Abstract

Mirrors with amplitude point-spread functions that exhibit wavelet-related characteristics are profiled by the method of stationary points and the method of Fresnel zones. The unknown optical path function ϕ(r) of the diffraction integral is reconstructed from its stationary points, which are identified from locations where the pupil function of the optical system is an extremum. The ϕ(r) that describes the paths taken by the light from the point source to the observation plane via the reflecting surface is used as a constraint in the procedure. In particular, circular distributions of the Mexican-hat wavelet and the Fourier transform of the Haar wavelet are considered for the point-spread functions.

© 1995 Optical Society of America

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