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

Technical Report · Thu May 01 04:00:00 EDT 1986

OSTI ID:5749710

Davidson, R C; Wurtele, J W; 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/ = e circumflex B/sub w/mc/sup 2/k/sub 0/). The analysis is carried out for perturbations about an equilibrium BGK state in which the distribution of beam electrons G/sub s/(..gamma..') and the wiggler magnetic field coexist in quasi-steady equilibrium with a finite-amplitude, circularly polarized, primary electromagnetic wave (..omega../sub s/,k/sub s/) with normalized amplitude a/sub s/ = e circumflex B/sub s//mc/sup 2/k/sub s/. Particular emphasis is placed on calculating detailed properties of the sideband instability for the case where a uniform distribution of trapped electrons is localized near the bottom of the ponderomotive potential moving with velocity v/sub p/ = ..omega../sub s//(k/sub s/ + k/sub 0/) relative to the laboratory frame.

• Research Organization: Massachusetts Inst. of Tech., Cambridge (USA). Plasma Fusion Center
• DOE Contract Number: W-7405-ENG-36; AC02-78ET51013
• OSTI ID: 5749710
• Report Number(s): PFC/JA-86-33; ON: DE86011874
• Country of Publication: United States
• Language: English

Related Subjects

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ELECTROMAGNETIC RADIATION
ELECTRONS
ELEMENTARY PARTICLES
FERMIONS
FREE ELECTRON LASERS
INSTABILITY
LASERS
LEPTONS
MAGNETIC FIELDS
PLASMA INSTABILITY
RADIATIONS
TRAPPING