Research Of Dispersion Of ICRF Propagating In The Cold Plasma Of Tokamak

Most of the experimental Tokamak devices show that ICRF wave heating is the most effective method, which is also used in the majority of Tokamak device and will be used in the ITER reactor for the heating program. The location of the power to form different sediment profile for ICRF heating is changed mainly by the adjustment of resonance frequency. Therefore, the calculation of the resonance is important.In this thesis, the resonance frequency has been simulated in Matlab. The ICRF heating is investigated systematically. The troditional analytical method of calculating resonance position by striking a final y-x function expression, accesses to continuous solution. This thesis utilizes the collection of discrete (x, y) points. Compared to troditional analytic method, this solution is more close to reality, convenient for the analysis of subtle changes in the resonance line, and has the advantages of high universality. Chapter 1 states the important status of the ICRF heating from the perspective of MCF, while introducing the progress and the role of the dispersion relations. In chapter 2, the ideal cold plasma dispersion relations and the specific dispersion relations in Tokamak equipments are compactly derived by a two-fluid model. The propagation characteristics of the wave in Tokamak and the utilization of the fast magnetosonic wave to heat plasma are demonstrated, according to dispersion relations. In the third chapter, the physical mechanisms of ICRF heating, for both electronics and ion, are analyzed. The theoretical principle and to-analog converter of the ICRF heating are also introduced. In chapter 4, the plasma density and magnetic field intensity distribution in Tokamak device are considered firstly. The cut-off and the resonance are caculated, by virtue of the dispersion relations. the position of the cut-off and resonance is simulated in detail. The optimal parameters of the simulation results are so determined,at the end,the viriation law of ICRF reasonance position is obtained. In the last chapter, the error between the simulation results and troditional analytical solutions is analysised. If the nonlinear dynamic (kinetic) theory and relevant model are used, more detailed and accurate conclusions could be obtained for the experimental and theoretical guidance.