Mirrors with point-spread functions that exhibit wavelet-related characteristics.
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 phi(r) of the diffraction integral is reconstructed from its stationary points, which are identif ied from locations where the pupil function of the optical system is an extremum. The phi(r) that describes the paths taken by the light from the point source to the observation plane via the ref lecting 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.
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