Accession Number : AD0282401

Title :   THE MAGNETOSPHERIC WAVE EQUATION IN DIPOLAR COORDINATES

Corporate Author : BOEING SCIENTIFIC RESEARCH LABS SEATTLE WASH

Personal Author(s) : HOFFMAN,WILLIAM C.

Report Date : JUN 1962

Pagination or Media Count : 1

Abstract : Dipolar coordinates alpha equals r/sin square theta, beta equals cos theta/r square, phi equals phi, first introduced by A. Dragt ( Geophysics Research, 66:1642, 1961) in his treatment of hydromagnetic waves in the Van Allen belts, are applied to the vector wave equation for the electric field in an inhomogeneous magneto-ionic medium. For slowly-varying media, in which magnetic gradients dominate polarization charge gradients, the vector wave equation may be approximated by a system of uncoupled scalar wave equations. The latter reduce to a system of second-order ordinary linear differential equations at large distances. The latter are then solved in the WKB approximation. (Author)

Descriptors :   *ELECTROMAGNETIC FIELDS, *EXTRATERRESTRIAL RADIO WAVES, *IONOSPHERE, *UPPER ATMOSPHERE, *VAN ALLEN RADIATION BELT, DIFFERENTIAL EQUATIONS, IONIC CURRENT, LINEAR SYSTEMS, MATRICES(MATHEMATICS), PARTIAL DIFFERENTIAL EQUATIONS, TENSOR ANALYSIS, GEOMAGNETISM, TRANSFORMATIONS (MATHEMATICS), VECTOR ANALYSIS, VERY LOW FREQUENCY

Distribution Statement : APPROVED FOR PUBLIC RELEASE