A. Sahin et al., OPTICAL IMPLEMENTATION OF THE 2-DIMENSIONAL FRACTIONAL FOURIER-TRANSFORM WITH DIFFERENT ORDERS IN THE 2 DIMENSIONS, Optics communications, 120(3-4), 1995, pp. 134-138
Previous optical implementations of the two-dimensional fractional Fou
rier transform have assumed identical transform orders in both dimensi
ons. We let the orders in the two orthogonal dimensions to be differen
t and present general design formulae for optically implementing such
transforms. This design formulae allows us to specify the two orders a
nd the input, output scale parameters simultaneously.