Analytic descriptions of ion cyclotron absorption

Conference · Fri May 01 04:00:00 EDT 1987

OSTI ID:6458847

Bers, A; Francis, G; Fuchs, V; Lashmore-Davies, C N; Ram, A K

Analysis of energy propagation and absorption in ion-cyclotron heating of tokamak plasmas has relied on numerical solutions of fourth (and sixth) order differential equations for slab models of the plasma (poloidal) cross section. Realistic two-dimensional and fully toroidal geometry analyses would become quite unwieldy. It is shown here that the analysis of the slab model can be simplified considerably. A first-order differential equation is shown to describe the transmission coefficient for the fast wave, and it is solved analytically. A second order differential equation is shown to adequately describe both transmission and reflection. Conditions for ion absorption or mode conversion are derived. Including toroidal effects in propagation, conditions for electron absorption on the mode-converted ion-Bernstein waves are also described analytically.

• Research Organization: Massachusetts Inst. of Tech., Cambridge (USA). Plasma Fusion Center; Institut de Recherche d'Hydro-Quebec, Varennes (Canada). Projet Tokamak; UKAEA Culham Lab., Abingdon
• DOE Contract Number: AC02-78ET51013
• OSTI ID: 6458847
• Report Number(s): DOE/ET/51013-222; PFC/CP-87-10; CONF-870629-7; ON: DE87011037
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700101* -- Fusion Energy-- Plasma Research-- Confinement
Heating
& Production
700108 -- Fusion Energy-- Plasma Research-- Wave Phenomena
ANALYTICAL SOLUTION
BERNSTEIN MODE
CLOSED PLASMA DEVICES
CYCLOTRON RESONANCE
DAMPING
DIFFERENTIAL EQUATIONS
ELECTRONS
ELEMENTARY PARTICLES
ENERGY TRANSPORT
EQUATIONS
FERMIONS
HEATING
HIGH-FREQUENCY HEATING
ICR HEATING
ION CYCLOTRON-RESONANCE
LANDAU DAMPING
LEPTONS
MATHEMATICS
NUMERICAL ANALYSIS
OSCILLATION MODES
PERTURBATION THEORY
PLASMA HEATING
RESONANCE
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
WAVE PROPAGATION