Wave Propagation in Continuous Random Media,

Abstract

A study is made of the way in which small random inhomogeneities in a transmission medium affect the statistical properties of a system of waves. It is shown that provided the spectral cumulants are sufficiently smooth at some initial time, a sequence of closures for the zeroth order spectral functions can be deduced which describe asymptotically the transfer of energy between wave numbers. Of particular importance is the fact that the closure equations are derived without the need to resort to ad hoc statistical assumptions. The general theory is applied to the problem of the propagation of water waves over an irregular bottom topography. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0768197

Entities

People

  • Charles G. Lange

Organizations

  • University of California, Los Angeles

Tags

DTIC Thesaurus Topics

  • Equations
  • Mathematics
  • Sequences
  • Topography
  • Water Waves
  • Wave Propagation
  • Waves

Fields of Study

  • Engineering
  • Mathematics

Readers

  • Coastal Oceanography
  • Fluid Dynamics.
  • Statistical inference.