Hostname: page-component-77c89778f8-9q27g Total loading time: 0 Render date: 2024-07-17T14:41:00.536Z Has data issue: false hasContentIssue false

Wave propagation in a plasma in the presence of a spatially uniform external periodic magnetic field

Published online by Cambridge University Press:  13 March 2009

K. P. Das
Affiliation:
Department of Mathematics, University of Kalyani, Kalyani, West Bengal, India

Extract

Starting from the kinetic equation and Maxwell's equations, a dispersion relation is obtained for wave propagation through a fully-ionized plasma along a spatially-uniform, external, periodic magnetic field B0 cos ω0t, and several excitation conditions are deduced. The parametri excitation of waves in a plasma by spatially uniform external periodic electric field has been considered by several authors (Aiev & Silim 1965; Montgomery & Alexeff 1966; Jackson 1967; Prasad 1967, 1968; Nishikawa 1968 a, b). The effect of spatially uniform external periodic magnetic field on wave propagation through a hot plasma was considered by Das (1971), who used hydrodynamic equations to study the effect of wave propagation perpendicular to a spatially-uniform, external, periodic magnetic field.

Type
Articles
Copyright
Copyright © Cambridge University Press 1975

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

Allev, A. Y. & Silin, V. P. 1965 Soviet Phys. JETP, 21, 601.Google Scholar
Das, K. P. 1971 J. Plasma Phys. 5, 151.CrossRefGoogle Scholar
Jackson, E. A. 1967 Phys. Rev. 153, 235.CrossRefGoogle Scholar
Macrobert, T. M. 1962 Functions of Complex Variable. Macmillan.Google Scholar
Montgomery, D. & Alexeff, I. 1966 Phys. Fluids, 9, 1362.CrossRefGoogle Scholar
Nishikawa, K. 1968a J. Phys. Soc. Japan, 24, 916.Google Scholar
Nishikawa, K. 1968b J. Phys. Soc. Japan, 24, 1152.CrossRefGoogle Scholar
Prasad, R. 1967 Phys. Fluids, 10, 2642.CrossRefGoogle Scholar
Prasad, R. 1968 Phys. Fluids, 11, 1768.CrossRefGoogle Scholar
Stix, T. H. 1962 The Theory of Plasma Waves. McGraw-Hill.Google Scholar
Whittaker, E. T. & Watson, G. N. 1962 A Course of Modern Analysis. Cambridge University Press.Google Scholar