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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 44, Iss. 1 — Jan. 1, 2005
  • pp: 55–57

Comment on “Redundancy of phase-space distribution functions in complex field recovery problems”

Markus Testorf  »View Author Affiliations


Applied Optics, Vol. 44, Issue 1, pp. 55-57 (2005)
http://dx.doi.org/10.1364/AO.44.000055


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Abstract

In a recent publication [ Appl. Opt. 42, 1932 ( 2003)], redundancies of phase-space representations were studied. In particular, signal recovery from a single section of the ambiguity function was explored. It is shown that this signal-recovery method can be associated with interferometry.

© 2005 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(100.0100) Image processing : Image processing
(100.3010) Image processing : Image reconstruction techniques
(110.0110) Imaging systems : Imaging systems
(110.6960) Imaging systems : Tomography

History
Original Manuscript: March 17, 2004
Revised Manuscript: July 28, 2004
Manuscript Accepted: August 16, 2004
Published: January 1, 2005

Citation
Markus Testorf, "Comment on “Redundancy of phase-space distribution functions in complex field recovery problems”," Appl. Opt. 44, 55-57 (2005)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-44-1-55


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References

  1. K. Vogel, H. Risken, “Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase,” Phys. Rev. A 40, 2847–2849 (1989). [CrossRef] [PubMed]
  2. M. G. Raymer, M. Beck, D. F. McAlister, “Complex wave-field reconstruction using phase-space tomography,” Phy. Rev. Lett. 72, 1137–1140 (1994). [CrossRef]
  3. D. Dragoman, M. Dragoman, K.-H. Brenner, “Tomographic amplitude and phase recovery of vertical-cavity surface-emitting lasers by use of the ambiguity function,” Opt. Lett. 27, 1519–1521 (2002). [CrossRef]
  4. D. Dragoman, “Redundancy of phase-space distribution functions in complex field recovery problems,” Appl. Opt. 42, 1932–1937 (2003). [CrossRef] [PubMed]
  5. T. Alieva, M. Bastiaans, L. Stanković, “Signal reconstruction from two close fractional Fourier power spectra,” IEEE Trans. Signal Process. 51, 112–123 (2003). [CrossRef]
  6. A. Semichaevsky, M. Testorf, “Phase-space interpretation of deterministic phase retrieval,” J. Opt. Soc. Am A 21, 2173–2179 (2004). [CrossRef]
  7. D. Malacara, M. Servín, Z. Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker, New York, 1998), Chap. 1.6, pp. 13–21.
  8. C. Elster, “Exact two-dimensional wave-front reconstruction from lateral shearing interferograms with large shears,” Appl. Opt. 39, 5353–5359 (2000). [CrossRef]

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