透镜模型下基于色散和强度传输方程的相位恢复技术
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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。
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.
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.
引文
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[4]Cheng Hong,Lv Qianqian,Wei Sui,et al.Rapid phase retrieval using SLM based on transport of intensity equation[J].Infrared and Laser Engineering,2018,47(7):0722003.(in Chinese)
[5]Gureyev T E,Paganin D M,Stevenson A W,et al.Generalized eikonal of partially coherent beams and its use in quantitative imaging[J].Physical Review Letters,2004,93(6):068103.
[6]Laura Waller,Kou S S,Sheppard C J.Phase from chromatic aberrations[J].Optics Express,2010,18(22):22817-22825.
[7]Cheng Hong,Wei Sui,Zhang Wei,et al.Phase retrieval in lens-based Fresnel wave propagation model[J],Optical Engineering,2013,52(7):074102.
[8]Cheng Hong,Xiong Bangling,Wang Jincheng,et al.Phase retrieval based on registration progressive compensation algorithm[J].Acta Photonica Sinica,2019,48(4):0410002.(in Chinese)
[9]Sun Jiasong,Chen Qian,Zhang Jialin,et al.Single-shot quantitative phase microscopy based on colormultiplexed Fourier ptychography[J].Optics Letters,2018,43(14):003365.
[10]Li Jiaji,Chen Qian,Sun Jiasong,et al.Multimodal computational microscopy based on transport of intensity equation[J].Journal of Biomedical Optics,2016,21(12):126003.
[11]Cheng Hong,Deng Huilong,Shen Chuan,et al.Phase retrieval based on transport of intensity equation and image interpolation[J].Infrared and Laser Engineering,2018,47(10):1026003.
[12]Cuche E,Marquet P,Depeursinge C.Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel offaxis holograms[J].Applied Optics,1999,38(34):6994-7001.
[2]Laura Waller,Luo Yuan,Se Youngyang,et al.Transport of intensity phase imaging in a volume holographic microscope[J].Optics Letters,2010,35(17):2961-2963.
[3]Zuo Chao,Chen Qian,Qu Weijuan,et al.Noninterferometric single-shot quantitative phase microscopy with an electrically tunable lens[J].Optics Express,2013,21(20):24060-24075.
[4]Cheng Hong,Lv Qianqian,Wei Sui,et al.Rapid phase retrieval using SLM based on transport of intensity equation[J].Infrared and Laser Engineering,2018,47(7):0722003.(in Chinese)
[5]Gureyev T E,Paganin D M,Stevenson A W,et al.Generalized eikonal of partially coherent beams and its use in quantitative imaging[J].Physical Review Letters,2004,93(6):068103.
[6]Laura Waller,Kou S S,Sheppard C J.Phase from chromatic aberrations[J].Optics Express,2010,18(22):22817-22825.
[7]Cheng Hong,Wei Sui,Zhang Wei,et al.Phase retrieval in lens-based Fresnel wave propagation model[J],Optical Engineering,2013,52(7):074102.
[8]Cheng Hong,Xiong Bangling,Wang Jincheng,et al.Phase retrieval based on registration progressive compensation algorithm[J].Acta Photonica Sinica,2019,48(4):0410002.(in Chinese)
[9]Sun Jiasong,Chen Qian,Zhang Jialin,et al.Single-shot quantitative phase microscopy based on colormultiplexed Fourier ptychography[J].Optics Letters,2018,43(14):003365.
[10]Li Jiaji,Chen Qian,Sun Jiasong,et al.Multimodal computational microscopy based on transport of intensity equation[J].Journal of Biomedical Optics,2016,21(12):126003.
[11]Cheng Hong,Deng Huilong,Shen Chuan,et al.Phase retrieval based on transport of intensity equation and image interpolation[J].Infrared and Laser Engineering,2018,47(10):1026003.
[12]Cuche E,Marquet P,Depeursinge C.Simultaneous amplitude-contrast and quantitative phase-contrast microscopy by numerical reconstruction of Fresnel offaxis holograms[J].Applied Optics,1999,38(34):6994-7001.