COUPLED WAVE EQUATIONS FOR MULTI-MODE INHOMOGENEOUS MEDIA. II. SECTION A. ON THE TRANSFORMATION OF THE WAVE EQUATIONS OF AN INHOMOGENEOUS MULTI-WAVE SYSTEM TO COUPLED MODE FORM: SECTION B. ON INHOMOGENEOUS WAVE NUMBERS FOR LONGITUDINAL PROPAGATION IN A MAGNETO-IONIC MEDIUM,

Abstract

By means of matrix formalism any linearized form of wave equations in total fields, which govern the propagation in an inhomogeneous multi-mode system can be transformed to coupled mode form. Various types of mode definition and coupled mode equations are obtained. The nature and properties of a mode definition depend upon the choice of original wave equations in total fields. Furthermore the modes can be defined by means of 'homogeneous' and 'inhomogeneous' models. The physical interpretation of the mode representation is a very important part of a coupling theory. To illuminate this situation the case of longitudinal propagation in an inhomogeneous magneto-ionic is treated by means of homogeneous and inhomogeneous mode representations. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1967
Accession Number
AD0668456

Entities

People

  • Ake G. Hjalmarson

Tags

DTIC Thesaurus Topics

  • Couplings
  • Differential Equations
  • Equations
  • Mathematics
  • Partial Differential Equations
  • Wave Equations

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Theoretical Analysis.