The energy of a wave packet
- 1 June 1985
- journal article
- research article
- Published by IOP Publishing in Plasma Physics and Controlled Fusion
- Vol. 27 (6) , 691-707
- https://doi.org/10.1088/0741-3335/27/6/005
Abstract
The effects of initial conditions, nonlinearity and resonant particles, which are not included in the usual formula in terms of the dielectric permittivity for wave energy density, are derived from a rigorous solution of the initial value problem to second order in the amplitude of electron waves propagating parallel to a static magnetic field in a homogeneous collisionless plasma. Wave energy is found to propagate at two speeds, the group velocity and the velocity of resonant electrons. Energy conservation is derived.This publication has 5 references indexed in Scilit:
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- Van Kampen and Case Formalism Applied to Linear and Weakly Nonlinear Initial Value Problems in Unmagnetized PlasmaContributions to Plasma Physics, 1982
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- Nonlinear plasma oscillations in terms of Van Kampen modesPhysica, 1974
- Initial-value problem for plasma oscillations in a uniform magnetic fieldAnnals of Physics, 1972