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Two-frequency mutual coherence function of electromagnetic waves in random media: a path-integral variational

Alexandre V Morozov1

  • 1Department of Physics, University of Washington, Seattle 98195-1560, USA. morozov@u.washington.edu

Journal of the Optical Society of America. A, Optics, Image Science, and Vision
|October 9, 2002
PubMed
Summary

Researchers derived a general formula for electromagnetic pulse propagation in atmospheric turbulence. This new method accurately models various conditions, offering practical solutions for real-world pulse propagation challenges.

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Area of Science:

  • Electromagnetics
  • Atmospheric Physics
  • Wave Propagation

Background:

  • Electromagnetic pulse propagation through turbulent atmosphere is complex.
  • Existing models have limitations for arbitrary turbulence and pulse types.

Purpose of the Study:

  • To derive a general expression for the mutual coherence function of electromagnetic pulses in turbulent atmosphere.
  • To provide a versatile tool applicable to various propagation scenarios and turbulence models.

Main Methods:

  • Utilized path-integral methods to derive the general expression.
  • Analyzed plane-wave, spherical wave, and Gaussian beam propagation.
  • Compared results with existing numerical and exact solutions.

Main Results:

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  • Obtained a general expression for the two-frequency, two-position mutual coherence function.
  • The derived expression is valid for arbitrary refractive-index fluctuations, wideband pulses, and strong turbulence.
  • New results were specifically obtained for Gaussian beam pulse propagation.

Conclusions:

  • The developed path-integral approach offers a robust framework for analyzing electromagnetic pulse propagation in atmospheric turbulence.
  • The derived expressions are broadly applicable to diverse practical problems in optical and radio wave propagation.