Dortmund 2021 – scientific programme
Parts | Days | Selection | Search | Updates | Downloads | Help
AKBP: Arbeitskreis Beschleunigerphysik
AKBP 1: Beam Dynamics
AKBP 1.2: Talk
Monday, March 15, 2021, 16:15–16:30, AKBPa
TRIB optics examined by Lie algebraic tools — •Jernej Frank1,2, Michael Arlandoo1, Paul Goslawski1, Ji Li1, Tom Mertens1, and Markus Ries1 — 1Helmholtz-Zentrum Berlin für Materialien und Energie — 2Freie Universität Berlin
At BESSY II in Berlin, a third-generation synchrotron light source facility, two orbits can be populated with different electron bunch fill patterns and provide to some extent two different radiation sources offering unique possibilities to its users. The second stable orbit in the machine was successfully produced by generating Transverse Resonance Island Buckets (TRIBs). In an ongoing effort to get a theoretical handle on the non-linear contributions that lead to TRIBs, we employ Lie algebraic theory to classify effects by order of non-linearity. In contrast to pure numerical particle tracking these tools allow us to enter the "black box" and examine qualitative behaviors such as the impact of symmetry breaking in the operator algebra context usually encountered in quantum field theory. As the whole machine is too complex, we present simple toy models (sections of the optical lattice) that demonstrate the non-linear behavior of the individual machine elements and their impact on lattice design. This contribution revisits Lie algebraic theory as a vital tool for the theoretical understanding of non-linear dynamics and gives a progress report about the importance of basic machine elements that are usually approximated to the linear regime, but produce rich non-linear effects that should not be neglected.