## Noniterative two-dimensional phase-retrieval method from two Fourier intensities by use of an exponential filter

Applied Optics, Vol. 42, Issue 14, pp. 2492-2497 (2003)

http://dx.doi.org/10.1364/AO.42.002492

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### Abstract

A noniterative method of retrieving the two-dimensional phase of a wave field from two intensity measurements is proposed. In the measurements, one records two far-field intensities of the wave field modulated and unmodulated with an exponential filter. The phase retrieval method is based on the solution of the simultaneous equations with unknown coefficients of the two-dimensional discrete Fourier transform for the phase. Then there is no need for the information about the wave field, which is used in iterative phase-retrieval methods. The usefulness of this method is shown in computer-simulated examples of the reconstruction of two-dimensional complex amplitude objects.

© 2003 Optical Society of America

**OCIS Codes**

(100.0100) Image processing : Image processing

(100.5070) Image processing : Phase retrieval

**History**

Original Manuscript: September 20, 2002

Revised Manuscript: February 24, 2003

Published: May 10, 2003

**Citation**

Nobuharu Nakajima, "Noniterative two-dimensional phase-retrieval method from two Fourier intensities by use of an exponential filter," Appl. Opt. **42**, 2492-2497 (2003)

http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-42-14-2492

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