Abstract
During the multi-image phase recovery process, most existing methods can carry out phase recovery only between pure phase distribution. In the field of optics, liquid crystal spatial light modulator (LC-SLM) has the potential to simulate lenses with different focal lengths, which solves the problems of time-consuming and human errors in the device adjustment of the multi-image phase recovery algorithm. These abilities raise the following questions: Combining the automation features of LC-SLM with the new complex amplitude recovery method, can the reconstructed amplitudes have higher contrast and clearer phase details? To solve these problems, on the basics of LC-SLM, iterative multiple focus (IMF) was applied to reconstruct the original image's complex amplitude distribution. Verification of four datasets from different types was performed. The results demonstrated that by applying the high convergence speed and high recovery accuracy of the IMF algorithm, the method proposed in this paper could be well applied to medical image detection and other aspects.
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References
D.J. Field, D.M. Chandler, Method for estimating the relative contribution of phase and power spectra to the total information in natural-scene patches. JOSA A 29, 55–67 (2012)
L. Waller, M. Tsang, S. Ponda, S.Y. Yang, G. Barbastathis, Phase and amplitude imaging from noisy images by Kalman filtering. Opt. Expr. 19, 2805–2815 (2011)
G. Popescu, T. Ikeda, R.R. Dasari, M.S. Feld, Diffraction phase microscopy for quantifying cell structure and dynamics. Opt. Lett. 31, 775–777 (2006)
P. Liu, J. Yan, H. Hao, Y.K. Wu, Phase retrieval for short wavelength orbital angular momentum beams using knife-edge diffraction. Opt. Commun. 365, 126077 (2020)
Z. Liu, C. Guo, J. Tan, W. Liu, J. Wu, Q. Wu, L. Pan, S. Liu, Securing color image by using phase-only encoding in Fresnel domains. Opt. Lasers Eng. 68, 87–92 (2015)
Z. Liu, C. Shen, J. Tan, S. Liu, A recovery method of double random phase encoding system with a parallel phase retrieval. IEEE Photonics J. 8, 1–7 (2016)
Y. Yu, J.-P. Huang, J. Zhu, S.-L. Liang, An accurate noninvasive blood glucose measurement system using portable near-infrared spectrometer and transfer learning framework. IEEE Sensors J 6, 541 (2020)
M. Mir, B. Bhaduri, R. Wang, R. Zhu, G. Popescu, Quantitative phase imaging. Prog. Opt. 57, 133–217 (2012)
R.W. Gerchberg, A practical algorithm for the determination of phase from image and diffraction plane pictures. Optik 35, 237–246 (1972)
J.R. Fienup, Phase retrieval algorithms: a comparison. Appl. Opt. 21, 2758–2769 (1982)
V. Elser, Phase retrieval by iterated projections. JOSA A 20, 40–55 (2003)
D.R. Luke, Relaxed averaged alternating reflections for diffraction imaging. Inverse Prob. 21, 37 (2004)
J.A. Rodriguez, R. Xu, C.-C. Chen, Y. Zou, J. Miao, Oversampling smoothness: an effective algorithm for phase retrieval of noisy diffraction intensities. J. Appl. Crystallogr. 46, 312–318 (2013)
G. Pedrini, W. Osten, Y. Zhang, Wave-front reconstruction from a sequence of interferograms recorded at different planes. Opt. Lett. 30, 833–835 (2005)
Z. Liu, C. Guo, J. Tan, Q. Wu, L. Pan, S. Liu, Iterative phase-amplitude retrieval with multiple intensity images at output plane of gyrator transforms. J. Opt. 17, 025701 (2015)
H. Cheng, Q. Lv, S. Wei, H. Deng, Y. Gao, Rapid phase retrieval using SLM based on transport of intensity equation. Infrared Laser Eng. 41, 657 (2018)
M.R. Teague, Deterministic phase retrieval: a Green’s function solution. JOSA 73, 1434–1441 (1983)
T. Francis, S. Jutamulia, S. Yin, Introduction to information optics (Elsevier, Amsterdam, 2001)
B. Villalobos-Mendoza, F. Granados-Agustin, D. Aguirre-Aguirre, and A. Cornejo-Rodriguez, "Obtaining the curve “phase shift vs gray level” of a spatial light modulator Holoeye LC2012," in J. Phys. Conf. Ser., 2015), 012016.
C. Shen, J. Tan, C. Wei, Z. Liu, Coherent diffraction imaging by moving a lens. Opt. Expr. 24, 16520–16529 (2016)
L. Zhang, L. Zhang, X. Mou, D. Zhang, FSIM: a feature similarity index for image quality assessment. IEEE Trans. Image Process. 20, 2378–2386 (2011)
E. Huggins, Introduction to Fourier optics. The Physics Teacher 45, 364–368 (2007)
Acknowledgements
The authors would like to thank Cheng Guo from the Engineering Center of Ultra-Precision Optoelectronic Instrument of Harbin Institute of Technology for his technical support.
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Program for Science and Technology Development of Changchun City (18YJ014); Fundamental Research Funds for the Central Universities (2412019FZ035).
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Yu, Y., Li, N., Huang, J. et al. A high-efficiency complex amplitude recovery method based on iterative multiple focus. Eur. Phys. J. Plus 137, 556 (2022). https://doi.org/10.1140/epjp/s13360-022-02730-7
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DOI: https://doi.org/10.1140/epjp/s13360-022-02730-7