基于光强传输方程离散余弦变换求解的数字全息相位解调方法  

Digital Holographic Phase Unwrapping Based on Transport Intensity Equation Solved with Discrete Cosine Transform

作　　者：王杰宇 王华英 王学 门高夫 王文健 张子健 雷家良 董昭 Wang Jieyu;Wang Huaying;Wang Xue;Men Gaofu;Wang Wenjian;Zhang Zijian;Lei Jialiang;Dong Zhao(School of Mathematics and Physics Science and Engineering,Hebei University of Engineering,Handan 056038,Hebei,China;Hebei Computational Optical Imaging and Photoelectric Detection Technology Innovation Center,Handan 056038,Hebei,China)

机构地区：[1]河北工程大学数理科学与工程学院,河北邯郸056038 [2]河北省计算光学成像与光电检测技术创新中心,河北邯郸056038

出　　处：《激光与光电子学进展》2022年第21期124-131,共8页Laser & Optoelectronics Progress

基　　金：国家自然科学基金(62175059);河北省自然科学基金(F2018402285);河北省高等学校科学技术研究项目(QN2020426);邯郸市科学技术研究与发展计划(19422083008-69)。

摘　　要：提出了一种基于光强传输方程(TIE)的数字全息相位解调方法,并利用离散余弦变换进行了求解。仿真和实验结果表明,与传统的基于快速傅里叶变换的相位解调方法相比,该方法在没有损失精度的基础上加快了解包裹过程。此外,通过选择一个合适的延拓方案来计算强度的偏导数后,该方法的效率可进一步提高。提出的基于TIE的新型相位解调方法具有较高的处理速度和精度,可以实现相位测量的实时应用。This paper proposes a digital holographic phase demodulation approach based on the transport intensity equation(TIE),which is solved with a discrete cosine transform.Simulative and experimental findings reveal that the new approach successfully accelerates the unwrapping process with no loss of accuracy compared with the traditional approach based on fast Fourier transform.The new approaches’efficiency can still be enhanced after choosing a suitable extending scheme for the computation of the axis derivative of intensity.The proposed new TIEbased phase unwrapping approaches can lead to the realtime uses of the phase measurement with high processing speed and precision.

关 键 词：全息 光强传输方程 离散余弦变换 相位解调 数字全息 

分 类 号：O436[机械工程—光学工程]