Physics
Scientific paper
Dec 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002agufmsm21b0546n&link_type=abstract
American Geophysical Union, Fall Meeting 2002, abstract #SM21B-0546
Physics
2772 Plasma Waves And Instabilities
Scientific paper
A method to calculate linear dispersion relation of electromagnetic waves in a relativistic plasma is proposed. Exact analytic calculation with relativistic cyclotron resonances is extremely difficult because the cyclotron frequency depends on both parallel and perpendicular (to magnetic field) velocities due to the relativistic effect. To avoid this difficulty, the method presented here makes use of algebraic approximation to the velocity distribution function. Algebraic approximation enables analytical velocity integration with the residue theorem; results are highly accurate when applied to non-relativistic calculation (see references). The same tactics can be applied for relativistic plasmas, however, there comes a problem of branch cut and multiple Riemann surfaces. This problem must be overcome by ad hoc technique depending on each specific wave mode. Calculation for a parallel propagating electromagnetic wave in a relativistic plasma will be presented as an example. References: Lofgren et al., Phys. Plasmas, vol 4, 1124 (1997). Nakamura, T. K., and M. Hoshino, Phys. Plasmas, vol 5, 3547 (1998).
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