Experimental considerations and scaling property of the fractional Fourier transform

Adolf W. Lohmann; Zeev Zalevsky; Rainer G. Dorsch; David Mendlovic

doi:10.1016/s0030-4018(97)00521-x

Experimental considerations and scaling property of the fractional Fourier transform

Adolf W. Lohmann, Zeev Zalevsky, Rainer G. Dorsch, David Mendlovic

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6 Scopus citations

Abstract

The fractional Fourier transform (FRT) is a mathematical operation which is useful in several branches of physics and signal processing. The FRT can be performed by a simple optical experiment. The FRT reacts in a somewhat complicated manner to a shift or to a scale change of the input. Likewise, a scaling change of the experimental parameters (wavelength, focal lengths) means a non-trivial change of the associated FRT. We study the scaling behavior of the FRT mainly from the experimentalists point of view. Some computer simulations illustrate our conclusions. A theoretical comment: The FRT is a two-parameter family of transformations.

Original language	English
Pages (from-to)	55-61
Number of pages	7
Journal	Optics Communications
Volume	146
Issue number	1-6
DOIs	https://doi.org/10.1016/s0030-4018(97)00521-x
State	Published - 15 Jan 1998
Externally published	Yes

Bibliographical note

Funding Information:
A. Lohmann gratefully acknowledges support by the Erna and Jacob Michael Foundation of the Weizmann Institute of Science. R.G. Dorsch and A. Lohmann were on leave from Erlangen University, Physikalisches Institute.

Funding

A. Lohmann gratefully acknowledges support by the Erna and Jacob Michael Foundation of the Weizmann Institute of Science. R.G. Dorsch and A. Lohmann were on leave from Erlangen University, Physikalisches Institute.

Funders	Funder number
Erna and Jacob Michael Foundation of the Weizmann Institute of Science

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AU - Zalevsky, Zeev

AU - Dorsch, Rainer G.

AU - Mendlovic, David

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Experimental considerations and scaling property of the fractional Fourier transform

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