. Zhang, S. Zhang, and Y. Liu, “Ultrafast erbium-doped fiber laser mode-locked by a CVD-grown molybdenum disulfide (MoS2) saturable absorber,” Opt. Express 22(14), 17341–17348 (2014).
[Crossref] [PubMed]

N. Zhao, M. Liu, H. Liu, X. W. Zheng, Q. Y. Ning, A. P. Luo, Z. C. Luo, and W. C. Xu, “Dual-wavelength rectangular pulse Yb-doped fiber laser using a microfiber-based graphene saturable absorber,” Opt. Express 22(9), 10906–10913 (2014).
[Crossref] [PubMed]

Z. Cheng, H. Li, H. Shi, J. Ren, Q. H. Yang, and P. Wang, “Dissipative soliton resonance and reverse saturable absorption in graphene oxide mode-locked all-normal-dispersion Yb-doped fiber laser,” Opt. Express 23(6), 7000–7006 (2015).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, J. Wu, X. Q. Fu, and S. C. Wen, “Noise-like pulse in a gain-guided soliton fiber laser,” Opt. Express 15(5), 2145–2150 (2007).
[Crossref] [PubMed]

Z. Cheng, H. Li, and P. Wang, “Simulation of generation of dissipative soliton, dissipative soliton resonance and noise-like pulse in Yb-doped mode-locked fiber lasers,” Opt. Express 23(5), 5972–5981 (2015).
[Crossref] [PubMed]

Opt. Lett. (8)

Z. C. Luo, W. J. Cao, Z. B. Lin, Z. R. Cai, A. P. Luo, and W. C. Xu, “Pulse dynamics of dissipative soliton resonance with large duration-tuning range in a fiber ring laser,” Opt. Lett. 37(22), 4777–4779 (2012).
[Crossref] [PubMed]

G. Semaan, F. B. Braham, J. Fourmont, M. Salhi, F. Bahloul, and F. Sanchez, “10 μJ dissipative soliton resonance square pulse in a dual amplifier figure-of-eight double-clad Er:Yb mode-locked fiber laser,” Opt. Lett. 41(20), 4767–4770 (2016).
[Crossref] [PubMed]

E. Ding, P. Grelu, and J. N. Kutz, “Dissipative soliton resonance in a passively mode-locked fiber laser,” Opt. Lett. 36(7), 1146–1148 (2011).
[Crossref] [PubMed]

S. Wang, S. Droste, L. C. Sinclair, I. Coddington, N. R. Newbury, T. F. Carruthers, and C. R. Menyuk, “Wake mode sidebands and instability in mode-locked lasers with slow saturable absorbers,” Opt. Lett. 42(12), 2362–2365 (2017).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, T. H. Cheng, H. Y. Tam, and C. Lu, “Generation of multiple gain-guided solitons in a fiber laser,” Opt. Lett. 32(11), 1581–1583 (2007).
[Crossref] [PubMed]

C. Lecaplain, C. Chédot, A. Hideur, B. Ortaç, and J. Limpert, “High-power all-normal-dispersion femtosecond pulse generation from a Yb-doped large-mode-area microstructure fiber laser,” Opt. Lett. 32(18), 2738–2740 (2007).
[Crossref] [PubMed]

A. Chong, W. H. Renninger, and F. W. Wise, “All-normal-dispersion femtosecond fiber laser with pulse energy above 20 nJ,” Opt. Lett. 32(16), 2408–2410 (2007).
[Crossref] [PubMed]

L. M. Zhao, D. Y. Tang, and J. Wu, “Gain-guided soliton in a positive group-dispersion fiber laser,” Opt. Lett. 31(12), 1788–1790 (2006).
[Crossref] [PubMed]

Phys. Rev. A (4)

W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A 77(2), 023814 (2008).
[Crossref]

W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev, “Dissipative soliton resonances in the anomalous dispersion regime,” Phys. Rev. A 79(3), 033840 (2009).
[Crossref]

W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A 78(2), 023830 (2008).
[Crossref]

A. Komarov, F. Amrani, A. Dmitriev, K. Komarov, and F. Sanche, “Competition and coexistence of ultrashort pulses in passive mode-locked lasers under dissipative-soliton-resonance conditions,” Phys. Rev. A 87(2), 023838 (2013).
[Crossref]

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Figures (9)

Fig. 1
Fig. 1 Schematic of an all-normal-dispersion Yb-doped fiber laser.
Fig. 2
Fig. 2 Different transmission curves of SAs. (blue solid curve for β = 0 kW−1 and red dashed curve for β = 3 kW−1).
Fig. 3
Fig. 3 Simulation results in the absence of RSA effect in the SA. (a) Pulse temporal profiles with the increasing Esat. (b) Pulse spectral profiles with the increasing Esat. (c) NLP profile with a pump Esat of 6 nJ. (d) Autocorrelation trace with a pump Esat of 6 nJ.
Fig. 4
Fig. 4 DSR-pulse generation. (a) Pulse temporal profiles with the increasing Esat. (b) Pulse spectral profiles with the increasing Esat. (c) The pulse energy and pulse duration versus Esat. (d) The pulse peak power versus Esat.
Fig. 5
Fig. 5 Intra-cavity DSR-pulse evolution. (a) Variations of the pulse duration and spectrum width along the cavity. (b) Three-dimension evolution.
Fig. 6
Fig. 6 The pulse duration and peak power versus α0.
Fig. 7
Fig. 7 The pulse duration and peak power versus Isat.
Fig. 8
Fig. 8 Mixture state of DSR and NLP. (a) The pulse temporal profile. (b) The AC trace.
Fig. 9
Fig. 9 (a) The pulse temporal profiles versus β. (b) The pulse peak power versus β.

Equations (4)

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u z = i β 2 2 2 u 2 t +iγ | u | 2 u+ g 2 u+ g 2 Ω g 2 2 u 2 t ,
g= g 0 1+ E p / E sat ,
E p = T R /2 T R /2 | u(z,t) | 2 dt,
T(I)=1 α 0 1+I/ I sat α ns βI,

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