Abstract

A function that is its own Fourier transform is coined a self-Fourier function. The complete set of self-Fourier functions has been recently defined by Caola [J. Phys. A: Math. Nucl. Gen. 24, L1143– L1144 (1991)]. We study the behavior of a self-Fourier function as a self-imaging function. The space–bandwidth product of these functions is studied. An illustration of a self-Fourier function that was a Wigner distribution function is given. Some experimental results are also presented.

© 1994 Optical Society of America

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