• Photonics Research
  • Vol. 11, Issue 3, 383 (2023)
Chenyue Lv1、2, Baole Lu1、2、3、*, and Jintao Bai1、2、4、*
Author Affiliations
  • 1State Key Laboratory of Energy Photon-Technology in Western China, International Collaborative Center on Photoelectric Technology and Nano Functional Materials, Institute of Photonics & Photon-Technology, Northwest University, Xi’an 710127, China
  • 2Shaanxi Engineering Technology Research Center for Solid State Lasers and Application, Provincial Key Laboratory of Photo-Electronic Technology, Northwest University, Xi’an 710069, China
  • 3e-mail: lubaole1123@163.com
  • 4e-mail: baijt@nwu.edu.cn
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    DOI: 10.1364/PRJ.475036 Cite this Article Set citation alerts
    Chenyue Lv, Baole Lu, Jintao Bai. Dynamics of frequency detuning in a hybrid Er-doped mode-locked fiber laser[J]. Photonics Research, 2023, 11(3): 383 Copy Citation Text show less

    Abstract

    Frequency detuning of mode-locked fiber lasers displays many remarkable nonlinear dynamical behaviors. Here we report for the first time the evolution of pulses from mode-locking through period pulsation to Q-switched mode-locking for three fundamental cases. Our experiments are performed in a hybrid actively and passively amplitude-modulated all-fiber polarization-maintaining mode-locked fiber laser, where the amplitude modulation frequency artificially deviates from the fundamental frequency of the cavity. We design and numerically simulate the laser with coupled Ginzburg–Landau equations. The experimentally observed dynamics of the mode detuning process is discussed with the assistance of the fitted model and numerical simulations, showing the generalizability of the optical mode detuning variation process. Our work provides fundamental insights for understanding perturbations in nonlinear optical resonant cavities and expands the ideas for studying chaotic path theory in hybrid mode-locked fiber lasers.
    Axz=δAxT+iΔβ2Axiβ222AxT2+iγ(|Ax|2+23|Ay|2)Ax+iγ3Ax*Ay2+gl2Ax+g2Ωg22AxT2,Ayz=δAyTiΔβ2Ayiβ222AyT2+iγ(|Ay|2+23|Ax|2)Ay+iγ3Ay*Ax2+gl2Ay+g2Ωg22AyT2ΔAM[1cos(ωmt+NR)]Ay,

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    g=Gexp[(|Ax|2+|Ay|2)dtPsat],

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    [AoutxAouty]=AβAφ2AθAφ1AαAin=[cos(β)sin(β)sin(β)cos(β)][eiφy200eiφx2][cos(θ)sin(θ)sin(θ)cos(θ)][eiφy100eiφx1][cos(α)sin(α)sin(α)cos(α)][0Ain],

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    TNPEx=[ei(φy1+φy2)sin(α)cos(β)cos(θ)e(φx1+φx2)cos(α)sin(β)cos(θ)+e(φx1+φy2)sin(α)sin(β)sin(θ)e(φx2+φy1)cos(α)cos(β)sin(θ)]2,TNPEy=[ei(φy1+φy2)sin(α)sin(β)cos(θ)+e(φx1+φx2)cos(α)cos(β)cos(θ)ei(φx1+φy2)sin(α)cos(β)sin(θ)ei(φx2+φy1)cos(α)sin(β)sin(θ)]2.

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    Chenyue Lv, Baole Lu, Jintao Bai. Dynamics of frequency detuning in a hybrid Er-doped mode-locked fiber laser[J]. Photonics Research, 2023, 11(3): 383
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