One-over-polynomial approximation for linear kinetic dispersion and its application to relativistic cyclotron resonance

Physics of Plasmas

Volumn 5, Issue 10, 1998, Pages 3547-3551

  Nakamura, Tadas K ^a,b   Hoshino, Masahiro ^a  

^a JAPAN AEROSPACE EXPLORATION AGENCY   (Japan)

^b FUKUI PREFECTURAL UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; CYCLOTRON RESONANCE; FUNCTIONS; INTEGRATION; KINETIC THEORY; MAXWELL EQUATIONS; PLASMA OSCILLATIONS; POLYNOMIALS;

DISTRIBUTION FUNCTIONS; LINEAR KINETIC DISPERSION; PLASMA DISPERSION;

MAGNETOPLASMA;

EID: 0032185821     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.873072     Document Type: Article

References (16)

1. Most of the basic text books address this topic. The authors referred to W. Baumjohann and R. A. Treumann, Basic Space Plasma Physics (Imperial College Press, London, 1996); K. Miyamoto, Plasma Physics for Nuclear Fusion (MIT Press, Cambridge, 1989).
2. Most of the basic text books address this topic. The authors referred to W. Baumjohann and R. A. Treumann, Basic Space Plasma Physics (Imperial College Press, London, 1996); K. Miyamoto, Plasma Physics for Nuclear Fusion (MIT Press, Cambridge, 1989).
3. P. Martín, G. Donoso, and J. Zamudio-Cristi. J. Math. Phys. 21, 280 (1980); G. Németh, Á. Ág, and G. Páris, ibid. 22, 1192 (1981).
4. P. Martín, G. Donoso, and J. Zamudio-Cristi. J. Math. Phys. 21, 280 (1980); G. Németh, Á. Ág, and G. Páris, ibid. 22, 1192 (1981).
5. B. A. Trubnikov, "Electromagnetic waves in a relativistic plasma in a magnetic field," in Plasma Physics and the Problem of Controlled Thermonuclear Reactions, edited by M. A. Leontovich (Pergamon, New York, 1959), p. 122.
6. I. P. Shkarofsky, Phys. Fluids 9, 561 (1966); S. T. Tsai, C. S. Wu, Y. D. Wang, and S. W. Kang, ibid. 24, 2186 (1981); A. C. Airoldi and A. Orefice, J. Plasma Phys. 27, 515 (1983); P. H. Yoon and R. C. Davidson, ibid. 43, 269 (1990).
7. I. P. Shkarofsky, Phys. Fluids 9, 561 (1966); S. T. Tsai, C. S. Wu, Y. D. Wang, and S. W. Kang, ibid. 24, 2186 (1981); A. C. Airoldi and A. Orefice, J. Plasma Phys. 27, 515 (1983); P. H. Yoon and R. C. Davidson, ibid. 43, 269 (1990).
8. I. P. Shkarofsky, Phys. Fluids 9, 561 (1966); S. T. Tsai, C. S. Wu, Y. D. Wang, and S. W. Kang, ibid. 24, 2186 (1981); A. C. Airoldi and A. Orefice, J. Plasma Phys. 27, 515 (1983); P. H. Yoon and R. C. Davidson, ibid. 43, 269 (1990).
9. I. P. Shkarofsky, Phys. Fluids 9, 561 (1966); S. T. Tsai, C. S. Wu, Y. D. Wang, and S. W. Kang, ibid. 24, 2186 (1981); A. C. Airoldi and A. Orefice, J. Plasma Phys. 27, 515 (1983); P. H. Yoon and R. C. Davidson, ibid. 43, 269 (1990).
10. C. Hastings, Approximations for Digital Computers (Princeton University Press, Princeton, 1955).
11. S. Wolfram, MATHEMATICA (Addison-Wesley, New York, 1996).
12. C. S. Wu and L. C. Lee, Astrophys. J. 230, 621 (1979); D. B. Melrose, K. G. Rönnmark and R. G. Hewitt, J. Geophys. Res. 87, 5140 (1982); P. L. Pritchett, ibid. 89, 8957 (1984).
13. C. S. Wu and L. C. Lee, Astrophys. J. 230, 621 (1979); D. B. Melrose, K. G. Rönnmark and R. G. Hewitt, J. Geophys. Res. 87, 5140 (1982); P. L. Pritchett, ibid. 89, 8957 (1984).
14. C. S. Wu and L. C. Lee, Astrophys. J. 230, 621 (1979); D. B. Melrose, K. G. Rönnmark and R. G. Hewitt, J. Geophys. Res. 87, 5140 (1982); P. L. Pritchett, ibid. 89, 8957 (1984).
15. ∥ we need to retain this term. In this case the integration of this term over x becomes much more complicated since the square root as a complex function has a branch cut in the complex plane. This calculation is out of the scope of the present paper.
16. T. K. Nakamura, Phys. Plasmas 4, 3765 (1997).