Free Electron Lasers with Slowly Varying Beam and Undulator Parameters

Conference · Wed May 25 00:00:00 EDT 2005

OSTI ID:890810

Huang, Z; Stupakov, G

The performance of a free electron lasers (FEL) is affected when the electron beam energy varies alone the undulator as would be caused by vacuum pipe wakefields and/or when the undulator strength parameter is tapered in the small signal regime until FEL saturation. In this paper, we present a self-consistent theory of FELs with slowly-varying beam and undulator parameters. A general method is developed to apply the WKB approximation to the beam-radiation system by employing the adjoint eigenvector that is orthogonal to the eigenfunctions of the coupled Maxwell-Vlasov equations. This method may be useful for other slowly varying processes in beam dynamics.

• Research Organization: Stanford Linear Accelerator Center (SLAC)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 890810
• Report Number(s): SLAC-PUB-11239
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
ACCELERATORS
Accelerators
ACCPHY
XFEL
BEAM DYNAMICS
EIGENFUNCTIONS
EIGENVECTORS
ELECTRON BEAMS
FREE ELECTRON LASERS
PERFORMANCE
SATURATION
WIGGLER MAGNETS
WKB APPROXIMATION