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

Reuven Mazar, Alexander Bronshtein

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Ray trajectories, as has been shown in the recently formulated stochastic geometrical theory of diffraction, play an important role in determining the propagation properties of high-frequency wave fields and their statistical measures in complicated random environments. The field at the observer can be presented as the superposition of a variety of field species arriving at the observer along multiple ray trajectories resulting from boundaries and scattering centers embedded into the random medium. In such situations the intensity products from which the average intensity measures can be constructed and which, in general, are presented as even products of the total field, will contain sums of products of mixed field species arriving along different ray trajectories. For computations of the statistical measures of the field it is desirable, therefore, to possess a solution for the high-frequency field propagating along an isolated ray trajectory. The main concern of this work is the construction of high-frequency asymptotic propagators, relating the values of the random field and its statistical measures at some observation plane to their source (actual or virtual) distributions at the initial plane. For this reason a reference-wave method was developed to obtain an approximate solution of the parabolic wave equation in a homogeneous background random medium.

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics


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