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A second order integro-differential equation that describes electrostatic waves in a slab plasma is solved in its full form. 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 non-uniform magnetic field. Only small magnetic field gradients, Maxwellian equilibrium distribution functions and k(y) = 0 are assumed. First the integral equation is derived in Fourier space using the linearised Vlasov and Poisson equations, then it is transformed back into real space 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 derived.

Additional information

Authors: SAUTER O, Centre de Recherches en Physique des Plasmas, École Polytechnique Fédérale de Lausanne (CH);VACLAVIK J, Centre de Recherches en Physique des Plasmas, École Polytechnique Fédérale de Lausanne (CH);SKIFF F, Laboratory for Plasma Research, University of Maryland, College Park (US)
Bibliographic Reference: Report: LRP 377/89 EN (1989)
Availability: Available from Confédération Suisse, Centre de Recherches en Physique des Plasmas, Ecole Polytechnique Fédérale de Lausanne, 21 avenue des Bains, 1007 Lausanne (CH)
Record Number: 198910853 / Last updated on: 1994-12-01
Original language: en
Available languages: en
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