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基于横向剪切干涉图的二维波前重建

Two-dimensional wave-front reconstruction from lateral shearing interferograms.

作者信息

Liang Peiying, Ding Jianping, Jin Zhou, Guo Cheng-Shan, Wang Hui-Tian

出版信息

Opt Express. 2006 Jan 23;14(2):625-34. doi: 10.1364/opex.14.000625.

DOI:10.1364/opex.14.000625
PMID:19503379
Abstract

An algorithm is proposed to reconstruct two-dimensional wave-front from phase differences measured by lateral shearing interferometer. Two one-dimensional phase profiles of object wave-front are computed using Fourier transform from phase differences, and then the two-dimensional wave-front distribution is retrieved by use of least-square fitting. The algorithm allows large shear amount and works fast based on fast Fourier transform. Investigations into reconstruction accuracy and reliability are carried out by numerical experiments, in which effects of different shear amounts and noises on reconstruction accuracy are evaluated. Optical measurement is made in a lateral shearing interferometer based on double-grating.

摘要

提出了一种从横向剪切干涉仪测量的相位差重建二维波前的算法。利用傅里叶变换从相位差计算出物波前的两个一维相位分布,然后通过最小二乘拟合得到二维波前分布。该算法允许较大的剪切量,并基于快速傅里叶变换快速工作。通过数值实验对重建精度和可靠性进行了研究,评估了不同剪切量和噪声对重建精度的影响。在基于双光栅的横向剪切干涉仪中进行了光学测量。

相似文献

1
Two-dimensional wave-front reconstruction from lateral shearing interferograms.基于横向剪切干涉图的二维波前重建
Opt Express. 2006 Jan 23;14(2):625-34. doi: 10.1364/opex.14.000625.
2
Two-dimensional wavefront reconstruction from lateral multi-shear interferograms.基于横向多剪切干涉图的二维波前重建
Opt Express. 2012 Jul 2;20(14):15723-33. doi: 10.1364/OE.20.015723.
3
Reflective grating interferometer: a folded reversal and shearing wave-front interferometer.
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Three-wave shearing interferometer based on spatial light modulator.基于空间光调制器的三波剪切干涉仪。
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5
Solution to the shearing problem.剪切问题的解决方案。
Appl Opt. 1999 Aug 10;38(23):5024-31. doi: 10.1364/ao.38.005024.
6
Lateral shearing interferometry method based on double-checkerboard grating by suppressing aliasing effect.基于双棋盘格光栅抑制混叠效应的横向剪切干涉测量方法。
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7
High-precision analysis of a lateral shearing interferogram by use of the integration method and polynomials.
Appl Opt. 2000 Oct 1;39(28):5179-86. doi: 10.1364/ao.39.005179.
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Improved Saunders method for the analysis of lateral shearing interferograms.
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Lateral shearing interferometer with variable shearing for measurement of a small beam.用于测量小光束的可变剪切横向剪切干涉仪。
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引用本文的文献

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Optimization of wavefront reconstruction accuracy for conjugate shift differential absolute testing.共轭偏移差动绝对测试中波前重构精度的优化。
Sci Rep. 2022 Dec 16;12(1):21751. doi: 10.1038/s41598-022-26380-y.
2
Double-frequency grating shearing interferometer with built-in phase-shifting function for robust multi-level phase retrieval.具有内置相移功能的双频光栅剪切干涉仪,用于稳健的多级相位恢复。
Sci Rep. 2022 Jun 8;12(1):9471. doi: 10.1038/s41598-022-13578-3.
3
Focal Spot and Wavefront Sensing of an X-Ray Free Electron laser using Ronchi shearing interferometry.
使用龙基剪切干涉测量法对X射线自由电子激光的焦斑和波前进行传感
Sci Rep. 2017 Oct 20;7(1):13698. doi: 10.1038/s41598-017-13710-8.