Free Electron Laser Instability for a Relativistic Solid Electron Beam in a Helical Wiggler Field
Abstract
The free electron laser instability for a solid relativistic electron beam propagating in combined transverse helical wiggler and uniform axial guide fields is investigated within the framework of the linearized Vlasov-Maxwell equations. Stability properties are investigated for the choice of equalibrium distribution function in which all electrons have the same value of the linear combination of transverse and helical invariants. The instability growth rate is calculated including a determination of the optimum value of the ratio of beam radius to conducting wall radius for maximum growth. It is found that the maximum growth rate for a solid electron beam is comparable to that for a hollow beam with similar parameters. Moreover, the introduction of a small axial momentum spread significantly reduces the instability growth rate.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1981
- Accession Number
- ADA103523
Entities
People
- Han S. Uhm
- Ronald C. Davidson
Organizations
- Naval Ordnance Laboratory