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
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