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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  and
P. L. Dyson
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
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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
Information
Journal of Plasma Physics , Volume 19 , Issue 3 , June 1978 , pp. 325 - 348
Copyright
Copyright © Cambridge University Press 1978

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References

REFERENCES

Appleton, E. V. 1928 Int. Union Sci. Radio Tel. 1, Pt. 1.Google Scholar
Bennett, J. A. 1969 Radio Sci. 4 667.CrossRefGoogle Scholar
Bennett, J. A. 1973 Radio Sci. 8, 737.CrossRefGoogle Scholar
Bennett, J. A. 1974 Proc. IEEE, 62, 1577.CrossRefGoogle Scholar
Bennett, J. A. 1976 a J. Plasma Phys. 15, 133.CrossRefGoogle Scholar
Bennett, J. A. 1976 b J. Plasma Phys. 15, 151.CrossRefGoogle Scholar
Bennett, J. A. 1977 Proc. IEEE, 65, 1079.CrossRefGoogle Scholar
Bliss, G. A. 1946 Lectures on the Calculus of Variations. University of Chicago Press.Google Scholar
Budden, K. G. 1961 Radio Waves in the Ionosphere. Cambridge University Press.Google Scholar
Budden, K. G. & Jull, G. W. 1964 Can. J. Phys. 42, 113.CrossRefGoogle Scholar
Choudhary, S. & Felsen, L. B. 1973 IEEE Trans. Antennas Propagat. AP-21, 827.CrossRefGoogle Scholar
Connor, K. A. & Felsen, L. B. 1974 Proc. IEEE, 62, 1586.CrossRefGoogle Scholar
Jackson, J. E. 1969 Proc. IEEE, 57, 960.CrossRefGoogle Scholar
Lewis, R. M. 1965 Arch. Rat. Mech. Anal. 20, 191.CrossRefGoogle Scholar
Ratcliffe, J. A. 1959 The Magnetoionic Theory. Cambridge University Press.Google Scholar
Rawer, K. & Suchy, K. 1976 J. atmos. terr. Phys. 38, 395.CrossRefGoogle Scholar
Suchy, K. 1974 Proc. IEEE, 62, 1571.CrossRefGoogle Scholar
Titheridge, J. E. 1961 J. atmos. terr. Phys. 22, 200.CrossRefGoogle Scholar
Titheridge, J. E. 1967 Radio Sci. 2, 133.CrossRefGoogle Scholar
Whitehead, J. D. 1972 J. atmos. terr. Phys. 34, 517.CrossRefGoogle Scholar