From chaos to stability in soliton mode-locked fibre laser system
Keywords:soliton mode-locked fibre laser, stability, chaos, breather solution
Intracavity energy rate in a soliton mode-locked fibre laser is derived by solving the Haus master equation. The influence of net gain, absorber response, saturation energy, nonlinearity and absorption are investigated on stable/unstable states. Intracavity modes include the zeroth, first and higher order solitons. Accordingly, chaotic regime as well as breather modes is recognized as a conventional intracavity state. However, tuning the control parameters also results in a reverse bifurcation and thus returning to a stable state. Accordingly, a chaos-based encryption/decryption system is proposed taking the advantage of using a single-side control process; both the encryption and decryption procedures can be achieved by one of the actions of increasing/decreasing the control parameters.
Y. Song, X. Shi, C. Wu, D. Tang and H. Zhang, Recent progress of study on optical solitons in fiber lasers, Appl. Phys. Rev. 6 (2019) 021313, https://doi.org/10.1063/1.5091811.
M. N. Zervas, and A. Christophe, Codemard, High power fiber lasers: a review, IEEE J. Sel. Top. Quantum Electron. 20 (2014) 219, https://doi.org/10.1109/JSTQE.2014.2321279.
T. Jiang et al., Ultrafast fiber lasers mode-locked by twodimensional materials: review and prospect, Photonics Res. 8 (2020) 78, https://doi.org/10.1364/PRJ.8.000078.
W. Shi, Q. Fang, X. Zhu, R.A. Norwood, N. Peyghambarian, Fiber lasers and their applications, Appl. Opt. 53 (2014) 6554, https://doi.org/10.1364/AO.53.006554.
B. Gao et al., Generation and categories of solitons in various mode-locked fiber lasers, Optik. 220 (2020) 165168, https://doi.org/10.1016/j.ijleo.2020.165168.
Y. Han, Y. Guo, B. Gao, C. Ma, R. Zhang, and H. Zhang, Generation, optimization, and application of ultrashort femtosecond pulse in mode-locked fiber lasers, Prog. Quantum. Electron, 71 (2020) 100264, https://doi.org/10.1016/j.pquantelec.2020.100264.
W. Du, H. Li, Y. Lyu, C. Wei, and Y. Liu, Period doubling of dissipative-soliton-resonance pulses in passively mode-locked fiber lasers, Front. Phys. 7 (2020) 253, https://doi.org/10.3389/fphy.2019.00253.
Y.Wang et al., Breach and recurrence of dissipative soliton resonance during period-doubling evolution in a fiber laser, Phys. Rev. A 102 (2020) 013501, https://doi.org/10.1103/PhysRevA.102.013501.
F. O. Ilday, J. Buckley, and F. W. Wise, Period-doubling Route to Multiplepulsing in Femtosecond Fiber Lasers, in Nonlinear Guided Waves and Their Applications (Optical Society of America, Washington D.C., 2004), No. MD9, https://doi.org/10.1364/NLGW.2004.MD9.
L. Larger, J.-P. Goedgebuer, and V. Udaltsov, Ikedabased nonlinear delayed dynamics for application to secure optical transmission systems using chaos, C. R. Phys. 5 (2004) 669, https://doi.org/10.1016/j.crhy.2004.05.003.
G. D. VanWiggeren and R. Roy, Optical communication with chaotic waveforms, Phys. Rev. Lett. 81 (1998) 3547, https://doi.org/10.1103/PhysRevLett.81.3547.
A. K. Ghosh et al., Design of acousto-optic chaos based secure free-space optical communication links, in Proceedings of Free-Space Laser Communications IX (International Society of Optics and Photonics, California, 2009), Vol. 7464, https://doi.org/10.1117/12.826813.
M. Iqbal, Z. Zheng, and T. Yu, Modeling of mode-locked lasers, Proceedings of the 7th WSEAS International Conference on Simulation, Modelling and Optimization. World Scientific and Engineering Academy and Society (2007) 474.
S. Namiki, E.P. Ippen, H.A. Haus, and X.Y. Charles, Energy rate equations for mode-locked lasers, J. Opt. Soc. Am. B, 14 (1997) 2099, https://doi.org/10.1364/JOSAB.14.002099.
A. Haus, Hermann, J. G. Fujimoto, and P. I. Erich, Analytic theory of additive pulse and Kerr lens mode locking, IEEE J. Quantum Electron. 28 (1992) 2086, https://doi.org/10.1109/3.159519.
T.R. Schibli, E.R. Thoen, F.X. K¨artner, E.P. Ippen, Suppression of Q-switched mode locking and break-up into multiple pulses by inverse saturable absorption, Appl. Phys. B 70 (2000) S41, https://doi.org/10.1007/s003400000331.
M. A. Sharif, Modeling Mode-Locked Fiber Soliton Lasers based Optical Communication Networks, in Proceedings of the 5th Symposium on Adcances in Science and Technology (Civilica, Mashhad, 2011).
X. Liu, and B. Lee, A fast method for nonlinear Schrodinger equation, IEEE Photon. Technol. Lett. 15 (2003) 1549, https://doi.org/10.1109/LPT.2003.818679.
T. Chen, Z. Fang, Y. Hai-Qing, C. Zhan-Qing, and L. Tao, Three-Step Predictor-Corrector of Exponential Fitting Method for Nonlinear Schrödinger Equations, Commun. Theor. Phys. 44 (2005) 435, https://doi.org/10.1088/6102/44/3/435.
D. Kim, et al., Graphene-based saturable absorber and modelocked laser behaviors under gamma-ray radiation, Photonics Res. 7 (2019) 742, https://doi.org/10.1364/PRJ.7.000742.
G. Sobon, Mode-locking of fiber lasers using novel twodimensional nanomaterials: graphene and topological insulators, Photonics Res. 3 (2015) A56, https://doi.org/10.1364/PRJ.3.000A56.
V. Mamidala, R. I. Woodward, Y. Yang, H.H. Liu, and K.K. Chow, Three-dimensional graphene based passively modelocked fiber laser, Opt. express 22 (2014) 31458, https://doi.org/10.1364/OE.22.004539.
H. Ahmad, F. D. Muhammad, M. Z. Zulkifli, S. W. Harun, Graphene-based mode-locked spectrum-tunable fiber laser using Mach-Zehnder filter, IEEE Photonics J. 5 (2013) 1501709, https://doi.org/10.1109/JPHOT.2013.2281609.
Y. Hammadi et al., Graphene based soliton mode-locked erbium doped fiber laser for supercontinuum generation, Dig. J. Nanomater. Bios. 13 (2018) 777.
A. Ciattoni, and C. Rizza, Graphene-nonlinearity unleashing at lasing threshold in graphene-assisted cavities, Phys. Rev. A, 91 (2015) 053833, https://doi.org/10.1103/PhysRevA.91.053833.
N. A. Savostianova, and S. A. Mikhailov, Giant enhancement of the third harmonic in graphene integrated in a layered structure, Appl. Phys. Lett. 107 (2015) 181104, https://doi.org/10.1063/1.4935041.
How to Cite
Copyright (c) 2021 Morteza A. Sharif, K. Ashabi
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
Authors retain copyright and grant the Revista Mexicana de Física right of first publication with the work simultaneously licensed under a CC BY-NC-ND 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.