Common pulse retrieval algorithm：一种快速通用的超短脉冲提取方法
Common pulse retrieval algorithm: a fast and universal method to retrieve ultrashort pulses
摘要：
我们提出了一个共同的脉冲检索算法（COPRA），可用于一个广泛的类别的超短激光脉冲测量方案，包括频率分辨光学门控（FROG），干涉FROG，色散扫描，时域重叠关联，和脉冲整形器辅助技术，如多光子脉冲内干涉相位扫描（MIIPS）。我们证明了它的性能在全面的数值试验，并表明它是快速，可靠和准确的存在高斯噪声。对于FROG，它优于基于广义投影和重叠关联的检索算法。此外，我们讨论了脉冲检索问题作为一个非线性最小二乘问题，并证明了获得最小二乘解决方案的重要性，噪声数据。这些结果提高和扩展的可能性的数值脉冲检索。与现有的检索算法相比，COPRA速度更快，结果更准确。此外，它能够从之前不知道检索算法的测量中检索完整的脉冲，例如，MIIPS测量。
英文摘要：
We present a common pulse retrieval algorithm (COPRA) that can be used for a broad category of ultrashort laser pulse measurement schemes including frequency-resolved optical gating (FROG), interferometric FROG, dispersion scan, time domain ptychography, and pulse shaper assisted techniques such as multiphoton intrapulse interference phase scan (MIIPS). We demonstrate its properties in comprehensive numerical tests and show that it is fast, reliable and accurate in the presence of Gaussian noise. For FROG it outperforms retrieval algorithms based on generalized projections and ptychography. Furthermore, we discuss the pulse retrieval problem as a nonlinear least-squares problem and demonstrate the importance of obtaining a least-squares solution for noisy data. These results improve and extend the possibilities of numerical pulse retrieval. COPRA is faster and provides more accurate results in comparison to existing retrieval algorithms. Furthermore, it enables full pulse retrieval from measurements for which no retrieval algorithm was known before, e.g., MIIPS measurements.
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