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Optics Letters

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  • Editor: Alan E. Willner
  • Vol. 38, Iss. 10 — May. 15, 2013
  • pp: 1660–1662

Accelerated single-beam wavefront reconstruction techniques based on relaxation and multiresolution strategies

Konstantinos Falaggis, Tomasz Kozacki, and Malgorzata Kujawinska  »View Author Affiliations


Optics Letters, Vol. 38, Issue 10, pp. 1660-1662 (2013)
http://dx.doi.org/10.1364/OL.38.001660


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Abstract

A previous Letter by Pedrini et al. [Opt. Lett. 30, 833 (2005)] proposed an iterative single-beam wavefront reconstruction algorithm that uses a sequence of interferograms recorded at different planes. In this Letter, the use of relaxation and multiresolution strategies is investigated in terms of accuracy and computational effort. It is shown that the convergence rate of the conventional iterative algorithm can be significantly improved with the use of relaxation techniques combined with a hierarchy of downsampled intensities that are used within a preconditioner. These techniques prove to be more robust, to achieve a higher accuracy, and to overcome the stagnation problem met in the iterative wavefront reconstruction.

© 2013 Optical Society of America

OCIS Codes
(090.0090) Holography : Holography
(100.5070) Image processing : Phase retrieval
(070.7345) Fourier optics and signal processing : Wave propagation

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: January 28, 2013
Revised Manuscript: April 12, 2013
Manuscript Accepted: April 16, 2013
Published: May 10, 2013

Citation
Konstantinos Falaggis, Tomasz Kozacki, and Malgorzata Kujawinska, "Accelerated single-beam wavefront reconstruction techniques based on relaxation and multiresolution strategies," Opt. Lett. 38, 1660-1662 (2013)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-38-10-1660


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References

  1. P. F. Almoro, G. Pedrini, P. N. Gundu, W. Osten, and S. G. Hanson, Opt. Lasers Eng. 49, 252 (2011). [CrossRef]
  2. G. Pedrini, W. Osten, and Y. Zhang, Opt. Lett. 30, 833 (2005). [CrossRef]
  3. P. F. Almoro, L. Waller, M. Agour, C. Falldorf, G. Pedrini, W. Osten, and S. G. Hanson, Opt. Lett. 37, 2088 (2012). [CrossRef]
  4. V. A. Soifer, Methods for Computer Design of Diffractive Optical Elements (Wiley, 2002).
  5. G. Strang, Computational Science and Engineering(Wellesley-Cambridge, 2007).
  6. T. Kozacki, K. Falaggis, and M. Kujawinska, Appl. Opt. 51, 7080 (2012). [CrossRef]

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