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A unified approach to some integral formulae for reflexion processes in an isotropic plasma

Published online by Cambridge University Press:  13 March 2009

John Heading
John Heading
Affiliation:
Department of Applied Mathematics, University College of Wales, Aberystwyth
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Abstract

Many different problems, associated with the propagation of electromagnetic waves in an inhomogeneous isotropic plasma and governed by second-order differential equations, are reformulated so as to be brought within the scope of a common analytical procedure. Refiexion coefficients, energy considerations, approximation procedures, slab refiexion, and other theorems are considered, the investigations of different physical processes all being attributable to one underlying mathematical method involving integrals, whose integrands contain quadratic products of the field variables and their derivatives in two different arrangements.

Type
Research Article
Information
Journal of Plasma Physics , Volume 24 , Issue 3 , December 1980 , pp. 519 - 532
Copyright
Copyright © Cambridge University Press 1980

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References

REFERENCES

Brekhovskikh, L. M. 1960 Waves in Layered Media. Academic.Google Scholar
Budden, K. G. 1961 Radio Waves in the Ionosphere. Cambridge University Press.Google Scholar
Courant, R. & Hilbert, D. 1953 Methode of Mathematical Physics, vol. 1. Interscience.Google Scholar
Ginzburg, V. L. 1964 The Propagation of Electromagnetic Wavss in Plasmas. Pergamon.Google Scholar
Heading, J. 1963 Radio Sci. 67D, 65.Google Scholar
Heading, J. 1970 Proc. Camb. Phil. Soc. 67, 347.Google Scholar
Heading, J. 1975 Ordinary Differential Equatione. Elek.Google Scholar
Wait, J. R. 1962 Electromagnetic Waves in Stratified Media. Pergamon.Google Scholar
Watson, G. N. 1944 Theory of Bessel Funetions, 2nd ed.Cambridge University Press.Google Scholar
Westcott, B. S. 1962 a J. Atmos. Terr. Phys. 24, 385.CrossRefGoogle Scholar
Westcott, B. J. 1962 b J. Atmos. Terr. Phys. 24, 619.Google Scholar
Westcott, B. S. 1962 c J. Atmos. Terr. Phys. 24, 701.Google Scholar