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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 17, Iss. 1 — Jan. 1, 2000
  • pp: 46–52

Phase reconstruction from undersampled intensity patterns

Gonzalo Paez and Marija Strojnik  »View Author Affiliations


JOSA A, Vol. 17, Issue 1, pp. 46-52 (2000)
http://dx.doi.org/10.1364/JOSAA.17.000046


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Abstract

We demonstrate the uniqueness and convergence of phase recovery from high-spatial-frequency and undersampled intensity data. Furthermore, this is accomplished without the ambiguities that arise in phase unwrapping and without the need to employ a priori information. The method incorporates the technique of line integration of the phase gradient to find the first approximation to the phase and the algorithm of synthetic interferograms to find the unknown phase with high accuracy. The method may be used with any experimental method that at a certain data processing step obtains generalized sine and cosine intensity functions.

© 2000 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(100.6640) Image processing : Superresolution
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(220.1250) Optical design and fabrication : Aspherics
(220.4840) Optical design and fabrication : Testing

History
Original Manuscript: December 10, 1998
Revised Manuscript: September 3, 1999
Manuscript Accepted: April 12, 1999
Published: January 1, 2000

Citation
Gonzalo Paez and Marija Strojnik, "Phase reconstruction from undersampled intensity patterns," J. Opt. Soc. Am. A 17, 46-52 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-1-46


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References

  1. G. Páez, M. Strojnik Scholl, “Thermal contrast detected with a thermal detector,” Infrared Phys. Technol. 40, 109–116 (1999). [CrossRef]
  2. G. Paez, M. Strojnik Scholl, “Thermal contrast detected with a quantum detector,” Infrared Phys. Technol. 40, 261–265 (1999). [CrossRef]
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  11. M. Strojnik, G. Paez, “Testing the aspherical surfaces with the differential rotational-shearing interferometer,” in Fabrication and Testing of Aspherics, Vol. 24 of OSA Trends in Optics and Photonics Series (Optical Society of America, Washington, D.C., 1999), pp. 119–123.
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