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Propagation of electromagnetic waves in a density-modulated plasma

Published online by Cambridge University Press:  13 March 2009

Maurizio Lontano  and
Nicolai Lunin
Maurizio Lontano
Affiliation:
Istituto di Fisica del Plasma, EURATOM-ENEA-CNR Association, Milano, Italy
Nicolai Lunin
Affiliation:
Istituto di Fisica del Plasma, EURATOM-ENEA-CNR Association, Milano, Italy
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Abstract

The properties of electromagnetic wave propagation in a uniformly densitymodulated plasma are studied, starting from a unidimensional scalar wave (Hill) equation for the wave electric field. Introduction of the formalism of the spatial propagator Q(z2, z1), from the point z1 to the point z2 allows reduction of the problem to determination of the propagator relevant to a single plasma layer that constitutes the entire periodic structure. The transmission coefficient of a single layer can be computed for any kind of density profile by means of the Magnus approximation, satisfying energy flux conservation at each order in the relevant expansion. The appearance of ‘forbidden zones’ in parameter space leads to the possibility that the incident electromagnetic wave can be partially or completely reflected if a sufficient number of periods are present. The explicit computation of the transmission coefficient for a series of n successive layers confirms this effect as the result of a ‘resonant’ interaction of the incident wave and the ‘periodicity’ of the medium.

Type
Research Article
Information
Journal of Plasma Physics , Volume 45 , Issue 2 , April 1991 , pp. 173 - 190
Copyright
Copyright © Cambridge University Press 1991

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