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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 7 — Apr. 2, 2007
  • pp: 3766–3776

Signal reconstruction algorithm based on a single intensity in the Fresnel domain

Hone-Ene Hwang and Pin Han  »View Author Affiliations


Optics Express, Vol. 15, Issue 7, pp. 3766-3776 (2007)
http://dx.doi.org/10.1364/OE.15.003766


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Abstract

A novel algorithm that can reconstruct a symmetrical signal (both the amplitude and the phase information) with only a single Fresnel transform intensity is proposed. A new complex-convolution method is introduced, which is needed in the algorithm. The essential properties of the discrete Fresnel transform are presented as well. Numerical results show that this method can successfully rebuild the signal from one signal intensity, which is more advantageous in speed and efficiency than the conventional method that requires two intensities to accomplish this task.

© 2007 Optical Society of America

OCIS Codes
(070.4560) Fourier optics and signal processing : Data processing by optical means
(100.2000) Image processing : Digital image processing
(200.4740) Optics in computing : Optical processing

ToC Category:
Fourier Optics and Optical Signal Processing

History
Original Manuscript: January 31, 2007
Revised Manuscript: March 23, 2007
Manuscript Accepted: March 23, 2007
Published: April 2, 2007

Citation
Hone-Ene Hwang and Pin Han, "Signal reconstruction algorithm based on a single intensity in the Fresnel domain," Opt. Express 15, 3766-3776 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-7-3766


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References

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