Asymptotic analysis of lower-hybrid wave propagation in tokamaks

Journal Article · Sat Mar 01 04:00:00 EST 1986 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.866017· OSTI ID:6171455

Cardinali, A; Romanelli, F

An asymptotic analysis of the lower hybrid wave propagation in toroidal geometry is presented which relies on the difference in magnitude between the parallel and perpendicular wave vectors when the wave frequency is of the order of the ion plasma frequency. Using the method of matched asymptotic expansions, the equation for the radial position of the ray is solved and the effects of the toroidal corrections are discussed. Moreover, the equation for the parallel wave vector is derived and analytically solved by using a multiple scale analysis. The latter solution is asymptotically matched to a local exact solution near the plasma edge where the multiple scale analysis breaks down. The result of the asymptotic analytical treatment is compared with the findings of a numerical integration of the starting set of equations. Finally, using the previous results, the equation for the variation of the electric field amplitude along the trajectory is analytically solved.

• Research Organization: Associazione EURATOM-ENEA sulla Fusione, Centro Ricerche Energia Frascati, C.P. 65, 00044 Frascati, Rome, Italy
• OSTI ID: 6171455
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 29:3; ISSN PFLDA
• 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
AMPLITUDES
ANALYTICAL SOLUTION
ASYMPTOTIC SOLUTIONS
CLOSED PLASMA DEVICES
CORRELATIONS
ELECTRIC FIELDS
HEATING
HIGH-FREQUENCY HEATING
LOWER HYBRID HEATING
PLASMA
PLASMA HEATING
SCALING LAWS
SERIES EXPANSION
THERMONUCLEAR DEVICES
TOKAMAK DEVICES
TRAJECTORIES