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Phase retrieval at all defocus distances

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Abstract

Phase retrieval is to calculate the phase from the direct information of the intensity of focus and defocus. Classical methods include the phase retrieval algorithm based on the transport of intensity equation (TIE) and iteration. The phase retrieval algorithm based on TIE can directly obtain the absolute phase without reference beam and phase unwrapping but is sensitive to noise. On the other hand, the intensity difference method needs to be used to approximate the intensity differential when solving the algorithm. Therefore, the defocus distance between intensity images has great influence on the accuracy of retrieval results. The phase retrieval algorithm based on TIE will be limited if it is extended to the phase retrieval of large objects. In order to widen its application range, an adaptive phase retrieval algorithm based on convolutional neural network under all defocus distances is proposed. The new algorithm consists of two important components: phase retrieval algorithm module and convolutional neural network optimization module. Firstly, the preliminary retrieval results are obtained by the phase retrieval algorithm module at different defocus distances, and then the accuracy of the results is further improved by the convolutional neural network module. The experimental results illustrate that the proposed algorithm is not only suitable for different defocus distances but also has good accuracy and stability.

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Funding

Natural Science Project of Anhui Higher Education Institutions of China (No.KJ2020ZD02, KJ2019ZD04), Natural Science Foundation of Anhui Province, China (No. 2008085MF209).

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Authors and Affiliations

  1. National Engineering Research Center for Agro-Ecological Big Data Analysis & Application, School of Electronics and Information Engineering, Anhui University, Hefei, 230601, China

    Hong Cheng, Xiaotian Zhu, Yong Liu, Li Wang, Yi Wu & Chuan Shen

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  1. Hong Cheng
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  2. Xiaotian Zhu
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  3. Yong Liu
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  4. Li Wang
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  5. Yi Wu
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  6. Chuan Shen
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Correspondence to Hong Cheng.

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Cheng, H., Zhu, X., Liu, Y. et al. Phase retrieval at all defocus distances. J Opt 51, 184–193 (2022). https://doi.org/10.1007/s12596-021-00753-4

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