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Proceedings Paper

Phase retrieval in arbitrarily shaped aperture with the transport-of-intensity equation
Author(s): Lei Huang; Chao Zuo; Mourad Idir; Weijuan Qu; Anand Asundi
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Paper Abstract

Phase is not easy to detect directly as intensity, but sometimes it contains the really desired information. The transport-of-intensity equation (TIE) is a powerful tool to retrieve the phase from the intensity. However, by considering the boundary energy exchange and the whole energy conversation in the field of view, the current popular Fast Fourier transform (FFT) based TIE solver can only retrieve the phase under homogeneous Neumann boundary condition. For many applications, the boundary condition could be more complex and general. A novel TIE phase retrieval method is proposed to deal with an optical field under a general boundary condition. In this method, an arbitrarily-shape hard aperture is added in the optical field. In our method, the TIE is solved by using iterative discrete cosine transforms (DCT) method, which contains a phase compensation mechanism to improve the retrieval results. The proposed method is verified in simulation with an arbitrary phase, an arbitrarily-shaped aperture, and non-uniform intensity distribution. Experiment is also carried out to check its feasibility and the method proposed in this work is very easy and straightforward to use in a practical measurement as a flexible phase retrieval tool.

Paper Details

Date Published: 12 March 2015
PDF: 12 pages
Proc. SPIE 9401, Computational Imaging XIII, 94010B (12 March 2015); doi: 10.1117/12.2087754
Show Author Affiliations
Lei Huang, Brookhaven National Lab. (United States)
Chao Zuo, Nanjing Univ. of Science and Technology (China)
Mourad Idir, Brookhaven National Lab. (United States)
Weijuan Qu, Ngee Ann Polytechnic (Singapore)
Anand Asundi, Nanyang Technological Univ. (Singapore)

Published in SPIE Proceedings Vol. 9401:
Computational Imaging XIII
Charles A. Bouman; Ken D. Sauer, Editor(s)

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