Saw-Tooth Instability Studies at the Stanford Linear Collider Damping Rings

Technical Report · Wed Dec 01 04:00:00 EST 1999

DOI:https://doi.org/10.2172/1454216· OSTI ID:1454216

Podobedov, Boris V. ^[1]

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1. SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States); Stanford Univ., CA (United States)

The subject of this thesis is particle dynamics in storage rings. A storage ring is a device used to hold a large number of relativistically moving charged particles for a relatively long time maintaining their energy constant. Conceptually, a storage ring is a donut-shaped vacuum pipe surrounded by magnets that bend particle trajectories around the pipe. Another set of magnets - so called quadrupoles, produce additional fields to focus particles in the direction transverse to their motion. Stored charge constantly loses its energy due to synchrotron radiation and some other processes. To make up for this loss, energy is supplied to the particles through the so-called RF cavities that produce electric field in the longitudinal direction. Another effect of RF cavities is that they force particles to bunch longitudinally. Therefore, in the coordinate frame comoving with the bunch a combination of quadrupoles and RF cavities provides focusing in all three spatial coordinates. This is why in that coordinate frame particle motion is similar to a 3D harmonic oscillator. The three frequencies of this oscillator normalized to the revolution frequency are usually called the tunes.

• Research Organization: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC02-76SF00515
• OSTI ID: 1454216
• Report Number(s): SLAC-R-543
• Country of Publication: United States
• Language: English

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