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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。

Lateral shearing interferometry method based on double-checkerboard grating by suppressing aliasing effect.

作者信息

Liu Huiwen, Shi Runzhou, Zhu Yicheng, Shao Yuqi, Li Yuejia, Bai Jian

出版信息

Opt Express. 2024 Apr 8;32(8):13672-13687. doi: 10.1364/OE.519711.

DOI:10.1364/OE.519711
PMID:38859331
Abstract

Ronchi lateral shearing interferometry is a promising wavefront sensing technology with the advantages of simple structure and no reference light, which can realize a high-precision wavefront aberration measurement. To obtain shear information in both directions, the conventional double-Ronchi interferometer sequentially applies two orthogonal one-dimensional Ronchi gratings as the object-plane splitting element of the optics under test. Simultaneously, another Ronchi grating is positioned on the image plane in the same orientation to capture two sets of interferograms, thereby enabling two-dimensional wavefront reconstruction. Mechanical errors will inevitably be introduced during grating conversion, affecting reconstruction accuracy. Based on this, we propose a lateral shearing interferometry applying double-checkerboard grating. Only unidirectional phase shift is needed to obtain shear information in two directions while evading the grating conversion step, aiming to streamline operational processes and mitigate the potential for avoidable errors. We employ scalar diffraction theory to analyze the full optical path propagation process of the double-checkerboard shearing interferometry and introduce a new reconstruction algorithm to effectively extract the two-dimensional shear phase by changing the grating morphology, suppressing the aliasing effect of irrelevant diffraction orders. We reduce the fitting error through iterative optimization to realize high-precision wavefront reconstruction. Compared with conventional Ronchi lateral shearing interferometry, the proposed method exhibits better robustness and stability in noisy environments.

摘要

龙奇横向剪切干涉测量法是一种很有前景的波前传感技术,具有结构简单且无需参考光的优点,能够实现高精度的波前像差测量。为了在两个方向上获取剪切信息,传统的双龙奇干涉仪依次应用两个相互正交的一维龙奇光栅作为被测光学元件的物平面分光元件。同时,另一个龙奇光栅以相同的取向放置在像平面上,以捕获两组干涉图,从而实现二维波前重建。在光栅转换过程中不可避免地会引入机械误差,影响重建精度。基于此,我们提出了一种应用双棋盘格光栅的横向剪切干涉测量法。只需单向相移即可在两个方向上获取剪切信息,同时规避光栅转换步骤,旨在简化操作流程并减少可避免误差的可能性。我们采用标量衍射理论来分析双棋盘格剪切干涉测量法的全光路传播过程,并引入一种新的重建算法,通过改变光栅形态来有效提取二维剪切相位,抑制无关衍射级次的混叠效应。我们通过迭代优化降低拟合误差,以实现高精度的波前重建。与传统的龙奇横向剪切干涉测量法相比,该方法在噪声环境中表现出更好的鲁棒性和稳定性。

相似文献

1
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。
Opt Express. 2024 Apr 8;32(8):13672-13687. doi: 10.1364/OE.519711.
2
Applicability of the Van Cittert-Zernike theorem in a Ronchi shearing interferometer.范西特-泽尔尼克定理在龙奇剪切干涉仪中的适用性。
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Effects and elimination of image grating defocusing on a double-Ronchi shearing interference field.双Ronchi剪切干涉场中图像光栅离焦的影响及消除
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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
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Effects of illumination non-uniformity on the double-Ronchi lateral shearing interference field.光照不均匀对双 Ronchi 横向剪切干涉场的影响。
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