Lm. Bernardo et Odd. Soares, FRACTIONAL FOURIER-TRANSFORMS AND IMAGING, Journal of the Optical Society of America. A, Optics, image science,and vision., 11(10), 1994, pp. 2622-2626
The characteristics and properties of fractional Fourier transforms of
an arbitrary degree, as implemented by a lens system, are presented.
We describe the perfect imaging process and implement it by cascading
a set of appropriate fractional-Fourier-transform elementary units of
integer and/or fractional degree, forming generalized afocal systems.