Incoherent emission of an electron beam in a free electron laser rectangular waveguide

Journal Article · Thu Aug 15 04:00:00 EDT 1985 · J. Appl. Phys.; (United States)

DOI:https://doi.org/10.1063/1.336072· OSTI ID:5573983

Elias, L; Gallardo, J; Gregoire, D

A calculation is presented of the incoherent radiation emitted by an electron beam of finite radius passing through a linearly polarized magnetic undulator in a rectangular waveguide with perfect conducting walls. This analysis is based on the Fourier component of the Lienard--Wiechert fields. The metallic boundary conditions are exactly incorporated in the formalism by means of the ''image currents'' method. In the Fresnel approximation, we show that the double infinite sum over ''images'' is transformed into one over ''vertical modes,'' consisting of trigonometric functions. The discrete frequency spectrum and angular distribution of the radiation are studied for several energy spread and electron beam radius cases. The predicted radiation patterns provide useful diagnostics to determine the electron beam properties (trajectories, energy and angular spread, betatron oscillation). The amount of relative power emitted on each mode is a gaussian function exp(-an/sup 2/).

• Research Organization: Quantum Institute, University of California, Santa Barbara, California 93106
• OSTI ID: 5573983
• Journal Information: J. Appl. Phys.; (United States), Journal Name: J. Appl. Phys.; (United States) Vol. 58:4; ISSN JAPIA
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
640301 -- Atomic
Molecular & Chemical Physics-- Beams & their Reactions
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BEAMS
BOUNDARY CONDITIONS
DATA
ELECTROMAGNETIC RADIATION
ELECTRON BEAMS
ENERGY SPECTRA
FREE ELECTRON LASERS
INFORMATION
LASERS
LEPTON BEAMS
MAGNETIC FIELDS
MATHEMATICAL MODELS
NUMERICAL DATA
PARTICLE BEAMS
POWER
RADIATIONS
SPECTRA
THEORETICAL DATA
TRAJECTORIES
WAVEGUIDES