Covariant formalism for wave propagation applied to stimulated Raman scattering

Journal Article · Mon Feb 01 04:00:00 EST 1988 · Phys. Fluids; (United States)

DOI:https://doi.org/10.1063/1.866858· OSTI ID:5504284

McKinstrie, C J; DuBois, D F

The governing equations for stimulated Raman scattering are derived in a Lorentz frame moving with arbitrary velocity relative to the background plasma. These equations are fundamental to the study of relativistic beat-wave solitary waves, which have recently been proposed for particle acceleration by Mima et al. (Phys. Rev. Lett. 57, 1421 (1986)). An averaged Lagrangian density is constructed for this three-wave interaction. This results in a natural definition for the action flux density four-vector of each wave and the combined stress--energy tensor. It also follows from the Lagrangian structure of the system that the Manley--Rowe relations are satisfied. The covariant formalism presented here can also be used to study wave propagation in a multicomponent plasma, in which each plasma species moves with arbitrary velocity relative to the frame of observation. As a specific example, the dispersion relation for Langmuir-wave propagation in two warm relativistic electron beams is derived for the first time.

• Research Organization: Los Alamos National Laboratory, Los Alamos, New Mexico 87545
• OSTI ID: 5504284
• Journal Information: Phys. Fluids; (United States), Journal Name: Phys. Fluids; (United States) Vol. 31:2; ISSN PFLDA
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
700108* -- Fusion Energy-- Plasma Research-- Wave Phenomena
ACCELERATION
BEAMS
COHERENT SCATTERING
ELECTRON BEAMS
ENERGY RANGE
EQUATIONS
FUNCTIONS
LAGRANGIAN FUNCTION
LEPTON BEAMS
LORENTZ TRANSFORMATIONS
NONLINEAR PROBLEMS
PARTICLE BEAMS
PLASMA
QUASI PARTICLES
RAMAN EFFECT
RELATIVISTIC RANGE
RESONANCE
SCATTERING
SOLITONS
TRANSFORMATIONS