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Electromagnetic propagation in an exponential ionization density

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1 Author(s)
Taylor, L. ; General Electric Company, Valley Forge, PA, USA

The propagation of a plane electromagnetic (TE) wave into a plane stratified medium in which the ionization density varies as exp (z/z_{0}) is investigated. The solution of the wave equation appears as a combination of Bessel functions of imaginary order and complex argument, but the magnitude of the reflection coefficient (taken atz = -x) is given by the simple expression exp{-(4pi z_{0}cos theta_{i}/lambda) tan^{-1}(nu_{c}/omega)}, wheretheta_{i}is the angle of incidence,lambdais the free-space wavelength and (nu_{c}/omega) is the ratio of electron collision frequency to the frequency of the field. In general, the field components must be obtained from a complex series, but at depths beyond the critical density asymptotic forms are given which display the rapid decay of the evanescent field in terms of elementary functions.

Published in:

Antennas and Propagation, IRE Transactions on  (Volume:9 ,  Issue: 5 )