Asymptotic Theory of Beam Break-Up in Linear Accelerators
Open Access
- 1 February 1968
- journal article
- Published by AIP Publishing in Review of Scientific Instruments
- Vol. 39 (2) , 206-212
- https://doi.org/10.1063/1.1683315
Abstract
The phenomenon of radial beam break-up observed in terms of long, multi-section electron linear accelerators has been analyzed using a multi-cavity model. In this model the source of regeneration due to backward wave amplification is ignored. The dominant phenomenon involves build-up of radial modes in each cavity as coupled by the electron beam. The resulting differential equations are integrated by the method of steepest descent and by a numerical iteration method. Scaling laws in terms of the pulse length, beam intensity, energy gradient, and length of the structure are derived.Keywords
This publication has 3 references indexed in Scilit:
- Pulse Shortening Effect in Linear AcceleratorsJapanese Journal of Applied Physics, 1964
- Pulse-shortening in Electron Linear AcceleratorsNature, 1960
- Some Considerations Concerning the Transverse Deflection of Charged Particles in Radio-Frequency FieldsReview of Scientific Instruments, 1956