Vol. 28, Issue 3, pp. 257-259 (1998)

Abstract

In this paper, the Fourier transform of a spatially varying object for a lens and two lens systems is considered. As shown, the results of the Fourier transform depend on the relative positions of the input-output planes and the lens. Thus, the conventional Fourier transform can be extended to the fractional Fourier transform that corresponds to the amplitude distribution of the input signal whose Wigner distribution function shows a rotation of ϕ=Π/2 p , where p is the order of the fractional Fourier transform