Hm. Ozaktas et D. Mendlovic, EVERY FOURIER OPTICAL-SYSTEM IS EQUIVALENT TO CONSECUTIVE FRACTIONAL-FOURIER-DOMAIN FILTERING, Applied optics, 35(17), 1996, pp. 3167-3170
We consider optical systems composed of an arbitrary number of lenses
and filters, separated by arbitrary distances, under the standard appr
oximations of Fourier optics. We show that every such system is equiva
lent to (i) consecutive filtering operations in several fractional Fou
rier domains and (ii) consecutive filtering operations alternately in
the space and the frequency domains. (C) 1996 Optical Society of Ameri
ca