Point Spread Functions of aberrated Leaky annular apertures with defect-of-focus

The point spread function of the optical system in the presence of defocus and primary spherical aberration with the complex Hanning filter with amplitude and phase has been investigated. A substantial improvement in the intensity profile of the impulse response of the optical system has been achieved. When the optical system is subjected to higher orders of aberration and apodization, the optical system behaves like a super-resolver with lateral resolution of the central peak being improved radically. The presence of first minima with zero intensity suits the optical system to be applied for two-point resolution studies in terms of Rayleigh criterion.