A nonlocal analysis of electrostatic waves in hot inhomogeneous bounded plasmas

Journal Article · Thu Mar 01 04:00:00 EST 1990 · Physics of Fluids B; (USA)

DOI:https://doi.org/10.1063/1.859337· OSTI ID:7242821

Sauter, O; Vaclavik, J; Skiff, F ^[1]

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1. Centre de Recherches en Physique des Plasmas, Association Euratom-Conf ederation Suisse, Ecole Polytechnique Federale de Lausanne, 21, Av. des Bains, CH-1007 Lausanne (Switzerland)

A numerical code, SEAL, solving the full form of a second-order integrodifferential equation that describes electrostatic waves in a slab plasma is presented. No expansion in the smallness of the ion Larmor radius is made. The plasma may have arbitrary density and temperature profiles and is immersed in a nonuniform magnetic field. Only small magnetic field gradients, Maxwellian equilibrium distribution functions, and {ital k}{sub {ital y}} =0 are assumed. First the integral equation is derived in Fourier space using the linearized Vlasov and Poisson equations, and then it is transformed back into real space, which enables us to treat the case of bounded plasmas. The two boundary conditions specified simulate an antenna at one end of the plasma and wave-reflecting walls. Solutions having wavelengths smaller than the ion Larmor radius have been found. Comparison with experiments where ion Bernstein waves are launched in argon and barium plasmas shows very good agreement with the solution of the code SEAL. A positive-definite formula for the local power absorption is also derived and computed.

• OSTI ID: 7242821
• Journal Information: Physics of Fluids B; (USA), Journal Name: Physics of Fluids B; (USA) Vol. 2:3; ISSN 0899-8221; ISSN PFBPE
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
ABSORPTION
BOLTZMANN STATISTICS
BOLTZMANN-VLASOV EQUATION
BOUNDARY CONDITIONS
COMPUTER CODES
DIFFERENTIAL EQUATIONS
ENERGY ABSORPTION
EQUATIONS
FOURIER TRANSFORMATION
HOT PLASMA
INHOMOGENEOUS PLASMA
INTEGRAL EQUATIONS
INTEGRAL TRANSFORMATIONS
LARMOR RADIUS
NUMERICAL SOLUTION
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA WAVES
POISSON EQUATION
SLABS
TRANSFORMATIONS