Tranverse beam break up in a periodic linac

Conference · Thu Jan 01 00:00:00 EST 1987

OSTI ID:6414325

Decker, G; Wang, J M

The problem of cumulative beam break up in a periodic linac for a general impedance is discussed, with the effects of acceleration included. The transverse equations of motion for a set of identical point like bunches moving along the length of the linac are cast into a simple form using a smooth approximation. This results in a working formula that is used to analyze beam breakup. Explicit expressions for the transverse motion in the case of a single resonance impedance are found using saddle point integration. This is done first with no external focusing, and again in the strong focusing limit.

• Research Organization: Brookhaven National Lab., Upton, NY (USA)
• DOE Contract Number: AC02-76CH00016
• OSTI ID: 6414325
• Report Number(s): BNL-39593; CONF-870302-184; ON: DE87010053
• Resource Relation: Conference: Particle accelerator conference, Washington, DC, USA, 16 Mar 1987; Other Information: Portions of this document are illegible in microfiche products
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
LINEAR ACCELERATORS
BEAM DYNAMICS
ANALYTICAL SOLUTION
BEAM OPTICS
EQUATIONS OF MOTION
FOCUSING
RESONANCE
ACCELERATORS
DIFFERENTIAL EQUATIONS
EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
430200* - Particle Accelerators- Beam Dynamics
Field Calculations
& Ion Optics