A Unified Approach to Electromagnetic Wave Propagation in Turbulence and the Evaluation of Multiparameter Integrals

Abstract

A powerful method is presented to allow one to quickly set up problems of wave propagation in a turbulent atmosphere and to evaluate the integrals in terms of rapidly converging series. The method allows one to find the phsae and log-amplitude variances, the power spectral density, Strehl ratio and beam profiles. The method of setting up the problem uses filter functions to extract Zernike aberrations, and to incorporate anisoplanatism, and the effects of point and distributed sources. These filter functions can often be cascaded to evaluate the quantities of interest when the effects are present simultaneously. The evaluation of the resulting integral expression uses Mellin transform techniques in multiple complex planes. Keywords: Turbulence, Integrals, Rytov approximation, Mellin transforms, Electromagnetic-wave propagation, Asymptotic series, Gegenbauer polynomials, Multiple complex planes.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1988
Accession Number
ADA198062

Entities

People

  • Richard . J. Sasiela

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Asymptotic Series
  • Bessel Functions
  • Classification
  • Complex Variables
  • Computational Fluid Dynamics
  • Computational Science
  • Convolution Integrals
  • Diffraction
  • Distortion
  • Electromagnetic Wave Propagation
  • Mathematical Analysis
  • Strehl Ratio
  • Turbulence
  • Two Dimensional
  • Wave Propagation
  • Waveforms
  • Wind Velocity

Fields of Study

  • Physics

Readers

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