Power Spectra Requirements for Wavefront-Compensative Systems.

Abstract

The phase degradation of an optical wavefront distorted by turbulence in the propagation medium may be corrected in a piece-wise-linear fashion by using an array of small circular mirrors. An option in the correction scheme is to compensate for overall tilt separately. The authors have evaluated power spectra and variances of the piston and tilt motions of the mirror segments as well as the motion of the overall tilt corrector. The form of the spectra for any propagation medium is an aperture integral of the product of the phase-difference power spectrum, describing the medium, and a generalized transfer function, representing the aperture and its segments. A set of standard curves is found to represent a generalized slice, and the differential contributions may be summed to represent any propagation path. The standard curves, further modeled in terms of power law dependencies, are programmed for use on a desk calculator. For a generalized turbulence and velocity model representing the ARPA Maui Optical Station, power spectra and variances are evaluated using both exact numerical integration and power law modeling.

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1975
Accession Number
ADA018045

Entities

People

  • Darryl P. Greenwood
  • David L. Fried

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Calculators
  • Degradation
  • Diffraction
  • Integrals
  • Mathematics
  • Numerical Integration
  • Power Spectra
  • Spectra
  • Standards
  • Transfer Functions
  • Turbulence
  • Wave Phenomena
  • Wavefronts

Fields of Study

  • Physics

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Calculus or Mathematical Analysis
  • Image Processing and Computer Vision.