DIFFRACTION PATTERN ANALYSIS OF A RECTANGULAR APERTURE IN THE PRESENCE OF ABERRATIONS. PART 2. THE DIFFRACTION PATTERN IN THE PRESENCE OF SINGLE THIRD- ORDER ABERRATIONS. 1. THE EFFECT OF PRIMARY ASTIGMATISM,

Abstract

On the basis of the general solution of the diffraction integral for a rectangular aperture in the presence of geometrical-optical aberrations, the effect of primary astigmatism upon the diffraction pattern intensity distribution is discussed. The diffraction pattern of a stationary ectangular aperture is described by means of a conveniently chosen Cartesian reference system. Two orthogonal aperture orientations are considered and it is shown that the intensity disribution depends on the orientation of the aperture's symmetry axes with respect to the meridional plane defined by the optical axis and the geometrical image point. The intensity distributions in special cases of interest are indicated for each of the two aperture orientations. A general expression is derived for the diffraction-pattern intensity distribution in the rotatingcartesian reference coordinate system, and its mean value is obtained throughout half a slit revolution by integration. Special cases of interest are indicated. The over-all diffraction-pattern intensity distribution of the rotating aperture is determined with respect to a space-fixed coordinate system. The accumulated intensity at any arbitrary point of a space-fixed observation plane, as experienced by a photo graphic plate, may be obtained by integration.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1963
Accession Number
AD0406343

Entities

People

  • H. P. Greinel

Organizations

  • Lockheed Martin Missiles and Space

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aircrafts
  • Astigmatism
  • Bessel Functions
  • Cartesian Coordinates
  • Coefficients
  • Coordinate Systems
  • Department Of Defense
  • Diffraction
  • Discrimination
  • Distribution Functions
  • Integrals
  • Intensity
  • Mechanical Structure
  • Observation
  • Observation Aircraft
  • Orientation (Direction)
  • Patents

Fields of Study

  • Physics

Readers

  • Geodesy
  • Image Processing and Computer Vision.
  • Vision Science/Vision Psychology/Cognitive Neuroscience.

Technology Areas

  • Space
  • Space - Space Objects