Imaging performance of annular apertures

An investigation is conducted of images which are formed by aberration free optical systems with annular apertures in the whole range of central obstructions ratios approaching 1.0. It was found that annular apertures form central and surrounding ring groups. The energy fractions in the central and surrounding ring groups do not decrease with increasing obstruction ratio, but remain constant for all obstruction ratios and for all fractional energy levels. Images formed by unobstructed apertures are quantitatively superior because they are smaller than those formed by annular apertures.