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

Reuven Mazar, Alexander Bronshtein

Research output: Contribution to journalConference articlepeer-review


Ray theory plays an important role in determining the propagation properties of high-frequency fields and their statistical measures in complicated random environments. For computations of the statistical measures it is desirable therefore to possess a solution for the high-frequency field propagating along an isolated ray trajectory. In this work a reference wave is applied to obtain an analytic solution of the parabolic wave equation describing propagation along the ray trajectory of the deterministic background medium. The methodology is based on defining a paired field measure as a product of an unknown field propagating in a disturbed medium and the complex conjugate component propagating in a medium without random fluctuations. Once a solution of the equation for the paired field measure is obtained, the solution of the unknown field can be determined in an explicit form by extracting from the paired solution the solution of the deterministic component.

Original languageEnglish
Pages (from-to)61-69
Number of pages9
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 3 May 2004
EventOptics in Atmospheric Propagation and Adaptive Systems VI - Barcelona, Spain
Duration: 9 Sep 200312 Sep 2003


  • Random media
  • Wave propagation

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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