Abstract

We find a pupil function and the corresponding diffraction pattern, formed by a point-source object on the axis of a rotationally symmetric optical system, that has the maximum possible central irradiance in the class of all pupil functions that have the same Rayleigh limit of resolution, specified in advance at a value between 100 and 134% of that for the classical Airy-type objective. Between 134 and 183% there is no maximum, but we do find the least upper bound.

© 1983 Optical Society of America

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