The Mutual Coherence Function of a Finite Cross Section Optical Beam Propagating in a Turbulent Medium.

Abstract

On the basis of the extended Huygens-Fresnel principle, a general expression is derived for the mutual coherence function (MCF) of a finite optical beam propagating in a weakly inhomogeneous medium. The results obtained for the beam MCF are valid both in the near and far field of the laser transmitting aperture and for an arbitrary complex disturbance in the exit pupil of the aperture. A general expression is also derived for the propagation distance z(B) such that for distances much less (greater) than z(B), the MCF is well approximated by the plane (spherical) wave results. An analytic expression is presented for a gaussian beam such that a numerical error in previous results is corrected. Finally, some comments regarding higher-order statistical moments of the field are given. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 12, 1972
Accession Number
AD0742983

Entities

People

  • H. T. Yura

Organizations

  • The Aerospace Corporation

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Electromagnetic Fields
  • Electromagnetic Radiation
  • Far Field
  • Optical Lattices
  • Transmitting

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Image Processing and Computer Vision.
  • Wave Propagation and Nonlinear Chaotic Dynamics.

Technology Areas

  • Directed Energy