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
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.