## Phase retrieval in the Fresnel transform system: a recursive algorithm

JOSA A, Vol. 16, Issue 7, pp. 1827-1830 (1999)

http://dx.doi.org/10.1364/JOSAA.16.001827

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### Abstract

We first discuss the discrete Fresnel transform and present some essential properties. We then propose a recursive algorithm to implement phase retrieval from two intensities in the Fresnel transform domain. This approach can significantly simplify computational manipulations and does not need an initial phase value compared with conventional iterative algorithms. Simulation results show that this approach can successfully recover the phase from two intensities.

© 1999 Optical Society of America

**OCIS Codes**

(070.6020) Fourier optics and signal processing : Continuous optical signal processing

(100.3190) Image processing : Inverse problems

(100.5070) Image processing : Phase retrieval

**History**

Original Manuscript: November 9, 1998

Revised Manuscript: March 12, 1999

Manuscript Accepted: March 12, 1999

Published: July 1, 1999

**Citation**

Wen-Xiang Cong, Nan-Xian Chen, and Ben-Yuan Gu, "Phase retrieval in the Fresnel transform system: a recursive algorithm," J. Opt. Soc. Am. A **16**, 1827-1830 (1999)

http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-7-1827

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### References

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