Abstract

The optical implementation of fractional Fourier transforms (FractFT’s) of different orders usually requires different geometric configurations. I obtain a scaling relation for optical implementation of the FractFt that allows one to do the 1/Q₁-order FractFT on the 1/Q-order optical FractFt setup, except for the usual Fourier transform. With the scaling relation, FractFt’s of different orders can be optically implemented simultaneously. The optical implementation of a FractFT in the frequency domain is also suggested.

© 1995 Optical Society of America

General optical implementations of fractional Fourier transforms

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