In Ion-cyclotron Resonance Heating
نویسنده
چکیده
We determine the conditions under which the damping of the fast Alfven wave, used in the heating of tokamak plasmas, can be described by the geometrical optics approximations. Also, for these conditions, we derive an analytical formula which explicitly determines the amount of energy which is damped onto the plasma particles by the fast wave. The conditions for the validity of the geometrical optics approximations cover a wide range of k 1's (the component of the wave-vector parallel to the total magnetic field). There is a narrow range of kj1's over which our analysis is not valid; this is the regime where modeconversion is dominant. The results from our theory are in excellent agreement with those obtained from numerical solutions of fourth and sixth order differential equations that are commonly to describe this type of heating. However, our theory has a distinct advantage of lending itself to detailed scaling studies as explicit expressions for the damping of the fast Alfv6n wave are obtained.
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