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基于小波变换的超短脉冲相位回归
引用本文:文汝红.基于小波变换的超短脉冲相位回归[J].应用激光,2012,32(4):327-330.
作者姓名:文汝红
作者单位:文汝红:宜春学院物理科学与工程技术学院, 江西 宜春 336000
摘    要:针对频率分辨光学门法(FROG)要用傅里叶变换迭代算法耗时较长不利于实时检测的缺点,及光谱相位相干直接电场重构法(SPIDER)中用传统傅里叶方法滤波过程会产生相位噪声的缺点,提出了用小波变换回归相位的方法。对FROG迹线进行时-频分析直接提取脉冲相位,从SPIDER方法的光谱干涉条纹的小波变换中直接读取相位,对两种方法的小波变换进行了数学模拟,并与傅里叶变换结果进行对比,得到:小波变换能准确地回归超短脉冲相位。最后采用SPIDER方法测量了KLM钛宝石激光器输出脉冲的光谱干涉条纹,并用小波变换和傅里叶变换重建了光谱相位,消除了窗口滤波引入的噪声,证明了方法的正确性和可靠性,更适用于超短脉冲的评价。

关 键 词:超短脉冲  小波变换  相位回归  傅里叶变换
收稿时间:2012/4/10

Wavelet Transform Analysis for Phase Retrieval of Ultrashort Optical Pulse
Wen Ruhong.Wavelet Transform Analysis for Phase Retrieval of Ultrashort Optical Pulse[J].Applied Laser,2012,32(4):327-330.
Authors:Wen Ruhong
Affiliation:Wen Ruhong (Physics Science and Technology College,Yichun University,Yichun,Jiangxi 336000,China)
Abstract:Wavelet transform analysis for phase retrieval of ultrashort optical pulse is introduced. For frequency resolved optical gating (FROG), the phase can be extracted with time-frequency analysis of wavelet transform without iterative algorithm of Fourier. For spectral shearing interferometry of direct electric reconstruction (SPIDER), the phase can be read from the Gabor wavelet transform of spectral interferogram, which eliminates the noise from improper temporal filters of the conventional Fourier transform. The simulation and measurement proved the precision of wavelet transform of phase reconstruction.
Keywords:ultrashort pulse  wavelet transform  phase retrieval  Fourier transform
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