Accession Number : AD0751669

Title :   Electromagnetic Wave Functions for Parabolic Plasma Density Profiles.

Descriptive Note : Technical rept.,

Corporate Author : CALIFORNIA UNIV LOS ANGELES PLASMA PHYSICS GROUP

Personal Author(s) : Banos,Alfredo , Jr. ; Kelly,Daniel L.

Report Date : OCT 1972

Pagination or Media Count : 38

Abstract : The computation of the reflection and transmission coefficients was undertaken in an earlier paper for a class of one-dimensional wave propagation problems in inhomogeneous plasmas devoid of external magnetic field. More precisely, making use of an extension of Langer's method, the authors succeeded in obtaining a solution of the one-dimensional Helmoltz equation 2nd derivative w/z + k(sub o) squared g(z) w(z) = 0, (k sub o = 1 pi/(lambda sub o), where lambda sub o is the free space wavelength and g(z) represents quite generally three characteristic profiles. In the present paper the authors confine their attention exclusively to symmetric profiles of the Exstein form g(z) = g(0) + (1-g(0) (tanh squared) (z/2 lambda), where g(0) is the intercept at the origin and lambda is the scale length. (Author)

Descriptors :   (*IONOSPHERIC PROPAGATION, WAVE FUNCTIONS), ELECTRON DENSITY, ASYMPTOTIC SERIES, HYPERGEOMETRIC FUNCTIONS, COMPLEX VARIABLES, NUMERICAL ANALYSIS

Subject Categories : Radiofrequency Wave Propagation

Distribution Statement : APPROVED FOR PUBLIC RELEASE