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
Original Manuscript: June 28, 1995
Published: December 1, 1995
Zhiping Jiang, "Scaling law and simultaneous optical implementation of various order fractional Fourier transforms," Opt. Lett. 20, 2408-2410 (1995)