Linear wave dispersion laws in unmagnetized relativistic plasma: Analytical and numerical results

Physics of Plasmas

Volumn 8, Issue 5 I, 2001, Pages 1482-1492

  Bergman, Jan ^a,b   Eliasson, Bengt ^a  

^a SWEDISH INSTITUTE OF SPACE PHYSICS   (Sweden)

^b Racomna AB   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0035326336     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1358313     Document Type: Article

References (24)

1. P. C. Cleramow and J. P. Dougherty, Electrodynamics of Panicles and Plasmas, Addison-Wesley Series in Advanced Physics (Addison-Wesley, Reading, MA, 1969).
2. J. D. Jackson, J. Nucl. Energy, Part C 1, 171 (1960).
3. B. D. Fried and R. W. Gould, Phys. Fluids 4, 139 (1961).
4. F. F. Chen, Introduction to Plasma Physics and Controlled Fusion (Plenum, New York, 1984), Vol. 1.
5. R. Schlickeiser, Phys. Scr. T75, 33 (1998).
6. D. B. Melrose, J. Plasma Phys. 62, 249 (1999).
7. K. Nishikawa and M Wakatani, Plasma Physics' Basic Theory with Fusion Applications (Springer-Verlag, Berlin, Heidelberg, 2000).
8. J. D. Huba, NRL Plasma Formulary (Naval Research Laboratory, Washington, DC, 1994), NRL/PU/6790-94-265.
9. S. R. de Groot, W. A. van Leeuwen, and C. G. Weert, Relativistic Kinetic Theory, Principles and Applications (North-Holland, Amsterdam, 1980).
10. J. Bergman, Doctoral thesis, Department of Astronomy and Space Physics, Uppsala University, Uppsala, Sweden, 2000.
11. Handbook of Mathematical Functions, 9th ed., edited by M. Abramowitz and I. A. Stegun (Dover, New York, 1964).
12. L. Landau, J. Phys. (Moscow) 10, 25 (1946).
13. B.D. Fried and S. D. Conte, The Plasma Dispersion Function, the Hilbert Transform of a Gaussian (Academic, New York, London, 1961).
14. V. P. Silin, Sov. Phys. JETP 11, 1136 (1960).
15. A. P. Prudnikov, Y. A. Brychkov, and O. Mariechev, Integrals and Series, Vol. 3: More Special Functions (Gordon and Breach, New York, 1990).
16. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals Series and Products, 4th ed. (Academic, New York, 1965).
17. K. Roach, in Proceedings of the International Symposium on Symbolic and Algebraic Computation (ISSAC) 1997, Meijer G Function Representations (Association for Computing Machinery, New York, 1997).
18. V. S. Adamchick and O. I. Manechev, The Algorithm for Calculating Integrals of Hypergeometric Type Functions and its Realization in REDUCE System, ISAAC 90 (Addison-Wesley, New York, 1990).
19. J. L. Fields, Math. Comput. 26, 757 (1972).
20. A. P. Prudnikov, Y. A. Brychkov, and O. Mariechev, Integrals and Series, Vol. I: Elementary Functions (Gordon and Breach, New York, 1990).
21. A. P. Prudnikov, Y. A. Brychkov, and O. Mariechev, Integrals and Series, Vol. 2: Special Functions (Gordon and Breach, New York, 1990).
22. A. P. Prudnikov, Y. A. Brychkov, and O. Mariechev, J. Sov. Math. 54, 1239 (1991).
23. M. Brambilla, Kinetic Theory of Plasma Waves (Oxford University Press, New York, 1998).
24. W. Baumjohann and R. A. Treumann, Basic Space Plasma Physics (Imperial College Press, London, 1996).