Cite this article:
Gupta (2006). Generalized dispersion relation for radio wave in Ion cyclotron frequency range of fusion plasma. Journal of Ravishankar University (Part-B: Science), 19(1), pp.33-51.
Journal
of Ravishankar University Vol.19 No. B (Science) 2006 pp 33-51
ISSN 0970-5910
Generalized dispersion
relation for radio wave in Ion cyclotron frequency range of fusion plasma
M.S. Gupta
Department of mathematics and IT
Govt. College of Science G E Road Raipur 492010
India
Abstract: For radio frequency heating the main requirement is that it should be
possible to launch a wave from the plasma edge get coupled to the plasma travel
with minimum losses up to Core and deposit the power at the required position
in the plasma corresponding to the cyclotron resonance layer. Radio frequency
heating Falls into four major frequency ranges where in the wave excited at the
edge Mein propagate into the central region and be absorbed in the range of Ion
cyclotron resonance frequencies. Having search property of radiofrequency
heating in mind we have derived a three-dimensional dispersion relation for
ALPHA SYMBOL electrons and ions deuterium species. If we use the parameters of
JIPPT-IIU tokamak (Sy.W.N.C Amano et.al. 1985), we find the dispersion relation with
complex coefficients from the derived dispersion relation we have seen that few
models are free from the temperature, which are known as cold plasma modes
while others exist due to effect of temperature that are called warm plasma
modes. Since the analytical solution is very complicated, a computer code for
the solution of such complicated dispersion relation may be needed. For
separation of the roots, one can insert many exiting dispersion relations in
the computer code and compare the two to identify the nature of relevant root.
Through the computer code the plasma parameters as frequency, ion temperature,
electron temperature, deuterium percentage, ion density, electron density,
propagation angle, etc. can be varied.
The case for two dimensions recovered by (Stix,
1962) for cold as well as warm plasma with some approximations recovered.
Generally the dispersion relations have been derived for propagation parallel
and perpendicular to the magnetic field but from our dispersion relation we can
study propagation at any angle to the magnetic
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