Current responses of first and second order in a collisionless plasma. III. three-wave interaction in periodic plasmas

Journal Article · Mon Aug 01 00:00:00 EDT 1983 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.525936· OSTI ID:5906432

Larsson, J

Three-wave interaction in a possibly strongly inhomogeneous plasma was considered in Paper II. These results are now generalized in order to treat also time-dependent periodic systems. The coupled mode equations as given in this paper are applicable to a very large class of unperturbed systems including those in Paper II and plasmas with self-consistent or in external oscillating field and also plasmas with some crystal symmetry in space-time. In the particular case when the relativistic Vlasov equation is used to describe the plasma we give symmetric expressions for the coupling coefficients such that the Manley--Rowe relations follow if wave--particle interaction is neglected.

• Research Organization: Department of Plasma Physics, Umea University, S-901 87 Umea, Sweden
• OSTI ID: 5906432
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 24:8
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
COLLISIONLESS PLASMA
RESONANCE
VARIATIONS
WAVE PROPAGATION
SOLID-STATE PLASMA
WAVE EQUATIONS
BOLTZMANN-VLASOV EQUATION
COUPLING CONSTANTS
ELECTROMAGNETIC INTERACTIONS
HERMITIAN OPERATORS
HILBERT SPACE
INHOMOGENEOUS PLASMA
LASER-RADIATION HEATING
PLASMA CONFINEMENT
PLASMA HEATING
SYMMETRY
VECTORS
BANACH SPACE
BASIC INTERACTIONS
CONFINEMENT
DIFFERENTIAL EQUATIONS
EQUATIONS
HEATING
INTERACTIONS
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
SPACE
TENSORS
700108* - Fusion Energy- Plasma Research- Wave Phenomena