TY  - CONF
AU  - Vogt, Mathias
AU  - Amstutz, Philipp
TI  - Arbitrary Order Perturbation Theory for Time-Discrete Vlasov Systems with Drift Maps and Poisson Type Collective Kick Maps
M1  - PUBDB-2017-14058
SP  - 13
PY  - 2017
AB  - The well established model for studying the micro-bunching instability driven by longitudinal space charge in ultra-relativistic bunches in FEL-like beamlines can be identified as a time-discrete Vlasov model with general drift maps and Poisson type collective kick maps. This model can in principle be solved exactly using the method of characteristics (Perron-Frobenius operator method). Here we describe a higher order perturbative approach based on the Frechet derivative of the Perron-Frobenius operator, and show that is in principle suited to compute analytic approximations to the micro-bunching gain functions.
T2  - International ICFA Mini-Workshop on Nonlinear Dynamics and Collective Effects in Particle Beam Physics
CY  - 19 Sep 2017 - 22 Sep 2017, Arcidosso (Italy)
Y2  - 19 Sep 2017 - 22 Sep 2017
M2  - Arcidosso, Italy
LB  - PUB:(DE-HGF)8
DO  - DOI:10.3204/PUBDB-2017-14058
UR  - https://bib-pubdb1.desy.de/record/398488
ER  -