Volume 48 Issue 6
Jul.  2019
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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

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

doi: 10.3788/IRLA201948.0603018
  • Received Date: 2019-01-11
  • Rev Recd Date: 2019-02-21
  • Publish Date: 2019-06-25
  • 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.
  • [1] Teague M R. Deterministic phase retrieval:a Green's function solution[J]. Journal of Optical Society of America, 1983, 73(11):1434-1441.
    [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 color-multiplexed 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 off-axis holograms[J]. Applied Optics, 1999, 38(34):6994-7001.
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Phase retrieval technology based on chromatic dispersion and transport of intensity equation in lens model

doi: 10.3788/IRLA201948.0603018
  • 1. School of Electronics and Information Engineering,Anhui University,Hefei 230039,China

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.

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