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.
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