La abertura de una lente, su efecto en el espectro de difracción convolutivo, frecuencia espacial y viñeteado

Abstract

We present two diffraction models considering spatial frequencies, one paraxial and the other non-paraxial, to study the effect of the finite aperture of a lens used as transformer of the diffracted light. We use concepts of both geometrical and physical optics as the propagation of the angular spectrum as a convolved diffracted field of monochromatic waves. The analysis is based on the propagation of a diffracted monochromatic electric field produced by an object, located in a perpendicular plane to the propagation path, and placed at a finite distance of a transformer lens. We obtained a set of equations for the paraxial and maximum spatial frequencies accepted by the entrance pupil, associated to the lens, with respect to the size of the diffracting object, in order to reduced the vignetting.