Accession Number : AD0668456

Title :   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,

Corporate Author : RYDBECK RESEARCH ASSOCIATES FJARAS (SWEDEN)

Personal Author(s) : Hjalmarson,Ake G.

Report Date : AUG 1967

Pagination or Media Count : 79

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)

Descriptors :   (*MECHANICAL WAVES, PROPAGATION), (*TRANSFORMATIONS(MATHEMATICS), *HARMONIC ANALYSIS), MATHEMATICAL MODELS, THEORY, MATRICES(MATHEMATICS), DIFFERENTIAL EQUATIONS, MATHEMATICAL ANALYSIS, MAGNETIC PROPERTIES

Subject Categories : Theoretical Mathematics
      Radiofrequency Wave Propagation

Distribution Statement : APPROVED FOR PUBLIC RELEASE