
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 magnetoionic medium. For slowlyvarying 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 secondorder 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