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On the relation between phase path, group path and attenuation in a cold absorbing plasma

Published online by Cambridge University Press:  13 March 2009

J. A. Bennett
Affiliation:
Department of Electrical Engineering, Monash University, Clayton, Australia, 3168
P. L. Dyson
Affiliation:
Division of Theoretical and Space Physics, La Trobe University, Bundoora, Australia, 3083

Abstract

General expressions have been derived relating the attenuation, A, to the group and phase refractive indices μ′ and μ. This has been done by considering a perturbation about the case in which the collision frequency is zero. It is found that the expressions forμ′ –μ and the imaginary part of the refractive index are closely related in form so that the attenuation can be related to the difference in the group and phase paths, P′–P. Approximations of this form have been obtained in the past but only for situations in which the Q.L. and Q.T. approximations are valid. The expressions derived in this paper are not restricted in this way and numerical calculations show that the ranges of these Q.L. and Q.T. approximations are rather limited. Numerical calculations have enabled new approximations with much greater ranges of validity to be established for these cases.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1978

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