Title :
Landau Damping for Students
Author :
Alexeff, Igor ; Ishihara, Osamu
Author_Institution :
The University of Tennessee Knoxville, Tennessee 37916
fDate :
6/1/1978 12:00:00 AM
Abstract :
By using the linearized equations of motion for particle streams, and by properly including the initial conditions, Landau´s equations for electrostatic wave propagation with the correct damping decrement are easily obtained. No Vlasov equation, Laplace transform, contour integration, evaluation of residues at singularities, or analytical continuation is required. A discussion of the validity of the linearization is included.
Keywords :
Africa; Damping; Differential equations; Electrostatics; H infinity control; Laplace equations; Mathematics; Physics; Steady-state;
Journal_Title :
Plasma Science, IEEE Transactions on
DOI :
10.1109/TPS.1978.4317111