Deconvolution of Aberrations in Optical Systems.

Abstract

Methods are developed for estimating aberrations on the elements of a two-element optical system based on knowledge of the input and output fields. The equation is written for the propagation of a scalar, quasi-monochromatic field through the system, and the output field is assumed measurable at a given plane. The resulting convolution integral contains the unknown aberration functions in the integrand. The integral equation is a Fredholm equation of the first kind, and the integrand is a nonlinear function of the aberrations. The integral is completed by the method of stationary phase. Methods for estimating the aberration functions are developed, and the effects of noisy measurements are considered. A computerized algorithm that will estimate the Fourier coefficients of the aberration functions is demonstrated for a simple deconvolution problem. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Dec 09, 1983
Accession Number
ADA138096

Entities

People

  • C. S. Davis

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Computer Programs
  • Convolution Integrals
  • Detectors
  • Equations
  • Fourier Series
  • Integral Equations
  • Integrals
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • Measurement
  • Probability
  • Probability Density Functions
  • Random Variables
  • Tank Guns
  • Two Dimensional

Fields of Study

  • Physics

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Optical Physics and Photonics.