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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 52, Iss. 1 — Jan. 1, 2013
  • pp: A269–A280

Phase retrieval in 4f optical system: background compensation and sparse regularization of object with binary amplitude

Artem Migukin, Mostafa Agour, and Vladimir Katkovnik  »View Author Affiliations

Applied Optics, Vol. 52, Issue 1, pp. A269-A280 (2013)

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Generally, wave field reconstructions obtained by phase-retrieval algorithms are noisy, blurred, and corrupted by various artifacts such as irregular waves, spots, etc. These distortions, arising due to many factors, such as nonidealities of the optical system (misalignment, focusing errors), dust on optical elements, reflections, and vibration, are hard to localize and specify. It is assumed that there is a cumulative disturbance called “background,” which describes mentioned distortions in the coherent imaging system manifested at the sensor plane. Here we propose a novel iterative phase-retrieval algorithm compensating for these distortions in the optical system. An estimate of this background is obtained via special calibration experiments, and then it is used for the object reconstruction. The algorithm is based on the maximum likelihood approach targeting on the optimal object reconstruction from noisy data and imaging enhancement using a priori information on the object amplitude. In this work we demonstrate the compensation of the distortions of the optical trace for a complex-valued object with a binary amplitude. The developed algorithm results in state-of-the-art filtering, and sharp reconstruction imaging of the object amplitude can be achieved.

© 2012 Optical Society of America

OCIS Codes
(030.4280) Coherence and statistical optics : Noise in imaging systems
(050.1960) Diffraction and gratings : Diffraction theory
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval
(070.2025) Fourier optics and signal processing : Discrete optical signal processing

Original Manuscript: July 23, 2012
Revised Manuscript: October 18, 2012
Manuscript Accepted: October 18, 2012
Published: November 28, 2012

Artem Migukin, Mostafa Agour, and Vladimir Katkovnik, "Phase retrieval in 4f optical system: background compensation and sparse regularization of object with binary amplitude," Appl. Opt. 52, A269-A280 (2013)

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