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基于傅里叶变换光谱技术的Zoom-FFT算法研究
引用本文:张茗璇,高教波,孟合民,范喆,郑雅卫,李俊娜.基于傅里叶变换光谱技术的Zoom-FFT算法研究[J].应用光学,2013,34(3):452-456.
作者姓名:张茗璇  高教波  孟合民  范喆  郑雅卫  李俊娜
作者单位:西安应用光学研究所,陕西 西安 710065
摘    要: 在分析经典的Zoom-FFT算法基础上,提出一种基于傅里叶变换光谱技术的Zoom-FFT算法,用matlab仿真常规FFT算法和Zoom-FFT算法,对不同采样步长的干涉条纹进行数据处理,通过反演出的光谱曲线图和原始光谱曲线图可以看出:采样步长小于20 μm时,FFT和Zoom-FFT算法都可以反演出光谱;而当采样步长大于20 μm且小于33.3 μm时,FFT算法未能反演出光谱,而Zoom-FFT算法仍然可以反演出光谱。

关 键 词:傅里叶变换光谱技术  采样定理  采样步长  FFT  Zoom-FFT

Zoom-FFT based on Fourier transform spectroscopy
ZHANG Ming-xuan , GAO Jiao-bo , MENG He-min , FAN Zhe , ZHENG Ya-wei , LI Jun-na.Zoom-FFT based on Fourier transform spectroscopy[J].Journal of Applied Optics,2013,34(3):452-456.
Authors:ZHANG Ming-xuan  GAO Jiao-bo  MENG He-min  FAN Zhe  ZHENG Ya-wei  LI Jun-na
Institution:Xi-an Institute of Applied Optics, Xi-an 710065, China
Abstract:Based on the analysis of the classical Zoom-FFT, a Zoom-FFT algorithm based on Fourier transform spectroscopy was presented. Both FFT and Zoom FFT were used to process the interferogram with different sampling steps by Matlab simulation software, through the comparison of the inverted and original spectrum curves, it indicated that the spectrum could be inverted by both FFT and Zoom-FFT when the sampling step was less than 20 μm; But when the sampling step was greater than 20 μm and less than 33.3 μm, the spectrum could not be inverted by FFT algorithm, while the spectrum could be inverted by Zoom-FFT.
Keywords:Fourier transform spectroscopy  sampling theorem  sampling step  FFT  Zoom-FFT
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