A systematic study of the radiation patterns of a dipole in a magnetoplasma based on a classification of the associated dispersion surfaces

Abstract

This study co mmences by demonstrating the important role played by the dispersion surfaces in the determination of the far fi e lds of an infinitesimal dipole in a lossless, cold magn eto· ionic medium. The dispersion surfaces are then classified, according to th eir shapes, for differe nt ranges of the plasma parameters. A comprehe nsive group of radiation patterns is the n given including far fi elds for eac h of the fourtee n classified range s of the plasma parameters.

An Approach to Ray Optics in Anisotropic Media

“…For lossless media, | is Hermitian so that £, in (1-6) is equal to e u tz ' ~et and hence from (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11), (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12) and (1)(2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13) it is seen that Those branch points of the H'S at which the wave number complex or imaginary need not be considered since they are not branch points of the total Fourier field transforms as given in (1-55), and . This is seen from the fact that at a branch point, two solutions of for the H'S of the € .…”