Transmission line theory for the impedances of wire antennas immersed in a cold magnetoplasma is proposed. The theory is applicable to antennas which are not necessarily small in terms of a wavelength measured along the antenna wire. The transmission line theory for the impedance of a very thin cylindrical dipole antenna leads to the Balmain quasi-static theory when the antenna length reduces to zero. New impedance resonances which would be observed for antennas of finite length in a magnetoplasma in the frequency region below and near the electron cyclotron frequency are predicted by the present theory.
A full wave theory is applied to the whistler radio wave propagation along a plasma slab with an enhanced or depressed plasma density which is imbedded in an infinite magnetoplas ma. Rigorous dispersion equation is solved for a thin slab in approximate but explicit forms. Three types of propagation modes are found: (a) a comple tely trapped surface wave mode along th e depressed slab in the frequency region above a half of gyrofrequency and below a gyrofrequ enc y, (b) a com· pletely trapped surface wave mode along th e highly enhanced slab in the frequ enc y region above a half of gyrofrequ e ncy and below a ce rtain c utoff freque ncy less than a gyrofrequency, and (c) a partially trapped (leaky) surface wav e mode along th e enhan ced s lab in the frequ e ncy region above a certain cutoff freque ncy and below a half of gyrofrequ enc y. Di s· persion prope rti es, fi eld di stributions and an atte nuation of the third mod e due to th e leakage of the transmitted power are discus sed in detail. The attenuation is found to in crease very rapidly wit.h inc reasing frequ ency, thi ckness and enhan ce me nt of ionization of th e slab . The exact numeric al soluti ons are also obtained and compared with the approximate solutions.
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