Transverse modes for flat inter-bunch wakes
Alexey Burov
TL;DR
This paper discusses the behavior of transverse modes in particle accelerators with flat inter-bunch wake fields, establishing conditions under which modes are coupled-bunch or single-bunch based on the flatness of wakes and feedback strength.
Contribution
It introduces the train theorem and damper theorem, providing theoretical conditions for mode structures in flat wakefield scenarios.
Findings
All coherent modes share the same coupled-bunch structure with flat wakes.
Strong flat feedback can suppress coupled-bunch modes, making them single-bunch.
Theorems clarify mode behavior under flat wakefield conditions.
Abstract
If inter-bunch wake fields are flat, i.e. their variations over a bunch length can be neglected, all coherent modes have the same coupled-bunch structure, provided the bunches can be treated as identical by their inner qualities (train theorem). If a flat feedback is strong enough, the transverse modes are single-bunch, provided the inter-bunch wakes are also flat (damper theorem).
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Taxonomy
TopicsParticle Accelerators and Free-Electron Lasers · Gyrotron and Vacuum Electronics Research · Particle accelerators and beam dynamics