Dispersion-scan characterization of partially coherent ultrashort pulses: a differential evolution algorithm analysis
doi: 10.37188/CO.EN-2026-0001
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摘要:
目的：为了从色散扫描轨迹中恢复脉冲信息，本文采用了一种差分进化算法。方法：生成一个部分相干脉冲序列，并使用传统差分进化算法及其改进版本进行测试。结果：传统差分进化算法和改进差分进化算法的恢复误差分别为7%和1%。结论：改进算法能够更准确地恢复部分相干脉冲序列的色散扫描轨迹。
Abstract:Objective: To retrieve the pulse information from the dispersion scanning (d-scan) trace, a differential evolution (DE) algorithm is used. Methods: A partially coherent pulse train is generated and then test by traditional DE algorithm and its improved version. Results: The errors retrieved using the traditional and improved DE algorithms are 7% and 1%, respectively. Conclusion: The improved algorithm can more accurately retrieve the d-scan trace of partially coherent pulse train.
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Figure 1. Partially coherent pulse trains generated with initial spectral FWHM of (a) 30 THz, (b) 60 THz, and (c) 100 THz. Gray curves:
6000 randomly generated pulses. Dashed lines: averaged spectral intensity (blue: 30 THz, violet: 60 THz, magenta: 100 THz). (d) Interpulse coherence for 30 THz (blue solid), 60 THz (violet dashed), and 100 THz (magenta dotted).
Figure 2. Partially coherent pulse trains generated with initial spectral shapes: (a) HS, (b) Gaussian, (c) SG. Gray curves:
6000 randomly generated pulses. Dashed lines: averaged spectral intensity (blue: HS, violet: Gaussian, magenta: SG). (d) Interpulse coherence for HS (blue solid), Gaussian (violet dashed), and SG (magenta dotted).
Figure 3. Sample pulses for initial spectral width of (a1−a3) 30 THz, (b1−b3) 60 THz, and (c1−c3) 100 THz. (a4, b4, c4) Ensemble-averaged spectra; (a5, b5, c5) ensemble-averaged temporal shapes over
6000 pulses.
Figure 4. (a1, b1, c1) Average d-scan traces for 30 THz, 60 THz, and 100 THz. (a2, b2, c2) Corresponding traces retrieved with traditional DE.
Figure 5. Retrieved d-scan traces for (a) 30 THz, (b) 60 THz, and (c) 100 THz. Six representative subset traces are shown to the right of each panel.
Figure 6. Retrieved results for initial spectral width of (a1−a5) 30 THz, (b1−b5) 60 THz, and (c1−c5) 100 THz. (a1−a3, b1−b3, c1−c3) Random sample pulses; (a4, b4, c4) retrieved average spectrum and phase; (a5, b5, c5) retrieved average temporal shape and phase.
Figure 7. Sample pulses for initial spectral shape and phase of (a1−a3) HS, (b1−b3) Gaussian, and (c1−c3) SG. (a4, b4, c4) Ensemble-averaged spectra and phase; (a5, b5, c5) ensemble-averaged temporal shapes and phase.
Figure 8. (a1, b1, c1) Average d-scan traces for HS, Gaussian, and SG. (a2, b2, c2) Corresponding traces retrieved with traditional DE.
Figure 9. Retrieved d-scan traces for (a) HS, (b) Gaussian, and (c) SG. Six representative subset traces are shown to the right of each panel.
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