Kinetic analysis of the sideband instability in a helical wiggler free-electron laser for electrons trapped near the bottom of the ponderomotive potential

Journal Article · Wed Oct 01 04:00:00 EDT 1986 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.34.3063· OSTI ID:5226529

Davidson, R C; Wurtele, J S; Aamodt, R E

A kinetic formalism based on the Vlasov-Maxwell equations is used to investigate properties of the sideband instability for a tenuous, relativistic electron beam propagating through a constant-amplitude helical wiggler magnetic field (wavelength lambda/sub 0/ -- 2..pi../k/sub 0/ and normalized amplitude a/sub w/ -- eB-circumflex/sub w//mc/sup 2/k/sub 0/). The analysis is carried out for perturbations about an equilibrium Bernstein-Greene-Kruskal state in which the distribution of beam electrons G/sub s/(..gamma..') and the wiggler magnetic field coexist in quasisteady equilibrium with a finite-amplitude, circularly polarized, primary electromagnetic wave (..omega../sub s/,k/sub s/) with normalized amplitude a/sub s/ -- eB-circumflex/sub s//mc/sup 2/k/sub s/ and constant equilibrium wave phase.

• Research Organization: Plasma Fusion Center, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
• OSTI ID: 5226529
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 34:4; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
DIFFERENTIAL EQUATIONS
ELECTRICAL EQUIPMENT
ELECTROMAGNETS
ELECTRONS
ELEMENTARY PARTICLES
EQUATIONS
EQUIPMENT
FERMIONS
FREE ELECTRON LASERS
INSTABILITY
KINETICS
LASERS
LEPTONS
MAGNETS
MAXWELL EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
POTENTIALS
TRAPPING
WIGGLER MAGNETS