Parabolic approximation method for the mode conversion-tunneling equation
The derivation of the wave equation which governs ICRF wave propagation, absorption, and mode conversion within the kinetic layer in tokamaks has been extended to include diffraction and focussing effects associated with the finite transverse dimensions of the incident wavefronts. The kinetic layer considered consists of a uniform density, uniform temperature slab model in which the equilibrium magnetic field is oriented in the z-direction and varies linearly in the x-direction. An equivalent dielectric tensor as well as a two-dimensional energy conservation equation are derived from the linearized Vlasov-Maxwell system of equations. The generalized form of the mode conversion-tunneling equation is then extracted from the Maxwell equations, using the parabolic approximation method in which transverse variations of the wave fields are assumed to be weak in comparison to the variations in the primary direction of propagation. Methods of solving the generalized wave equation are discussed. 16 refs.
- Research Organization:
- Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States)
- DOE Contract Number:
- AC02-76CH03073
- OSTI ID:
- 6008817
- Report Number(s):
- PPPL-2460; ON: DE88000115
- Resource Relation:
- Other Information: Portions of this document are illegible in microfiche products. Original copy available until stock is exhausted
- Country of Publication:
- United States
- Language:
- English
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TOKAMAK DEVICES
ICR HEATING
DIELECTRIC TENSOR
ELECTRIC FIELDS
MAGNETIC FIELDS
MAXWELL EQUATIONS
WAVE EQUATIONS
CLOSED PLASMA DEVICES
DIFFERENTIAL EQUATIONS
EQUATIONS
HEATING
HIGH-FREQUENCY HEATING
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA HEATING
TENSORS
THERMONUCLEAR DEVICES
700108* - Fusion Energy- Plasma Research- Wave Phenomena