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SSFM-global-error-local-energy method for improving computational efficiency of passively mode-locked fiber laser

YAN Run-bin HE Xiao-ying ZHANG Chuan ZHANG Yin-dong RAO Lan

严润彬, 何晓颖, 张川, 张银东, 饶岚. 可提升被动锁模光纤激光器计算效率的分步傅里叶全局误差局部能量法[J]. 中国光学(中英文), 2023, 16(3): 733-742. doi: 10.37188/CO.EN.2022-0016
引用本文: 严润彬, 何晓颖, 张川, 张银东, 饶岚. 可提升被动锁模光纤激光器计算效率的分步傅里叶全局误差局部能量法[J]. 中国光学(中英文), 2023, 16(3): 733-742. doi: 10.37188/CO.EN.2022-0016
YAN Run-bin, HE Xiao-ying, ZHANG Chuan, ZHANG Yin-dong, RAO Lan. SSFM-global-error-local-energy method for improving computational efficiency of passively mode-locked fiber laser[J]. Chinese Optics, 2023, 16(3): 733-742. doi: 10.37188/CO.EN.2022-0016
Citation: YAN Run-bin, HE Xiao-ying, ZHANG Chuan, ZHANG Yin-dong, RAO Lan. SSFM-global-error-local-energy method for improving computational efficiency of passively mode-locked fiber laser[J]. Chinese Optics, 2023, 16(3): 733-742. doi: 10.37188/CO.EN.2022-0016

可提升被动锁模光纤激光器计算效率的分步傅里叶全局误差局部能量法

详细信息
  • 中图分类号: TN248

SSFM-global-error-local-energy method for improving computational efficiency of passively mode-locked fiber laser

doi: 10.37188/CO.EN.2022-0016
Funds: Supported by Foundamental of Research Funds for the Centre Universities (No.2021RC05); National Natural Science Foundation of China (No.61675046, No.61935005)
More Information
    Author Bio:

    YAN Run-bin (1998—), male, born in Kunming, Yunnan Province, master student. He received hisbachelor’s degree from Beijing University of Posts and Telecommunications in 2020. He is mainly engaged in the research of mode-locked fiber laser and nonlinear optics. E-mail:yanrunbin@bupt.edu.cn

    HE Xiao-ying (1981—), female, born in Jingzhou, Hubei Province, Ph.D., associate research fellow. She received her Ph.D. from Huazhong University of Science and Technology in 2009. She is mainly engaged in the research of semiconductor lasers, fiber lasers, graphene optoelectronic devices and other novel optoelectronic devices. E-mail:xiaoyinghe@bupt.edu.cn

    Corresponding author: xiaoyinghe@bupt.edu.cn
  • 摘要:

    本文提出了一种提高被动锁模光纤激光器计算效率的方法,该方法由对称分步傅立叶方法(SSFM)和全局误差局部能量(GELE)方法组成。该方法可将与全局误差相关的局部能量增量限制在一定范围内来控制步长。该方法具有自动步长调整机制。达到同程度的计算精度,本文方法的计算时间为255 s,而小的恒定步长SSFM方法需要3855 s。这表明本文方法可以将计算效率提高10余倍。本文方法还可以通过RK4IP、Adams、预测-校正等高阶算法进行扩展,以提高精度。

     

  • Figure 1.  Schematic diagram of all-normal-dispersion passively mode-locked Er-doped fiber laser

    Figure 2.  The relationship between global error and the local energy increment δ

    Figure 3.  Energy evolution within a local step in each loop

    Figure 4.  The spectra of dissipative soliton. (a) SSFM-GELE method; (b) SSFM-fine method

    Figure 5.  The temporal intensity of dissipative soliton

    Figure 6.  Results from numerical simulation of dissipative soliton showing temporal evolution of the pulse in cavity. (a) By the SSMF-GELE method. (b) By the SSMF-Fine method. Both (a) and (b) are color map. (c) and (d) are waveforms over the propagation loop of 300.

    Figure 7.  Global error and the computational time calculated by GELE and constant methods

  • [1] ZHAO T X, LIU G X, DAI L L, et al. Narrow bandwidth spatiotemporal mode-locked Yb-doped fiber laser[J]. Optics Letters, 2022, 47(15): 3848-3851. doi: 10.1364/OL.465533
    [2] ZHAO Z H, JIN L, SET S Y, et al. Broadband similariton generation in a mode-locked Yb-doped fiber laser[J]. Optics Letters, 2022, 47(9): 2238-2241. doi: 10.1364/OL.456808
    [3] AGRAWAL G P. Nonlinear Fiber Optics[M]. 6th ed. San Diego: Academic Press, 2019.
    [4] LIMA I T, DEMENEZES T D S, GRIGORYAN V S, et al. Nonlinear compensation in optical communications systems with normal dispersion fibers using the nonlinear Fourier transform[J]. Journal of Lightwave Technology, 2017, 35(23): 5056-5068. doi: 10.1109/JLT.2017.2766622
    [5] DEITERDING R, GLOWINSKI R, OLIVER H, et al. A reliable split-step fourier method for the propagation equation of ultra-fast pulses in single-mode optical fibers[J]. Journal of Lightwave Technology, 2013, 31(12): 2008-2017. doi: 10.1109/JLT.2013.2262654
    [6] SAFAEI A, BOLORIZADEH M A. Solving nonlinear Schrödinger equation by a new and fast method[J]. Physica Scripta, 2021, 96(12): 125238. doi: 10.1088/1402-4896/ac2efe
    [7] COOLEY J W, TUKEY J W. An algorithm for the machine calculation of complex fourier series[J]. Mathematics of Computation, 1965, 19(90): 297-301. doi: 10.1090/S0025-5718-1965-0178586-1
    [8] CRISTIANI I, TEDIOSI R, TARTARA L, et al. Dispersive wave generation by solitons in microstructured optical fibers[J]. Optics Express, 2004, 12(1): 124-135. doi: 10.1364/OPEX.12.000124
    [9] BREHLER M, SCHIRWON M, GÖDDEKE D, et al. A GPU-accelerated fourth-order runge-kutta in the interaction picture method for the simulation of nonlinear signal propagation in multimode fibers[J]. Journal of Lightwave Technology, 2017, 35(17): 3622-3628. doi: 10.1109/JLT.2017.2715358
    [10] LAUTERIO-CRUZ J P, HERNANDEZ-GARCIA J C, POTTIEZ O, et al. Numerical study of supercontinuum generation using noise-like pulses in standard fibre[J]. Laser Physics, 2018, 28(9): 095106. doi: 10.1088/1555-6611/aacca6
    [11] IBARRA-VILLALÓN H E, POTTIEZ O, GÓMEZ-VIEYRA A, et al. Numerical approaches for solving the nonlinear Schrödinger equation in the nonlinear fiber optics formalism[J]. Journal of Optics, 2020, 22(4): 043501.
    [12] IBARRA-VILLALON H E, POTTIEZ O, GÓMEZ-VIEYRA A, et al. Embedded split-step methods optimized with a step size control for solving the femtosecond pulse propagation problem in the nonlinear fiber optics formalism[J]. Physica Scripta, 2021, 96(7): 075502. doi: 10.1088/1402-4896/abf7fb
    [13] SINKIN O V, HOLZLÖHNER R, ZWECK J, et al. Optimization of the split-step Fourier method in modeling optical-fiber communications systems[J]. Journal of Lightwave Technology, 2003, 21(1): 61-68. doi: 10.1109/JLT.2003.808628
    [14] LI SH G, XING G L, ZHOU G Y, et al. Adaptive split-step Fourier method for simulating ultrashort laser pulse propagation in photonic crystal fibres[J]. Chinese Physics, 2006, 15(2): 437-443. doi: 10.1088/1009-1963/15/2/034
    [15] HEIDT A M. Efficient adaptive step size method for the simulation of supercontinuum generation in optical fibers[J]. Journal of Lightwave Technology, 2009, 27(18): 3984-3991. doi: 10.1109/JLT.2009.2021538
    [16] MUSETTI S, SERENA P, BONONI A. On the accuracy of split-step fourier simulations for wideband nonlinear optical communications[J]. Journal of Lightwave Technology, 2018, 36(23): 5669-5677. doi: 10.1109/JLT.2018.2877384
    [17] HUANG W T, LIU F F, LV X, et al. Dynamics and numerical simulation of optical pulses in the passively mode-locked Er-doped fiber laser[J]. Communications in Nonlinear Science and Numerical Simulation, 2022, 114: 106658. doi: 10.1016/j.cnsns.2022.106658
    [18] HAN Y, GAO B, LI Y Y, et al. Numerical simulation of two-soliton and three-soliton molecules evolution in passively mode-locked fiber laser[J]. Optik, 2020, 223: 165381. doi: 10.1016/j.ijleo.2020.165381
    [19] BÉLANGER P A, GAGNON L, PARÉ C. Solitary pulses in an amplified nonlinear dispersive medium[J]. Optics Letters, 1989, 14(17): 943-45. doi: 10.1364/OL.14.000943
    [20] ZHANG X Y, SONG Y R. Mode-locked fiber lasers based on doped fiber arrays[J]. Applied Optics, 2014, 53(14): 2998-3003. doi: 10.1364/AO.53.002998
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出版历程
  • 收稿日期:  2022-09-20
  • 修回日期:  2022-10-24
  • 录用日期:  2022-11-22
  • 网络出版日期:  2022-12-30

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