Aberrated Point-Spread Functions and Beam Quality for Optical Systems with Annular Pupils

Abstract

The effect of the central obscuration of an annular pupil of an incoherent optical imaging system on its aberrated point-spread function (PSF) is discussed. A simple model is presented which approximates the aberrated PSF by an aberration-free PSF scaled by its Strehl ratio. The approximation of a PSF with rotationally symmetric aberration by an aberration-free PSF scaled by the Strehl ratio improves as the obscuration of the pupil increases. Specifically, as the obscuration approached the outer radius, the PSF of the optical systems with rotationally symmetric aberrations. For the rotationally nonsymmetric aberrations of astigmatism, balanced astigmatism, and coma the aberrated PSF in its central region can also be approximated by the scaled aberration-free PSF but for large Strehl ratios. For rotationally nonsymmetric aberrations, the region or spot sizes are given for which the aberration-free encircled energy without scaling by the Strehl ratio provides better agreement with the actual aberrated encircled energy than the aberration-free encircled energy scaled by the Strehl ratio.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1993
Accession Number
ADA275311

Entities

People

  • Carl F. Maes

Organizations

  • Air Force Institute of Technology

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Agreements
  • Air Force
  • Amplitude
  • Astigmatism
  • Diffraction
  • Errors
  • Illumination
  • Laser Beams
  • Line Of Sight
  • Obscuration
  • Optical Lattices
  • Peak Values
  • Polynomials
  • Power Series
  • Standards
  • Strehl Ratio

Fields of Study

  • Physics

Readers

  • Image Processing and Computer Vision.
  • Optical Physics and Photonics.