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中国物理学会期刊

SHAP驱动的NOLM锁模光纤激光器智能参数优化研究

Research on NOLM Mode-Locked Fiber Lasers Based on SHAP

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  • 针对非线性光学环形镜锁模光纤激光器参数空间复杂、输出特性难以精准调控的问题,本文提出了一种融合SHAP可解释性分析与遗传算法的智能参数优化方法。首先,采用四阶龙格-库塔相互作用表象法求解金兹堡-朗道方程对NOLM锁模激光器进行数值仿真,系统探究了二阶色散系数、非线性折射率、小信号增益系数等关键参数对输出脉冲峰值功率、能量及宽度的影响,构建了多维参数仿真数据集。随后建立了随机森林(RF)、极端梯度提升(XGB)、反向传播神经网络(BPNN)及一维卷积神经网络(1D CNN)四种代理模型进行预测性能分析,结果表明BPNN和1D CNN具有更优的泛化能力和预测稳定性。在此基础上,引入SHAP可解释性框架量化了各参数的贡献度,揭示了非线性折射率与增益相关参数对输出特性的主导作用机制。最后结合遗传算法(GA)开展单目标与多目标寻优,并利用SHAP特征筛选缩小参数空间。研究结果表明,引入SHAP后的优化结果与未引入时基本持平,这证明可在保证优化效果的前提下,通过聚焦关键参数降低参数维度,减少计算资源消耗。本研究系统构建了面向NOLM锁模光纤激光器的多代理模型评估体系,并在此基础上进行SHAP驱动的模型信任度验证与优化效率提升,对激光器的参数优化具有较高的指导价值。

     

    This paper presents an interpretable machine-learning framework integrating RK4IP simulation, surrogate modeling, SHAP analysis, and genetic algorithm (GA) optimization to address the challenge of optimizing nonlinear optical loop mirror (NOLM) based passively mode-locked fiber lasers in their high-dimensional coupled parameter space. The Ginzburg-Landau equation is solved via the fourth-order Runge-Kutta in the interaction picture (RK4IP) method to simulate pulse evolution in the laser cavity. A comprehensive dataset of 500 samples is generated by uniformly varying six key parameters: second-order dispersion (β2, 11.2-29.2 ps2/km), nonlinear refractive index (n2, 2.3-2.9×10-16 cm2/W), small-signal gain (gss, 36-39 dB), gain saturation power (Psat, 22-25 dBm), gain fiber length (LAF, 0.7-1.3 m), and gain bandwidth (Δλ, 50~110 nm). Four surrogate models—Random Forest (RF), XGBoost (XGB), backpropagation neural network (BPNN), and one-dimensional convolutional neural network (1D CNN) — are systematically compared. BPNN and 1D CNN demonstrate superior generalization, achieving test-set R2 values of 0.951 for peak power, 0.981 for pulse energy, and 0.996 for pulse duration, with ratio of performance to deviation (RPD) reaching 4.56, 7.31, and 15.94, respectively. RF and XGB exhibit certain overfitting tendencies in specific tasks. SHAP analysis quantifies feature contributions and uncovers the physical mechanisms governing output characteristics. For peak power, n2 and gss are the most influential parameters, with SHAP dependence plots revealing that n2 exerts a negative effect while gss shows a strong positive correlation. For pulse energy and pulse duration, gss, Psat, 22-25 dBm, and LAF collectively dominate model predictions, while β2, n2, and Δλ play marginal roles. Based on these interpretability results, a two-stage GA optimization is implemented. Baseline optima are first established through full six-dimensional search for peak power, pulse energy, and pulse duration. Subsequently, parameters with consistently low SHAP importance across models are fixed at nominal values, and GA is re-executed in the reduced subspace. The optimized outputs from the reduced search closely match full-space results: RF and BPNN retain over 99% of baseline peak power performance; BPNN and 1D CNN preserve 86.5% of pulse energy; pulse duration retention exceeds 94% for RF, BPNN, and 1D CNN. Meanwhile, computational time is reduced by 60%-70% and convergence accelerates by 30%-60%, demonstrating substantial efficiency gains without sacrificing solution quality. This work establishes an efficient, interpretable framework for NOLM laser optimization, combining simulation, surrogate modeling, SHAP interpretation, and GA search to enable accurate prediction, global optimization, and physical insight.

     

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