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Excitation of the plasma and upper hybrid resonances in a warm magnetoplasma by an alternating electric dipole

Published online by Cambridge University Press:  13 March 2009

J. M. Chassériaux
Affiliation:
Groupe de Recherches Ionosphériques, C.N.R.S., Avenue de Neptune 94100, Saint Maur des Posses, France

Abstract

The potential created by an alternating dipole in a warm magnetoplasma is calculated analytically, in the approximation of the full adiabatic theory, for excitation frequencies ω close either to the upper hybrid frequency ωT or to the plasma frequency ωp The potential is finite at these frequencies. For ω ˜ ωp, the equipotential surfaces can be considered roughly as planes perpendicular to the static magnetic field B. For ω ˜ ωT and ω2p ≪3ω2b (where ωb is the electron gyrofrequency), the equipotential surfaces are cylinders of axis B. On the other hand, if ω2p ≪3ω2b, the potential is the sum of a cylindrical wave and of a wave for which the equipotential surfaces are paraboloids of axis B. These results are used to calculate the mutual impedance ζ of a quadrupole probe, and it is shown that the measurement of Zγ atω = ωT provides a new method for determining the electron temperature.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1974

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References

REFERENCES

Benghin, C. 1970 C.R. Acad. Sci. Paris, 270, 431.Google Scholar
Benghin, C. & Debrie, R. 1973 J. Plasma Phys. 8, 287.Google Scholar
Bitoun, J. O., Graff, P. & Aubry, M. P. 1970 Radio Sci. 5, 1341.Google Scholar
Buckley, R. 1970 Plasma Waves in Space and in the Laboratory (ed. Thomas, J. O. and B. J. Landmar), vol. 2, p. 129. Edinburgh University Press.Google Scholar
Buneman, O. 1961 Phys. Fluids, 4, 669.CrossRefGoogle Scholar
Calvert, W. & Goe, G. B. 1963 J. Geophys. Res. 68, 6113CrossRefGoogle Scholar
Chassériaux, J. M. 1971 Ann. Geophys. 27, 329.Google Scholar
Chassériaux, J. M., Debrle, R. & Renard, C. 1972 J. Plasma Phys. 8, 231.CrossRefGoogle Scholar
Chassériaux, J. M. & Odero, D. 1973 J. Plasma Phys. 10, 265.Google Scholar
Chen, H. C. 1969 J. Appl. Phys. 40, 4068.CrossRefGoogle Scholar
Chugunov, Y. V. 1971 Radiophysics, 14, 44.Google Scholar
Deering, W. D. & Fejer, J. A. 1965 Phys. Fluids, 8, 2066.CrossRefGoogle Scholar
Deschamps, G. A. & Kesler, O. B. 1967 Radio Sci. 2, 757.CrossRefGoogle Scholar
Ederlyi, A., Magnus, W., Oberhettinger, F. & Tricomi, F. G. 1954 Tables of Integral Transforms. McGraw-Hill.Google Scholar
Fang, M. T. C. & Andrews, M. K. 1971 J. Plasma Phys. 6, 567.CrossRefGoogle Scholar
Fejer, J. A. & Yu, W. M. 1969 J. Plasma Phys. 3, 227.Google Scholar
Fisher, R. K. & Gould, B. W. 1971 Phys. Fluids, 14, 857.Google Scholar
Fredricks, R. W. & Scarf, F. L. 1969 Plasma Waves in Space and in the Laboratory (ed. Thomas, J. O., and B. J. Landmark), vol. 1, p. 97. Edinburgh University Press.Google Scholar
Gonfalone, A. 1972 J. Phys. 33, 521.CrossRefGoogle Scholar
Graff, P. 1970 J. Geophys. Res. 75, 7193.CrossRefGoogle Scholar
Graff, P. 1971 These de doctorat d'état, Université Paris VII.Google Scholar
Lewis, B. M. & Keller, J. B. 1962 Phys. Fluids, 5, 1248.CrossRefGoogle Scholar
Magnus, W., Oberhettinger, F. & Soni, R. P. 1966 Formulas and Theorems for the Special Functions of Mathematical Physics. Springer.CrossRefGoogle Scholar
Muldrew, D. B. & Estabrooks, M. F. 1972 Radio Sci. 7, 579.CrossRefGoogle Scholar
Oya, H. 1971 Radio Sci. 6, 1131.CrossRefGoogle Scholar
Renard, C. & Debrie, R. 1970 C.R. Acad. Sci. Paris, 270, 649.Google Scholar
Rooy, B., Felix, M. R. & Storey, L. R. O. 1972 Plasma Phys. 14, 275.CrossRefGoogle Scholar
Shkarovsky, I. P. 1970 Plasma Waves in Space and in the Laboratory (ed. Thomas, J. O. and B. J. Landmark), vol. 2, p. 159. Edinburgh University Press.Google Scholar
Simonen, T. C. 1966 Stanford University Institute for Plasma Research Rep. 100.Google Scholar
Singh, N. & Gould, R. W. 1971 Radio Sci. 6 1151.CrossRefGoogle Scholar
Sitenko, A. G. & Stepanov, K. N. 1957 Soviet Phys. JETP, 4, 512.Google Scholar
Stix, T. H. 1962 Theory of Plasma Waves. McGraw-Hill.Google Scholar
Storey, L. R. O., Aubry, M. P. & Meyer, P. 1969 Plasma Waves in Space and in the Laboratory (ed. Thomas, J. O. and B. J. Landmark), vol. 1, p. 303. Edinburgh University Press.Google Scholar
Sundaram, A. K. 1972 J. Appl. Phys. 43, 3964.Google Scholar