Three-dimensional theory of the free-electron laser in the collective regime

Journal Article · Thu Dec 01 04:00:00 EST 1983 · Phys. Rev. A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.28.3438· OSTI ID:5409166

Freund, H P; Ganguly, A K

A fully self-consistent theory of the free-electron laser is derived in the collective regime which includes all transverse variations in the wiggler field as well as the effects of a finite waveguide geometry. A general orbit theory is derived by perturbation about the steady-state trajectories in a configuration which consists of an axial guide field in addition to the helical wiggler field, and used to obtain the source current and charge density for the Maxwell-Poisson equations. By this means, a set of coupled differential equations is found which describes an arbitrary radial beam profile. A dispersion equation is obtained under the assumption of a thin monoenergetic beam, and solved numerically for the growth rates of the TE/sub 11/ and TM/sub 11/ modes in a cylindrical waveguide. A selection rule is found by which the TE/sub l/m or TM/sub l/m modes are resonant at the lth free-electron-laser Doppler upshift.

• Research Organization: Naval Research Laboratory, Washington, D.C. 20375
• OSTI ID: 5409166
• Journal Information: Phys. Rev. A; (United States), Journal Name: Phys. Rev. A; (United States) Vol. 28:6; ISSN PLRAA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
AXIAL SYMMETRY
CHARGE DENSITY
CONFIGURATION
DISPERSION RELATIONS
ENERGY RANGE
FREE ELECTRON LASERS
HELICAL CONFIGURATION
LASERS
MAGNETIC FIELDS
RELATIVISTIC RANGE
SELECTION RULES
SYMMETRY
THREE-DIMENSIONAL CALCULATIONS
TRAJECTORIES