Study the effect of Gaussian Filter on Optical System that contains an Obscured Circular Synthetic Apertures

Abstract

In this research, the effect of Gaussian spatial filter which has coefficient of normative deviation (a) for different values (a=0.25,0.5,0.75,1) on point spread function (PSF) was studied by using MathCAD program, it has been derived point spread function for the ideal optical system or contain focus error (W20=0.25λ,0.5λ,0.75 λ),for set from circular synthetic apertures (N=4,8,12), the obscured ratio (ε= 0.25,0.5,0.75). The results showed that the high values of coefficient of normative deviation for Gaussian filter leads to decrease the intensity in the formed image by existence of obscured synthetic apertures. The increased apertures number, increase the intensity by the existence of Gaussian filter.