I.3 — Transverse beam dynamics
DOI:
https://doi.org/10.23730/CYRSP-2024-003.73Abstract
The transverse beam dynamics of charged particles in an accelerator describes the movement of single particles under the influence of external transverse bending and focusing fields with main focus on synchrotrons or storage rings. Starting from the basic principles of how to design the geometry of the ring we develop the transverse motion of the particles under the influence of external fields, motivate the equation of motion and show the solutions for typical storage ring elements. In a second step the concept of emittance of the particle ensemble is introduced as well as the beta function, which reflects the overall focusing properties of the ring. The adiabatic shrinking due to Liouville’s theorem is discussed and—in linear approximation—the effects arising from a non-vanishing momentum spread of the beam, like dispersion and chromaticity.
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