The three-dimensional non-linear theory of the free electron laser in the amplifying configuration. Memorandum report

Technical Report · Mon Dec 28 04:00:00 EST 1981

OSTI ID:5143992

Sprangle, P; Tang, C

This paper presents a self-consistent non-linear treatment of the finite transverse dimensional effects associated with (1) the wiggler field, (2) the electron beam and (3) the radiation beam of the free electron laser (FEL) in a steady state amplifying configuration. Our formulation incorporates various efficiency enhancement schemes. A linearly polarized magnetic wiggler is used for our formulation. The inherent gradient of the magnetic wigglers in the transverse direction introduces betatron oscillations, which cause an increase in the effective axial beam temperature. The radiation beam in the presence of the electron beam and the magnetic wiggler experience diffraction as well as refraction effects. We find that the 3-D effects can lead to substantial differences in the effects compared to the 1-D theory. Finally a 3-D numerical illustration of a 10.6 micron FEL is given.

• Research Organization: Naval Research Lab., Washington, DC (USA)
• OSTI ID: 5143992
• Report Number(s): AD-A-110227/6; NRL-MR-4663
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
420300* -- Engineering-- Lasers-- (-1989)
BEAM DYNAMICS
BEAMS
BETATRON OSCILLATIONS
COHERENT SCATTERING
DIFFRACTION
EFFICIENCY
ELECTRICAL EQUIPMENT
ELECTROMAGNETS
ELECTRON BEAMS
EQUIPMENT
FREE ELECTRON LASERS
LASERS
LEPTON BEAMS
MAGNETS
OSCILLATIONS
PARTICLE BEAMS
REFRACTION
SCATTERING
THREE-DIMENSIONAL CALCULATIONS
WIGGLER MAGNETS