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Volume 38 Issue 4
May  2014
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Research of phase retrieval based on multi-face circulatory Gerchberg-Saxton algorithm

  • Received Date: 2013-06-25
    Accepted Date: 2013-10-11
  • To avoid the problem that traditional Gerchberg-Saxton (GS) algorithm was easy to get into a partial extremum and could not achieve the desired accuracy, a simple circulatory GS algorithm was used by increasing the amount of information, in another words, increasing one plane so that the GS algorithm could get out of the partial extremum effectively. After the simulative calculation, the phase and amplitude distribution of pupil plane was recovered by the intensity information of the focal plane or nearby position although the amplitude of pupil plane was unknown. The results show that the new algorithm can reach higher accuracy of phase retrieval and lead to precise retrieval of optical field on any planes.
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    GERCHBERG R W, SAXTON W O.A practical algorithm for determination of phase from image and diffraction plane pictures[J]. Optik, 1972, 35(2):275-284.
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    HUANG L X, YAO X, CAI D M, et al.A high accuracy and fast iterative algorithm for phase retrieval[J].Chinese Journal of Lasers, 2010, 37(5):1218-1221(in Chinese).
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    BRADY G R, FIENUP J R. Nonlinear optimization algorithm for retrieving the full complex pupil function[J]. Optics Express, 2006, 14(2):474-486.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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Research of phase retrieval based on multi-face circulatory Gerchberg-Saxton algorithm

  • 1. Division, 69213 Unit, Chinese People's Liberation Army, Kashi 844900, China

Abstract: To avoid the problem that traditional Gerchberg-Saxton (GS) algorithm was easy to get into a partial extremum and could not achieve the desired accuracy, a simple circulatory GS algorithm was used by increasing the amount of information, in another words, increasing one plane so that the GS algorithm could get out of the partial extremum effectively. After the simulative calculation, the phase and amplitude distribution of pupil plane was recovered by the intensity information of the focal plane or nearby position although the amplitude of pupil plane was unknown. The results show that the new algorithm can reach higher accuracy of phase retrieval and lead to precise retrieval of optical field on any planes.

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