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Reference-wave solutions for the high-frequency field in random media.

Reuven Mazar1, Alexander Bronshtein

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

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|August 22, 2002
PubMed
Summary

This study introduces high-frequency asymptotic propagators for wave fields in random environments. The reference-wave method provides an approximate solution for wave propagation along isolated ray trajectories.

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Area of Science:

  • Physics
  • Wave Propagation
  • Electromagnetics

Background:

  • High-frequency wave fields in random environments are complex.
  • Ray trajectories are crucial for understanding wave propagation properties and statistical measures.
  • Current methods struggle with calculating statistical measures due to mixed field species arriving along different ray trajectories.

Purpose of the Study:

  • To construct high-frequency asymptotic propagators for wave fields in random media.
  • To develop a method for calculating statistical measures of the field propagating along isolated ray trajectories.
  • To obtain an approximate solution for the parabolic wave equation in homogeneous random media.

Main Methods:

  • Stochastic geometrical theory of diffraction.

Related Experiment Videos

  • Reference-wave method.
  • Construction of high-frequency asymptotic propagators.

    • Main Results:

    • Developed a method to relate field values and statistical measures at observation and initial planes.
    • Obtained an approximate solution for the parabolic wave equation.
    • Facilitated computation of statistical measures for fields propagating along isolated ray trajectories.

    Conclusions:

    • High-frequency asymptotic propagators are essential for analyzing wave fields in complex random environments.
    • The reference-wave method offers a viable approach for approximate solutions.
    • This work advances the understanding of wave propagation and statistical measures in random media.