Apodization for improving the two-point resolution of coherent optical systems with defect of focus

An amplitude apodization influenced defocused optical system used to form a coherent light illuminated two-point sources with an improved resolution is analyzed. The composite coherent image intensity distributions in the defocused and the Gaussian ( Y d = 0) planes have been calculated and compared. It has shown the resolution of the apodized optical system is significantly increased for an excessive amount of defocusing effect. As is clearly evidenced by the presence of irradiance dip in the resulting intensity profiles can describe the super-two-point resolution phenomena in a maximum defocused plane ( Y d = 2 π ).