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《Acta Optica Sinica》 2010-01
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A Novel Algorithm for Phase Retrieval from a Single Carrier-Frequency Fringe Pattern

Xiong Liudong Jia Shuhai Du Yanfen(Department of Optical Information Science and Technology,Xi'an Jiaotong University,Xi'an,Shaanxi 710049,China)  
A rapid and precise algorithm without phase unwrapping for phase retrieval from a single carrier-frequency fringe pattern is proposed.The algorithm first gains sinusoidal component and cosine component of the fringe pattern by Hilbert transform twice,and then phase is retrieved by the line integral of its gradient calculated by the sinusoidal and cosine components.The performance of the proposed method is evaluated by computer simulation and experiment.The phase error from phase unwrapped by Fourier transform is avoided.The algorithm is simple and insensitive to the shadow and discontinuous region.
【Fund】: 国家自然科学基金(10477015);; 教育部新世纪优秀人才支持计划(NCET-05-0843)资助课题
【CateGory Index】: TP391.41
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