透镜模型下基于色散和强度传输方程的相位恢复技术

程鸿; 熊帮玲; 王金成; 马慧敏; 张芬; 韦穗

doi:10.3788/IRLA201948.0603018

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透镜模型下基于色散和强度传输方程的相位恢复技术

程鸿, 熊帮玲, 王金成, 马慧敏, 张芬, 韦穗

文章导航 > 红外与激光工程 > 2019 > 48(6): 603018-0603018(6)

程鸿, 熊帮玲, 王金成, 马慧敏, 张芬, 韦穗. 透镜模型下基于色散和强度传输方程的相位恢复技术[J]. 红外与激光工程, 2019, 48(6): 603018-0603018(6). doi: 10.3788/IRLA201948.0603018

引用本文:

Cheng Hong, Xiong Bangling, Wang Jincheng, Ma Huimin, Zhang Fen, Wei Sui. Phase retrieval technology based on chromatic dispersion and transport of intensity equation in lens model[J]. Infrared and Laser Engineering, 2019, 48(6): 603018-0603018(6). doi: 10.3788/IRLA201948.0603018

Citation:

Cheng Hong, Xiong Bangling, Wang Jincheng, Ma Huimin, Zhang Fen, Wei Sui. Phase retrieval technology based on chromatic dispersion and transport of intensity equation in lens model[J]. Infrared and Laser Engineering, 2019, 48(6): 603018-0603018(6). doi: 10.3788/IRLA201948.0603018

透镜模型下基于色散和强度传输方程的相位恢复技术

doi: 10.3788/IRLA201948.0603018

1.
安徽大学电子信息工程学院,安徽合肥 230039

基金项目:

国家自然科学基金（61301296，61377006，61501001，61605002）;安徽省自然科学基金（1608085QF161）;安徽省高等学校自然科学研究项目（KJ2016A029，KJ2015A114）

详细信息

作者简介:
程鸿(1981-),女,副教授,博士,主要从事计算信号处理方面的研究。Email:chenghong@ahu.edu.cn

中图分类号: O438.2

Phase retrieval technology based on chromatic dispersion and transport of intensity equation in lens model

1.
School of Electronics and Information Engineering,Anhui University,Hefei 230039,China

摘要: 针对基于强度传输方程（Transport of Intensity Equation， TIE）的非干涉相位恢复技术要求光源是单色的限制，以及强度采集过程移动CCD或物体而引入的机械误差，提出了一种适用于透镜模型下的色散相位恢复技术。该方法基于透镜成像系统的相位变换特性，将色散与TIE结合在一起，使不同波长的光经过透镜系统后在同一位置成像，从而在不机械移动的情况下获得聚焦和散焦强度图像。再利用散焦量与波长的关系结合TIE计算出物体的相位信息。模拟实验中用该方法恢复物体的相位与原始相位的相关性系数为0.970 7，均方根误差为0.061 8；同时真实实验对透镜阵列相位进行了恢复，实验结果与真实参数误差为1.74%，证明了所提方法的正确性和有效性。
- 相位恢复 /
- 强度传输方程 /
- 色散 /
- 透镜成像系统
Abstract: Aiming at the non-interference phase retrieval technique based on Transport of Intensity Equation (TIE), which requires that the light source be monochromatic, and the mechanical error caused by moving CCD or object in the intensity acquisition process, a dispersion phase retrieval technique suitable for the lens model was proposed. The method was based on the phase transformation characteristic of the lens imaging system, and combined the dispersion with the TIE so that different wavelengths of light were imaged at the same position after passing through the lens system, thereby obtaining the focus and defocus intensity images without mechanical movement. Then, phase information of an object was calculated from the TIE by combining the relationship between the defocus amount and the wavelength. In this simulation, the correlation coefficient between the phase recovered by this method and the original phase is 0.970 7, and the RMSE is 0.061 8. At the same time, the phase of the lens array was restored by real experiment. The error between the experimental result and the real parameter is 1.74%, which proves the correctness and effectiveness of the proposed method.
- phase retrieval /
- transport of intensity equation /
- chromatic dispersion /
- lens imaging system

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透镜模型下基于色散和强度传输方程的相位恢复技术

doi: 10.3788/IRLA201948.0603018

1. 安徽大学电子信息工程学院,安徽合肥 230039

作者简介:
程鸿(1981-),女,副教授,博士,主要从事计算信号处理方面的研究。Email:chenghong@ahu.edu.cn

收稿日期: 2019-01-11
修回日期: 2019-02-21
刊出日期: 2019-06-25

基金项目:

国家自然科学基金（61301296，61377006，61501001，61605002）;安徽省自然科学基金（1608085QF161）;安徽省高等学校自然科学研究项目（KJ2016A029，KJ2015A114）

中图分类号: O438.2

关键词:

摘要: 针对基于强度传输方程（Transport of Intensity Equation， TIE）的非干涉相位恢复技术要求光源是单色的限制，以及强度采集过程移动CCD或物体而引入的机械误差，提出了一种适用于透镜模型下的色散相位恢复技术。该方法基于透镜成像系统的相位变换特性，将色散与TIE结合在一起，使不同波长的光经过透镜系统后在同一位置成像，从而在不机械移动的情况下获得聚焦和散焦强度图像。再利用散焦量与波长的关系结合TIE计算出物体的相位信息。模拟实验中用该方法恢复物体的相位与原始相位的相关性系数为0.970 7，均方根误差为0.061 8；同时真实实验对透镜阵列相位进行了恢复，实验结果与真实参数误差为1.74%，证明了所提方法的正确性和有效性。

English Abstract

Phase retrieval technology based on chromatic dispersion and transport of intensity equation in lens model

1. School of Electronics and Information Engineering,Anhui University,Hefei 230039,China

Received Date: 2019-01-11
Rev Recd Date: 2019-02-21
Publish Date: 2019-06-25

Keywords:

Abstract: Aiming at the non-interference phase retrieval technique based on Transport of Intensity Equation (TIE), which requires that the light source be monochromatic, and the mechanical error caused by moving CCD or object in the intensity acquisition process, a dispersion phase retrieval technique suitable for the lens model was proposed. The method was based on the phase transformation characteristic of the lens imaging system, and combined the dispersion with the TIE so that different wavelengths of light were imaged at the same position after passing through the lens system, thereby obtaining the focus and defocus intensity images without mechanical movement. Then, phase information of an object was calculated from the TIE by combining the relationship between the defocus amount and the wavelength. In this simulation, the correlation coefficient between the phase recovered by this method and the original phase is 0.970 7, and the RMSE is 0.061 8. At the same time, the phase of the lens array was restored by real experiment. The error between the experimental result and the real parameter is 1.74%, which proves the correctness and effectiveness of the proposed method.