Study of Collective Beam Instabilities using a Correleation-moment Analysis

Journal Article · Tue Oct 24 04:00:00 EDT 2006 · Phys.Rev.ST Accel.Beams 10:034402,2007

OSTI ID:894139

Heifets, S A; Chao, A W

A general formalism for treating simultaneously the transverse coupled bunch and transverse coupled mode instabilities is presented. In this approach, the equations of motion of a coupled multi-bunch beam are expanded to yield a system of equations involving correlation-moments of the transverse and longitudinal motions. After a proper truncation, the system of equations is closed and can be solved. This approach allows us to formulate within one framework several known instability mechanisms including the single bunch mode coupling instability, the coupled bunch instability, the mode coupling instability, and the coupled mode coupled bunch instability as particular cases.

• Research Organization: Stanford Linear Accelerator Center (SLAC)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 894139
• Report Number(s): SLAC-PUB-12171
• Journal Information: Phys.Rev.ST Accel.Beams 10:034402,2007, Journal Name: Phys.Rev.ST Accel.Beams 10:034402,2007
• Country of Publication: United States
• Language: English

Related Subjects

43 PARTICLE ACCELERATORS
Accelerators
ACCPHY
BEAM BUNCHING
EQUATIONS OF MOTION
INSTABILITY
LONGITUDINAL MOMENTUM
TRANSVERSE MOMENTUM