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Optics Express

Optics Express

  • Editor: Andrew M. Weiner
  • Vol. 21, Iss. 22 — Nov. 4, 2013
  • pp: 27087–27092
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Wave-breaking-free pulse in an all-fiber normal-dispersion Yb-doped fiber laser under dissipative soliton resonance condition

Lan Liu, Jun-Hong Liao, Qiu-Yi Ning, Wei Yu, Ai-Ping Luo, Shan-Hui Xu, Zhi-Chao Luo, Zhong-Min Yang, and Wen-Cheng Xu  »View Author Affiliations


Optics Express, Vol. 21, Issue 22, pp. 27087-27092 (2013)
http://dx.doi.org/10.1364/OE.21.027087


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Abstract

We reported on the dissipative soliton resonance (DSR) phenomenon in a mode-locked Yb-doped fiber laser by using the nonlinear polarization rotation technique. It was found that the multi-pulse oscillation under high pump power could be circumvented by properly adjusting the polarization controllers, namely, the wave-breaking-free rectangular pulse in DSR region was achieved. As the DSR signature, the pulse duration varied from 8.8 ps to 22.92 ns with the increasing pump power. Correspondingly, the maximum pulse energy was 3.24 nJ. The results demonstrated that the DSR phenomenon could exist in Yb-doped fiber lasers, which could be used to achieve wave-breaking-free, ultrahigh-energy pulse.

© 2013 Optical Society of America

1. Introduction

To overcome the nonlinear effect on the pulse breaking phenomenon, an efficient way is to develop new pulse formation mechanisms. Recently, a novel type of pulse formation called dissipative soliton resonance (DSR) was theoretically proposed to achieve wave-breaking-free pulse by properly selecting parameters in the frame of complex Ginzburg–Landau equation [14

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

19

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

]. It was shown that the pulse formed under the DSR condition could increase its energy and width indefinitely with the increasing pump power. Meanwhile, the pulse keeps rectangular shape with the constant amplitude. The experimental observations confirmed that the DSR phenomenon could indeed exist in fiber lasers [20

20. 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]

]. However, up to now, the DSR phenomenon was only observed in Er-doped fiber laser at 1.55 μm wavelength region [20

20. 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]

23

23. S. K. Wang, Q. Y. Ning, A. P. Luo, Z. B. Lin, Z. C. Luo, and W. C. Xu, “Dissipative soliton resonance in a passively mode-locked figure-eight fiber laser,” Opt. Express 21(2), 2402–2407 (2013). [CrossRef] [PubMed]

]. According to the theoretical prediction, the DSR phenomenon is independent of the laser gain medium and operation wavelength [14

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

,16

16. 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]

]. Considering the excellent pumping efficiency of Yb-doped fiber which is suitable for the generation of high-energy pulse, the achievement of DSR pulse in Yb-doped fiber lasers at 1.0 μm wavelength region would be of great significance to the field of laser physics.

In this work, we reported on the observation of DSR phenomenon in a passively mode-locked Yb-doped fiber laser using nonlinear polarization rotation (NPR) technique. It was experimentally found that the multi-pulse (or wave-breaking) operation could be suppressed by properly rotating the polarization controllers (PCs). After the suppression of the multi-pulse oscillation, the rectangular pulse duration broadened from 8.8 ps to 22.92 ns with the increasing pump power while keeping their amplitude constant, indicating that the mode-locked pulse in DSR region was obtained. At a maximum pump power of 400 mW, the pulse energy could be up to 3.24 nJ. The experimental results provide the first observation of DSR phenomenon in Yb-doped fiber laser, which would be the powerful evidence for the generation of the ultrahigh energy, wave-breaking-free pulse at 1.0 μm wavelength region.

2. Experimental setup

The schematic of the Yb-doped fiber laser system is shown in Fig. 1
Fig. 1 Schematic of the experimental setup. WDM, wavelength division multiplexer; YDF, Yb-doped fiber; PC, polarization controller; PD-ISO, polarization-dependent isolator.
. A piece of 4 m Yb-doped single mode fiber with an absorption coefficient of 31.5 dB/m at 975 nm wavelength is used as the gain medium, pumped by a 975 nm laser diode with the maximum pump power of 400 mW via a 980/1060 nm wavelength-division multiplexer (WDM). The other fibers in the laser cavity are 46 m HI-1060 fiber. Thus, the whole cavity length is about 50 m, corresponding to the cavity roundtrip time of 256 ns. Since the laser cavity is an all-normal-dispersion one, a fiber-pigtailed bandpass filter centered at 1060 nm with a bandwidth of 8 nm is inserted in the cavity to obtain stable mode-locking [24

24. 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]

]. The polarization-dependent isolator ensures the unidirectional operation and polarization selectivity. Two PCs were employed to adjust the polarization state of the circulating light. An optical coupler with 10% output serves as the output port. A 20:80 coupler is used for observing the laser spectrum and pulse train simultaneously. The laser spectrum is measured by an optical spectrum analyzer (Yokogawa AQ-6370C). The pulse train is detected by an oscilloscope (LeCroy WaveRunner 620Zi) with a high-speed photodetector (ET-3000AFC, EOT). The pulse duration is also monitored with a commercial autocorrelator (Femtochrome FR-103XL).

3. Experimental results and discussions

As we know, in the NPR-based fiber ring laser, the pulse dynamics is strongly affected by the PC settings and pump power level. Therefore, varying these cavity parameters allows us to observe various types of pulse formations. When we further adjusted the PCs, it was found that a notable pulse behavior was shown on the oscilloscope. The notable pulse features that the pulse duration broadens with the increasing pump power while the peak of the pulse almost keeps constant and the pulse profile is rectangular. In addition, no pulse splitting was observed with the high pump power level, suggesting that the multi-pulse oscillation was completely suppressed with the appropriate cavity parameters. It should be noted that the aforementioned characteristics are the typical signatures of DSR phenomenon. In the following, we will show the pulse characteristics under the DSR condition. Generally, the self-starting rectangular pulse in DSR region could be obtained at the pump power of 200 mW. However, the mode-locked rectangular pulse can be sustained when the pump power was decreased to 175 mW due to the pump hysteresis phenomenon in fiber lasers [25

25. A. Komarov, H. Leblond, and F. Sanchez, “Multistability and hysteresis phenomena in passively mode-locked fiber lasers,” Phys. Rev. A 71(5), 053809 (2005). [CrossRef]

27

27. X. M. Liu, “Hysteresis phenomena and multipulse formation of a dissipative system in a passively mode-locked fiber laser,” Phys. Rev. A 81(2), 023811 (2010). [CrossRef]

]. The typical spectrum of mode-locked pulse in DSR region was shown in Fig. 3
Fig. 3 Typical spectrum of the rectangular pulse operating in DSR region.
. As can be seen in Fig. 3, the central wavelength of the mode-locked spectrum is 1061.04 nm and the 3-dB bandwidth is 2.11 nm. Moreover, there is a spectral peak appeared on the top of mode-locked spectrum. The spectral peak was not so stable in the experimental observation, indicating that the spectral peak could be the continuous wave component on the mode-locked spectrum.

As mentioned above, the mode-locked pulse could be also observed at 175 mW pump power due to the pump hysteresis phenomenon. Figure 4(a)
Fig. 4 (a) Pulse train operating in DSR region at the pump power of 175 mW; inset: autocorrelation traces with the increasing pump powers. (b) Pulse train in DSR region at the pump power of 300 mW; inset: corresponding rectangular pulse.
presents the mode-locked pulse-train at 175 mW pump power. In this case, the pulse profile is Gaussian-like but not rectangular. Then an autocorrelator was employed to measure the pulse duration. As shown in the inset of Fig. 4(a) with green curve, the pulse duration is 8.8 ps if a Gaussian pulse profile is assumed. Therefore, the time-bandwidth product is 4.95, showing that the pulse is chirped. When the pump power was slightly increased, the pulse duration exhibits the broadening trend, as shown in the inset of Fig. 4(a) with blue curve. By further increasing pump power, the pulse evolved into rectangular shape and the pulse duration broadened obviously. Figure 4(b) shows the pulse-train at the pump power of 300 mW, where the rectangular pulse profile was clearly shown on the oscilloscope. Here, no pulse could be detected with the autocorrelator in this case due to the large pulse duration. The observed pulse profile evolution from Gaussian-like to rectangular is in agreement with the theoretical prediction [17

17. Ph. Grelu, W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonance as a guideline for high-energy pulse laser oscillators,” J. Opt. Soc. Am. B 27(11), 2336–2341 (2010). [CrossRef]

] and previously experimental demonstration [21

21. 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]

]. It should be noted that no fine structure of the autocorrelation trace or pulse bunching was observed with the increasing pump power, showing that the broadening pulse is single-pulse operation and the pulse operates in DSR region.

In order to investigate the pulse evolution in more detail, Fig. 5(a)
Fig. 5 (a) Dynamics of pulse broadening as the pump power is increased. (b) Experimentally measured pulse width and average output power versus the pump power.
shows the dynamic of pulse broadening as a function of the pump power. Obviously, it evolves from a Gaussian-like pulse into a rectangular one as the pump power is increased. Correspondingly, the duration of the mode-locked pulse broadens gradually with the pump power increasing from 175 mW to 400 mW, while the peak of the pulse remains constant at high pump power. It is worth noting that the 3-dB bandwidth of the mode-locked spectrum is almost constant at ~2 nm as the pump power varies despite of the increasing intensity. For the purpose of better studying the pulse characteristics, Fig. 5(b) further shows the experimentally measured pulse width and average output power versus the pump power level. As can be seen from Fig. 5(b), the pulse width increased monotonically to 22.92 ns when the pump power changes from 175 mW to 400 mW. Correspondingly, the highest laser output power is 12.65 mW under the pump power of 400 mW. Considering the cavity repetition rate of 3.9 MHz, the measured largest output pulse energy was 3.24 nJ, which was limited by the pump power level.

4. Conclusion

In summary, we have demonstrated the existence of DSR phenomenon in a passively mode-locked Yb-doped fiber laser with the NPR technique. By properly adjusting the PCs, the wave-breaking-free pulse operating in DSR region was obtained. Therefore, the multi-pulse oscillation under high pump power which generally occurs in passively mode-locked fiber laser could be effectively suppressed in this case. Under the DSR condition, the output pulse duration changed from 8.8 ps to 22.92 ns with the increasing pump power, corresponding to a maximum pulse energy of 3.24 nJ. The results demonstrated that the DSR phenomenon could be observed in Yb-doped fiber laser, which would be beneficial to achieve the ultrahigh energy, wave-breaking-free pulse at 1.0 μm wavelength region.

Acknowledgments

This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11074078, 61378036, 61307058, 11304101), the Specialized Research Fund for the Doctoral Program of Higher Education, China (Grant No. 20094407110002), the Key Program for Scientific and Technological Innovations of Higher Education Institutes in Guangdong Province, China (Grant No. cxzd1011), and the Natural Science Foundation of Guangdong Province, China (Grant No. S2013040016320).

References and links

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]

2.

D. Anderson, M. Desaix, M. Lisak, and M. L. Quiroga-Teixeiro, “Wave breaking in nonlinear-optical fibers,” J. Opt. Soc. Am. B 9(8), 1358–1361 (1992). [CrossRef]

3.

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]

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]

5.

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

6.

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(21), 213902 (2004). [CrossRef] [PubMed]

7.

B. Oktem, C. Ülgüdür, and F. Ö. Ilday, “Soliton–similariton fibre laser,” Nat. Photonics 4(5), 307–311 (2010). [CrossRef]

8.

J. M. Dudley, C. Finot, D. J. Richardson, and G. Millot, “Self-similarity in ultrafast nonlinear optics,” Nat. Phys. 3(9), 597–603 (2007). [CrossRef]

9.

B. Ortaç, A. Hideur, M. Brunel, C. Chédot, J. Limpert, A. Tünnermann, and F. Ö. Ilday, “Generation of parabolic bound pulses from a Yb-fiber laser,” Opt. Express 14(13), 6075–6083 (2006). [CrossRef] [PubMed]

10.

Y. Logvin and H. Anis, “Similariton pulse instability in mode-locked Yb-doped fiber laser in the vicinity of zero cavity dispersion,” Opt. Express 15(21), 13607–13612 (2007). [CrossRef] [PubMed]

11.

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]

12.

S. Lefrançois, K. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett. 35(10), 1569–1571 (2010). [CrossRef] [PubMed]

13.

C. Lecaplain, B. Ortaç, G. Machinet, J. Boullet, M. Baumgartl, T. Schreiber, E. Cormier, and A. Hideur, “High-energy femtosecond photonic crystal fiber laser,” Opt. Lett. 35(19), 3156–3158 (2010). [CrossRef] [PubMed]

14.

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

15.

N. Akhmediev, J. M. Soto-Crespo, and P. Grelu, “Roadmap to ultra-short record high-energy pulses out of laser oscillators,” Phys. Lett. A 372(17), 3124–3128 (2008). [CrossRef]

16.

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]

17.

Ph. Grelu, W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonance as a guideline for high-energy pulse laser oscillators,” J. Opt. Soc. Am. B 27(11), 2336–2341 (2010). [CrossRef]

18.

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

19.

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

20.

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]

21.

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]

22.

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

23.

S. K. Wang, Q. Y. Ning, A. P. Luo, Z. B. Lin, Z. C. Luo, and W. C. Xu, “Dissipative soliton resonance in a passively mode-locked figure-eight fiber laser,” Opt. Express 21(2), 2402–2407 (2013). [CrossRef] [PubMed]

24.

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]

25.

A. Komarov, H. Leblond, and F. Sanchez, “Multistability and hysteresis phenomena in passively mode-locked fiber lasers,” Phys. Rev. A 71(5), 053809 (2005). [CrossRef]

26.

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(4), 043816 (2005). [CrossRef]

27.

X. M. Liu, “Hysteresis phenomena and multipulse formation of a dissipative system in a passively mode-locked fiber laser,” Phys. Rev. A 81(2), 023811 (2010). [CrossRef]

OCIS Codes
(140.3510) Lasers and laser optics : Lasers, fiber
(140.4050) Lasers and laser optics : Mode-locked lasers
(250.5530) Optoelectronics : Pulse propagation and temporal solitons
(140.3615) Lasers and laser optics : Lasers, ytterbium

ToC Category:
Lasers and Laser Optics

History
Original Manuscript: July 26, 2013
Revised Manuscript: September 22, 2013
Manuscript Accepted: October 22, 2013
Published: October 31, 2013

Citation
Lan Liu, Jun-Hong Liao, Qiu-Yi Ning, Wei Yu, Ai-Ping Luo, Shan-Hui Xu, Zhi-Chao Luo, Zhong-Min Yang, and Wen-Cheng Xu, "Wave-breaking-free pulse in an all-fiber normal-dispersion Yb-doped fiber laser under dissipative soliton resonance condition," Opt. Express 21, 27087-27092 (2013)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-21-22-27087


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References

  1. L. E. Nelson, D. J. Jones, K. Tamura, H. A. Haus, and E. P. Ippen, “Ultrashort-pulse fiber ring lasers,” Appl. Phys. B65(2), 277–294 (1997). [CrossRef]
  2. D. Anderson, M. Desaix, M. Lisak, and M. L. Quiroga-Teixeiro, “Wave breaking in nonlinear-optical fibers,” J. Opt. Soc. Am. B9(8), 1358–1361 (1992). [CrossRef]
  3. 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]
  4. W. H. Renninger, A. Chong, and F. W. Wise, “Dissipative solitons in normal-dispersion fiber lasers,” Phys. Rev. A77(2), 023814 (2008). [CrossRef]
  5. Ph. Grelu and N. Akhmediev, “Dissipative solitons for mode-locked lasers,” Nat. Photonics6(2), 84–92 (2012). [CrossRef]
  6. 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(21), 213902 (2004). [CrossRef] [PubMed]
  7. B. Oktem, C. Ülgüdür, and F. Ö. Ilday, “Soliton–similariton fibre laser,” Nat. Photonics4(5), 307–311 (2010). [CrossRef]
  8. J. M. Dudley, C. Finot, D. J. Richardson, and G. Millot, “Self-similarity in ultrafast nonlinear optics,” Nat. Phys.3(9), 597–603 (2007). [CrossRef]
  9. B. Ortaç, A. Hideur, M. Brunel, C. Chédot, J. Limpert, A. Tünnermann, and F. Ö. Ilday, “Generation of parabolic bound pulses from a Yb-fiber laser,” Opt. Express14(13), 6075–6083 (2006). [CrossRef] [PubMed]
  10. Y. Logvin and H. Anis, “Similariton pulse instability in mode-locked Yb-doped fiber laser in the vicinity of zero cavity dispersion,” Opt. Express15(21), 13607–13612 (2007). [CrossRef] [PubMed]
  11. 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]
  12. S. Lefrançois, K. Kieu, Y. Deng, J. D. Kafka, and F. W. Wise, “Scaling of dissipative soliton fiber lasers to megawatt peak powers by use of large-area photonic crystal fiber,” Opt. Lett.35(10), 1569–1571 (2010). [CrossRef] [PubMed]
  13. C. Lecaplain, B. Ortaç, G. Machinet, J. Boullet, M. Baumgartl, T. Schreiber, E. Cormier, and A. Hideur, “High-energy femtosecond photonic crystal fiber laser,” Opt. Lett.35(19), 3156–3158 (2010). [CrossRef] [PubMed]
  14. W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonances,” Phys. Rev. A78(2), 023830 (2008). [CrossRef]
  15. N. Akhmediev, J. M. Soto-Crespo, and P. Grelu, “Roadmap to ultra-short record high-energy pulses out of laser oscillators,” Phys. Lett. A372(17), 3124–3128 (2008). [CrossRef]
  16. W. Chang, J. M. Soto-Crespo, A. Ankiewicz, and N. Akhmediev, “Dissipative soliton resonances in the anomalous dispersion regime,” Phys. Rev. A79(3), 033840 (2009). [CrossRef]
  17. Ph. Grelu, W. Chang, A. Ankiewicz, J. M. Soto-Crespo, and N. Akhmediev, “Dissipative soliton resonance as a guideline for high-energy pulse laser oscillators,” J. Opt. Soc. Am. B27(11), 2336–2341 (2010). [CrossRef]
  18. E. Ding, Ph. Grelu, and J. N. Kutz, “Dissipative soliton resonance in a passively mode-locked fiber laser,” Opt. Lett.36(7), 1146–1148 (2011). [CrossRef] [PubMed]
  19. A. Komarov, F. Amrani, A. Dmitriev, K. Komarov, and F. Sanchez, “Competition and coexistence of ultrashort pulses in passive mode-locked lasers under dissipative-soliton-resonance conditions,” Phys. Rev. A87(2), 023838 (2013). [CrossRef]
  20. X. Wu, D. Y. Tang, H. Zhang, and L. M. Zhao, “Dissipative soliton resonance in an all-normal-dispersion erbium-doped fiber laser,” Opt. Express17(7), 5580–5584 (2009). [CrossRef] [PubMed]
  21. 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]
  22. L. N. Duan, X. M. Liu, D. Mao, L. R. Wang, and G. X. Wang, “Experimental observation of dissipative soliton resonance in an anomalous-dispersion fiber laser,” Opt. Express20(1), 265–270 (2012). [CrossRef] [PubMed]
  23. S. K. Wang, Q. Y. Ning, A. P. Luo, Z. B. Lin, Z. C. Luo, and W. C. Xu, “Dissipative soliton resonance in a passively mode-locked figure-eight fiber laser,” Opt. Express21(2), 2402–2407 (2013). [CrossRef] [PubMed]
  24. 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. B25(10), 1763–1770 (2008). [CrossRef]
  25. A. Komarov, H. Leblond, and F. Sanchez, “Multistability and hysteresis phenomena in passively mode-locked fiber lasers,” Phys. Rev. A71(5), 053809 (2005). [CrossRef]
  26. 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. A72(4), 043816 (2005). [CrossRef]
  27. X. M. Liu, “Hysteresis phenomena and multipulse formation of a dissipative system in a passively mode-locked fiber laser,” Phys. Rev. A81(2), 023811 (2010). [CrossRef]

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