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Reference-wave solutions for the high-frequency fields in inhomogeneous-background random media.

Reuven Mazar1

  • 1Department of Electrical and Computer Engineering, Ben-Gurion University of the Negev, P.O. Box 653, Beer-Sheva 84105, Israel. mazar@ee.bgu.ac.il

Optics Letters
|December 19, 2003
PubMed
Summary

This study introduces a novel method using a reference wave to analytically solve the parabolic wave equation for high-frequency fields in random environments. This approach enables explicit solutions for wave propagation along deterministic ray trajectories.

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Area of Science:

  • Physics
  • Wave Propagation
  • Statistical Optics

Background:

  • Ray theory is crucial for understanding high-frequency field propagation in complex, random environments.
  • Calculating statistical measures necessitates solutions for fields along isolated ray trajectories.

Purpose of the Study:

  • To develop an analytic solution for the parabolic wave equation describing high-frequency field propagation along deterministic ray trajectories.
  • To provide a method for extracting solutions of unknown fields in disturbed media.

Main Methods:

  • A new reference wave is employed to solve the parabolic wave equation.
  • A paired-field measure is defined as the product of a field in a disturbed medium and its complex-conjugate in a non-fluctuating medium.
  • The solution for the deterministic component is extracted from the paired-field measure solution.

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Main Results:

  • An analytic solution for the parabolic wave equation along a deterministic ray trajectory is obtained.
  • The methodology allows for the explicit determination of the unknown field in disturbed media.
  • This approach facilitates the computation of statistical measures for high-frequency fields.

Conclusions:

  • The developed method provides an explicit analytical solution for high-frequency wave propagation in random environments.
  • This technique is valuable for calculating statistical measures of wave fields along ray trajectories.
  • The paired-field measure approach offers a robust way to analyze wave phenomena in complex media.