title: Scalar and electromagnetic diffraction point-spread functions.
abstract: We describe an accurate technique for computing the diffraction point-spread function for optical systems. The approach is based on the combined method of ray tracing and diffraction, which implies that the computation is accomplished in a two-step procedure. First, ray tracing is employed to compute the wave-front error in a reference plane on the image side of the system and to determine the shape of the vignetted pupil. Next the Rayleigh-Sommerfeld diffraction theory, combined with the Kirchhoff approximation and the Stamnes-Spjelkavik-Pedersen method for numerical integration, is applied to compute the field in the region of the image. The method does not rely on small-angle approximations and works well for a pupil of general shape. Both scalar and electromagnetic computations are discussed and numerical results are presented.
authors.affiliation: Department of Physics, University of Bergen, N-5007 Bergen, Norway.
authors.forename: J J
authors.initials: JJ
authors.lastname: Stamnes
authors.forename: H
authors.initials: H
authors.lastname: Heier