MULTI-MODE WAVE COUPLING IN INHOMOGENEOUS, ANISOTROPIC MEDIA - WITH SOME MAGNETOIONIC APPLICATIONS,

Abstract

The report deals with coupled waves, or coupled modes in arbitrary inhomogeneous n-wave systems. The partial waves, which make up the total wave field (of some physical kind) are expressed either in terms of so called inhomogeneous wave numbers, or of regular homogeneous ones (with corresponding phase integrals). The partial wave amplitudes are related to each other by first order coupled amplitude equations, with coupling coefficients depending upon the physical nature of the modes appearing in the system. These wave couplings are formally simple only when the partial waves have symmetrical properties of some kind (which is the case in many practical applications). A great number of coupled mode systems are analysed, compared, and discussed in considerable detail, with applications for example to magnetoionic, and to active (amplifying), inhomogeneous media. This report represents a major effort to relate all coupled wave phenomena to each other, irrespective of their particular physical background; in short to present a unified theory of multi-mode couplings in inhomogeneous media. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 10, 1967
Accession Number
AD0665875

Entities

People

  • O. E. H. Rydbeck

Organizations

  • Pennsylvania State University

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Coefficients
  • Couplings
  • Equations
  • Integrals
  • Mathematics
  • Wave Phenomena

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Systems Analysis and Design
  • Wave Propagation and Nonlinear Chaotic Dynamics.