Analysis of Advanced CI Applications and Systems Performance

Abstract

This report examines two problems. The first is that of scaling previously developed probabilities of a good short exposure to other resolution conditions. The second is of combining low resolution adaptive optics with speckle techniques. Results previously developed for the probability that at some instant the random wavefront distortion over a circular aperture will be less than one radian squared (averaged over the aperture at that instant) are extended to apply to other values than one radian squared. These probabilistic results are then combined with estimates of the relationship between short exposure resolution and residual wavefront error to provide results for the probability of achieving some desired resolution as a function of aperture diameter. It is found that the optimum aperture diameter to achieve a desired level of resolution is almost exactly twice the diameter for which the diffraction limited resolution is equal to the desired resolution, and that the probability of obtaining the desired resolution with that aperture diameter is equal to the probability, previously evaluated, of having one radian squared residual wavefront error on a single short exposure with that aperture diameter. The second part develops an expression for the power spectrum of the focal plane intensity in an adaptive optics two aperture (i.e.,) Michelson stellar interferometer) system acting on a turbulence-distorted single-point-source wavefront. The adaptive optics elements for this system are assumed to correspond to each single aperture of this two aperture system. It is found that no improvement in performance is achieved in speckle interferometry with adaptive optics over conventional optics, in as much as the power spectrum is virtually unchanged.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1980
Accession Number
ADA082830

Entities

People

  • David L. Fried
  • Stephen L. Browne

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Adaptive Optics
  • Atmospheric Motion
  • Diffraction
  • Distortion
  • Focal Planes
  • Integrals
  • Intensity
  • Interferometers
  • Interferometry
  • Low Resolution
  • Michelson Interferometers
  • Phase Shift
  • Power Spectra
  • Probability
  • Random Variables
  • Spearography
  • Spectra

Fields of Study

  • Physics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Image Processing and Computer Vision.
  • Optical Physics and Photonics.