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

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 spa...

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Bibliographic Details
Published in:Applied optics (2004) 1996-07, Vol.35 (20), p.3925-3929
Main Authors: Mendlovic, D, Dorsch, R G, Lohmann, A W, Zalevsky, Z, Ferreira, C
Format: Article
Language:English
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Summary: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.
ISSN:1559-128X
DOI:10.1364/AO.35.003925