具有增强信噪比和线型校正的啁啾脉冲光谱窗函数
Window Function for Chirped Pulse Spectroscopy with Enhanced Signal-to-noise Ratio and Lineshape Correction
摘要：
在啁啾脉冲实验中，利用幅度傅里叶变换产生频域谱。在啁啾光谱学中，窗函数作为一种线形校正和信噪比增强的工具很少被讨论，唯一的例外是使用Kaiser-Bessel窗和平凡矩形窗。我们提出了一个特殊的窗口函数，称为“Voigt-1D”窗口，设计啁啾脉冲光谱。窗函数校正幅值傅里叶变换光谱到Voigt线型，并提供宽的可调谐性以控制最终谱线的SnR和线型。我们推导出的窗口函数的数学性质，并评估的窗口函数的性能相比，凯撒贝塞尔窗口的实验和模拟数据集。我们的结果表明，与未加窗的光谱相比，Voigt-1D窗能够产生平均100%的SnR增强。
英文摘要：
In chirped pulse experiments, magnitude Fourier transform is used to generate frequency domain spectra. The application of window function as a tool for lineshape correction and signal-to-noise ratio (SnR) enhancement is rarely discussed in chirped spectroscopy, with the only exception of using Kaiser-Bessel window and trivial rectangular window. We present a specific window function, called "Voigt-1D" window, designed for chirped pulse spectroscopy. The window function corrects the magnitude Fourier-transform spectra to Voigt lineshape, and offers wide tunability to control the SnR and lineshape of the final spectral lines. We derived the mathematical properties of the window function, and evaluated the performance of the window function in comparison to the Kaiser-Bessel window on experimental and simulated data sets. Our result shows that, compared with un-windowed spectra, the Voigt-1D window is able to produce 100 % SnR enhancement on average.
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