Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-25T08:12:02.383Z Has data issue: false hasContentIssue false

Plasma waves in hot relativistic beam-plasma systems. Part 1. Dispersion relations

Published online by Cambridge University Press:  13 March 2009

Alain Magneville
Affiliation:
L.P.O.C., Université Pierre et Marie Curie, Paris, France

Abstract

Dispersion relations of plasma waves in a beam–plasma System are computed in the general case where the plasma and beam temperatures, and the; velocity of the beam, may be relativistic. The two asymptotic temperature cases, and different contributions of plasma or beam particles to wave dispersion are considered.

Type
Research Article
Copyright
Copyright © Cambridge University Press 1990

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

Agmon, N. 1977 Found. Phys. 7, 331.CrossRefGoogle Scholar
Akhiezer, A. I., Akhiezer, I. A., Polovin, R. V., Sitenko, A. G. & Stepanov, K. N. 1975 Plasma Electrodynamics. Pergamon.Google Scholar
Akhiezer, A. I. & Fainberg, Y. B. 1951 Zh. Eksp. Teor. Fiz. 21, 1262.Google Scholar
Arzelies, A. 1965 Nuovo Cim. 35, 792.Google Scholar
Bohm, D. & Gross, E. P. 1949 a Phys. Rev. 75, 1851.CrossRefGoogle Scholar
Bohm, D. & Gross, E. P. 1949 b Phys. Rev. 75, 1864.CrossRefGoogle Scholar
Buti, B. 1962 Phys.Fluids, 5, 1.Google Scholar
Buti, B. 1963 a Phys. Fluids, 6, 89.Google Scholar
Buti, B. 1963 b Phys. Fluids, 6, 100.Google Scholar
Cavalleri, G. & Salgarelli, G. 1969 Nuovo Cim. 62A, 722.CrossRefGoogle Scholar
De Groot, S. R., Van Leeuwen, W. A. & Van Weert, C. G. 1980 Relativistic Kinetic Theory. North Holland.Google Scholar
Dirac, P. A. M. 1924 Proc. R. Soc. Lond. A 106, 581.Google Scholar
Einstein, A. 1907 Jahrbuch d. Radioaktivität und Electronik, 4, 411.Google Scholar
Gertsenshtein, M. E. 1952 Zh. Eksp. Teor. Fiz. 23, 669.Google Scholar
Goodinson, P. A. & Luffman, B. L. 1980 Nuovo Cim. 60B, 81.Google Scholar
Gradshteyn, I. S. & Ryzhik, I. M. 1980 Table of Integrals, Series, and Products. Academic.Google Scholar
Grishin, V. K. & Kolomenskii, A. A. 1973 Soviet Tech. Phys. 17, 2022.Google Scholar
Grishin, V. K. & Sukharevskii, V. G. 1973 Soviet Phys. Tech. Phys. 18, 564.Google Scholar
Gron, O. 1973 Nuovo Cim. 17B, 141.Google Scholar
Hakim, R. 1967 a J. Math. Phys. 8, 1315.CrossRefGoogle Scholar
Hakim, R. 1967 b J.Math. Phys. 8, 1379.Google Scholar
Hakim, R. & Mangeney, A. 1968 J. Math. Phys. 9, 116.CrossRefGoogle Scholar
Hakim, R. & Mangeney, A. 1971 Phys. Fluids, 14, 2751.CrossRefGoogle Scholar
Jüttner, F. 1911 Ann. der Phys. 34, 856.Google Scholar
Kuz'Menkov, L. S., Loskutov, Yu. M. & Polyakov, P. A. 1979 Soviet Phys. J. (USA), 22, 210.Google Scholar
Kuz'Menkov, L. S. & Polyakov, P. A. 1979 Moscow University Physics Bulletin (USA) 34, no. 6, p. 7.Google Scholar
Landau, L. D. & Lifshitz, E. M. 1975 The Classical Theory of Fields, 4th edition. Pergamon.Google Scholar
Landsberg, P. T. 1966 a Proc. Phys. Soc. 89, 1007.Google Scholar
Landsberg, P. T. 1966 b Nature, 212, 571.CrossRefGoogle Scholar
Landsberg, P. T. 1981 Eur. J. Phys. 2, 203.CrossRefGoogle Scholar
Landsberg, P. T. & Johns, K. A. 1967 Nuovo Cim. 52, 28.CrossRefGoogle Scholar
Landsberg, P. T. & Johns, K. A. 1968 Proc. R. Soc. Lond. A 306, 477.Google Scholar
Landsberg, P. T. & Johns, K. A. 1970 J. Phys. A 3, 113Google Scholar
Luke, Y. L. 1962 Integrals of Bessel Functions. McGraw-Hill.Google Scholar
Luke, Y. L. 1970 Handbook of Mathematical Functions (ed. Abramowitz, M. & Stegun, I. A.). Dover.Google Scholar
Magneville, A. 1990 J. Plasma Phys. 44, 213.Google Scholar
Mikhailovskii, A. B. 1974 Theory of Plasma Instabilites, Vol. 1. Instabilites of a Homogeneous Plasma. Consultants Bureau.Google Scholar
Misra, P. 1975 J. Plasma Phys. 14, 529.Google Scholar
Newburgh, R. G. 1979 Nuovo Cim. 52B, 219.Google Scholar
Olver, F. W. J. 1970 Handbook of Mathematical Functions (ed. Abramowitz, M. & Stegun, I. A.). Dover.Google Scholar
Ott, H. 1963 Z. Phys. 175, 70.Google Scholar
Pathria, R. K. 1966 Proc. Phys. Soc. 88, 791.Google Scholar
Pegoraro, F. & Porcelli, F. 1984 Phys. Fluids, 27, 1665.Google Scholar
Planck, M. 1908 Ann. Der Phys. 26, 1.CrossRefGoogle Scholar
Shoucri, M. M. 1983 Phys. Fluids, 26, 3096.Google Scholar
Silin, V. P. 1960 Soviet Phys. JETP, 11, 1136.Google Scholar
Strel'tsov, V. N. 1977 Found. Phys. 7, 325.Google Scholar
Synge, J. L. 1957 The Relativistic Gas. North-Holland.Google Scholar
Ter Haar, D. & Wergeland, H. 1971 Phys. Rep. 1, 32.Google Scholar
Tolman, R. C. 1934 Relativity, Thermodynamics and Cosmology. Clarendon.Google Scholar
Van Kampen, N. G. 1968 Phys. Rev. 173, 295.Google Scholar
Van Kampen, N. G. 1969 Physica, 43, 244.Google Scholar
Van Weert, C. G., Van Leeuwen, W. A. & De Groot, S. R. 1973 Physica, 69, 441.Google Scholar