Theoretical Study of Non-Standard Imaging Concepts - Addendum.

Abstract

In Part II of this report, the eigenvalues and the eigenfunctions for average tilt and average phase suppressed wavefront distortion on a circular aperture are developed. (The eigenvalues and eigenfunctions without tilt distortion suppressed are also developed.) Using the eigenvalue set, the CENSORING system probability, P sub CENSOR, of getting a short exposure image with less than one radian squared distortion averaged over the aperture is evaluated as a multi-dimensional integral, evaluated by Monte Carlo techniques. The results are found to have the form P sub CENSOR is approximately 5.6 exp (-0.1557 (D/ro)squared). The exponential dependence on aperture area is in agreement with an earlier conjecture by Hufnagel (though with significantly different coefficients than were suggested by Hufnagel). The report has been bound in two volumes. The main volume presents the derivation and principal results. The addendum volume presents the more voluminous tables of intermediate results, particularly those that may be of use in working other problems.

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1974
Accession Number
ADA014840

Entities

People

  • David L. Fried

Tags

DTIC Thesaurus Topics

  • Agreements
  • Coefficients
  • Diffraction
  • Distortion
  • Eigenvalues
  • Eigenvectors
  • Integrals
  • Mathematics
  • Probability
  • Standards
  • Wavefronts

Fields of Study

  • Physics

Readers

  • Business Analytics
  • Optical Physics and Photonics.
  • Statistical inference.