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
John N. Kibe and J. Ernest Wilkins, Jr., "Apodization for maximum central irradiance and specified large Rayleigh limit of resolution," J. Opt. Soc. Am. 73, 387-391 (1983)