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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 11 — Apr. 10, 1998
  • pp: 2142–2144

Proposal for optical implementation of the Wigner distribution function

Gal Shabtay, David Mendlovic, and Zeev Zalevsky  »View Author Affiliations


Applied Optics, Vol. 37, Issue 11, pp. 2142-2144 (1998)
http://dx.doi.org/10.1364/AO.37.002142


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Abstract

The Wigner distribution function (WDF) offers comprehensive insight into a signal, for it employs both space (or time) and frequency simultaneously. Whenever optical signals are involved, the importance of the WDF is significantly higher because of the diffraction (or dispersion) behavior of optical signals. Novel optical implementations of the WDF and of the inverse Wigner transform are proposed. Both implementations are based on bulk optics elements incorporating joint transform correlator architecture. A similar implementation is derived for the ambiguity function, which is related to the WDF through Fourier transformation.

© 1998 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.4790) Fourier optics and signal processing : Spectrum analysis
(070.6020) Fourier optics and signal processing : Continuous optical signal processing

History
Original Manuscript: September 2, 1997
Revised Manuscript: December 17, 1997
Published: April 10, 1998

Citation
Gal Shabtay, David Mendlovic, and Zeev Zalevsky, "Proposal for optical implementation of the Wigner distribution function," Appl. Opt. 37, 2142-2144 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-11-2142

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