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基于欧几里得矩阵范数的相移提取算法。

Phase shift extraction algorithm based on Euclidean matrix norm.

机构信息

Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510006, China.

出版信息

Opt Lett. 2013 May 1;38(9):1506-8. doi: 10.1364/OL.38.001506.

DOI:10.1364/OL.38.001506
PMID:23632533
Abstract

In this Letter, the character of Euclidean matrix norm (EMN) of the intensity difference between phase-shifting interferograms, which changes in sinusoidal form with the phase shifts, is presented. Based on this character, an EMN phase shift extraction algorithm is proposed. Both the simulation calculation and experimental research show that the phase shifts with high precision can be determined with the proposed EMN algorithm easily. Importantly, the proposed EMN algorithm will supply a powerful tool for the rapid calibration of the phase shifts.

摘要

在这封信件中,提出了相移干涉图之间强度差的欧几里得矩阵范数(EMN)的特征,该特征随相移呈正弦形式变化。基于此特征,提出了一种 EMN 相移提取算法。模拟计算和实验研究均表明,该 EMN 算法可以轻松确定高精度的相移。重要的是,所提出的 EMN 算法将为相移的快速校准提供有力工具。

相似文献

1
Phase shift extraction algorithm based on Euclidean matrix norm.基于欧几里得矩阵范数的相移提取算法。
Opt Lett. 2013 May 1;38(9):1506-8. doi: 10.1364/OL.38.001506.
2
Euclidean matrix norm algorithm for simultaneous dual-wavelength phase-shifting interferometry with blind phase shifts.用于具有盲相移的同步双波长相移干涉测量的欧几里得矩阵范数算法
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Phase-shift extraction for generalized phase-shifting interferometry.广义相移干涉术的相移提取。
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Phase extraction from interferograms with unknown tilt phase shifts based on a regularized optical flow method.基于正则化光流法从不明倾斜相移干涉图中提取相位
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Phase retrieval approach based on the normalized difference maps induced by three interferograms with unknown phase shifts.基于由具有未知相移的三个干涉图诱导的归一化差分图的相位恢复方法。
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引用本文的文献

1
An advanced phase retrieval algorithm in N-step phase-shifting interferometry with unknown phase shifts.N 步相移干涉术的一种未知相移高级相位恢复算法。
Sci Rep. 2017 Mar 14;7:44307. doi: 10.1038/srep44307.
2
Precise phase retrieval under harsh conditions by constructing new connected interferograms.通过构建新的连通干涉图在恶劣条件下进行精确的相位恢复。
Sci Rep. 2016 Apr 14;6:24416. doi: 10.1038/srep24416.