Abstract

By definition, a self-reciprocal (SR) function is its own Fourier or Hankel transform. Areas of application of SR functions, including Fourier optics, are noted. Integral representations for SR functions are obtained and are illustrated with the exponential Fourier transformation on the half-line. It is pointed out that there are a large number of classes of SR functions, and examples of these functions are given.

© 1994 Optical Society of America

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