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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 35, Iss. 20 — Jul. 10, 1996
  • pp: 3925–3929

Optical illustration of a varied fractional Fourier-transform order and the Radon–Wigner display

David Mendlovic, Rainer G. Dorsch, Adolf W. Lohmann, Zeev Zalevsky, and Carlos Ferreira  »View Author Affiliations


Applied Optics, Vol. 35, Issue 20, pp. 3925-3929 (1996)
http://dx.doi.org/10.1364/AO.35.003925


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Abstract

Based on an all-optical system, a display of a fractional Fourier transform with many fractional orders is proposed. Because digital image-processing terminology is used, this display is known as the Radon–Wigner transform. It enables new aspects for signal analysis that are related to time- and spatial-frequency analyses. The given approach for producing this display starts with a one-dimensional input signal although the output signal contains two dimensions. The optical setup for obtaining the fractional Fourier transform was adapted to include only fixed free-space propagation distances and variable lenses. With a set of two multifacet composite holograms, the Radon–Wigner display has been demonstrated experimentally.

© 1996 Optical Society of America

History
Original Manuscript: March 20, 1995
Revised Manuscript: February 21, 1996
Published: July 10, 1996

Citation
David Mendlovic, Rainer G. Dorsch, Adolf W. Lohmann, Zeev Zalevsky, and Carlos Ferreira, "Optical illustration of a varied fractional Fourier-transform order and the Radon–Wigner display," Appl. Opt. 35, 3925-3929 (1996)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-35-20-3925

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