光子学报, 2015, 44 (11): 1112004, 网络出版: 2015-12-18
干涉条纹的高准确度傅里叶变换分析
Fourier Transform Method for Interferogram Analysis with High Accuracy
光学测量 相位恢复 傅里叶变换 干涉图 载频估计 位移定理 频谱泄露 Optical measurement Phase retrieval Fourier transform Interferogram Carrier frequency estimation Shifting theorem Spectrum leakage
摘要
提出了一种可用于干涉条纹傅里叶变换分析的空间载波频率估计方法.通过干涉条纹的加窗切趾处理及旁瓣质心坐标的计算,得到空间载波频率的高准确度估计.基于傅里叶变换的位移定理,用估计的空间载波频率实现了载频的移除.模拟和实验结果表明此方法可以有效地抑制传统干涉条纹傅里叶变换分析中的载频移除误差和频谱泄漏误差.
Abstract
A method for estimating spatial carrier frequencies in the interferogram analysis using Fourier transform was presented. By multiplying the original interferogram with a 2D window function and calculating the centroid coordinates of the sidelobe of the apodized interferogram,the spatial carrier frequencies was estimated with high accuracy. Based on the Fourier shift theorem,the carrier removal was realized with the estimated spatial carrier frequencies. The simulation and experiment results show that the method can suppress the carrier removal error as well as the spectrum leakage error effectively.
粟银, 范琦, 王云飞, 杨鸿儒, 黎高平, 朱春昶, 朱诗剑, 吴博睿. 干涉条纹的高准确度傅里叶变换分析[J]. 光子学报, 2015, 44(11): 1112004. SU Yin, FAN Qi, WANG Yun-fei, YANG Hong-ru, LI Gao-ping, ZHU Chun-chang, ZHU Shi-jian, WU Bo-rui. Fourier Transform Method for Interferogram Analysis with High Accuracy[J]. ACTA PHOTONICA SINICA, 2015, 44(11): 1112004.
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