Réal R. J. Gagné

Splitting schemes for the numerical solution of a two-dimensional Vlasov equation

Abstract Splitting schemes are applied to the numerical solution of a two-dimensional Vlasov equation. Results obtained when solving the equation in configuration space, by treating the convective term and the acceleration term separately, are compared with results previously obtained using a different method where the two-dimensional Vlasov equation was transformed in velocity space using Hermite polynomials expansion.

Nonlinear behavior of a monochromatic wave in a one‐dimensional Vlasov plasma

The nonlinear evolution of a monochromatic wave in a one‐dimensional Vlasov plasma is studied numerically. The numerical results are carried out far enough in time for phase mixing to dominate the asymptotic state of the system. A qualitative comparison with previously reported simulations is given.

Numerical solution of the vlasov equation by transform methods

A method is described whereby a pseudo collision operator is formally added to the Vlasov equation in order to eliminate the recurrence effect when numerically solving the Vlasov equation via a hermitian polynomials expansion. This is done with the intent of developing a two-dimensional scheme for the numerical solution of the Vlasov equation. (MOW)

Numerical solution of a two-dimensional Vlasov equation

Abstract By means of a Hermite polynomials expansion in velocity space of the distribution function, the two-dimensional Vlasov equation is solved numerically by applying a multistep technique. We first study the case of a two-dimensional strongly nonlinear Landau damping, where a large amplitude oscillation is initially applied to the system. A second case is considered where an initially stable oscillation is applied to two-dimensional counter-streaming plasmas. The time evolution of these systems is studied and the performance of the numerical code is analyzed.

Dielectric Losses in an H-Plane-Loaded Rectangular Waveguide (Short Papers)

The attenuation constant due to dielectric losses in a rectangular waveguide loaded with a dielectric slab in the H-plane is calculated. Results for the dominant LSM/sub 11/ mode are presented graphically.

Propagation of waves in rectangular waveguides containing dielectric layers in the H-plane

Rectangular waveguides, containing dielectric layers in the H-plane, are studied. Results on normalized phase constant, cut-off frequency, and attenuation constant under cut-off, are presented for lower-order longitudinal section modes. Data have been computed from characteristic equations obtained by the matching of the tangential field components at the dielectric interfaces.

Amplitude Oscillations of a Monochromatic Wave in a One-Dimensional Plasma

The amplitude oscillations of a monochromatic wave propagating in a one-dimensional Vlasov plasma are studied numerically. The results for the nonlinear evolution of the wave show very good qualitative agreement with the theory.