| 基于傅里叶变换的点衍射干涉术 |
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| 引用本文： | 王惠临,苏显渝,杨焕东. 基于傅里叶变换的点衍射干涉术[J]. 光电工程, 2008, 35(2): 51-55 |
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| 作者姓名： | 王惠临 苏显渝 杨焕东 |
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| 作者单位： | 四川大学电子信息学院,成都,610064 |
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| 摘 要： | 在相移算法的点衍射干涉术的基础上,提出了基于傅里叶变换的点衍射干涉测量术.基于傅里叶变换的点衍射干涉测量术是一种建立在点光源衍射干涉理论基础上的测量方法,它采用傅里叶条纹分析方法来求解干涉条纹的相位分布,运用基于BFGS的拟牛顿算法进行三坐标的迭代计算,确定点光源的三维空间坐标.通过计算机模拟实验,验证了该方法在有噪声干扰的情况下,可以有效降低干扰噪声对测量的影响.
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| 关 键 词： | 衍射干涉 傅里叶变换 拟牛顿算法 精密测量 傅里叶变换 点衍射 干涉术 Fourier Transform Based 影响 测量方法 干扰噪声 情况 噪声干扰 验证 计算机模拟实验 空间坐标 三维 迭代计算 三坐标 拟牛顿算法 BFGS 运用 相位分布 |
| 文章编号： | 1003-501X（2008）02-051-05 |
| 收稿时间： | 2007-06-26 |
| 修稿时间： | 2007-11-17 |
Point-diffraction Interferometry Based on Fourier Transform |
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| WANG Hui-lin,SU Xian-yu,YANG Huan-dong. Point-diffraction Interferometry Based on Fourier Transform[J]. Opto-Electronic Engineering, 2008, 35(2): 51-55 |
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| Authors: | WANG Hui-lin SU Xian-yu YANG Huan-dong |
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| Abstract: | A point-diffraction interferometry was presented based on Fourier transform instead of the phase-shifting point-diffraction interferometry.It is a measurement method following the diffraction and interference theory of the point light source.The phase message of interference pattern was obtained by the Fourier transform pattern analysis method.And the xyz-coordinates of the two point diffraction sources were calculated by the modified Newton method based on the Broyden-Fletcher-Goldfarb-Shanno (BFGS) algorithm.It is proved in this article that the point-diffraction interferometry based on Fourier transform can reduce the effect of the random noise on measurement effectively by computer simulation experiment. |
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| Keywords: | diffraction interferometry Fourier-transform modified Newton method precision measurement |
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