%0 Conference Paper
%A Vogt, Mathias
%A Amstutz, Philipp
%T Arbitrary Order Perturbation Theory for Time-Discrete Vlasov Systems with Drift Maps and Poisson Type Collective Kick Maps
%M PUBDB-2017-14058
%P 13
%D 2017
%X 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.
%B International ICFA Mini-Workshop on Nonlinear Dynamics and Collective Effects in Particle Beam Physics
%C 19 Sep 2017 - 22 Sep 2017, Arcidosso (Italy)
Y2 19 Sep 2017 - 22 Sep 2017
M2 Arcidosso, Italy
%F PUB:(DE-HGF)8
%9 Contribution to a conference proceedings
%R 10.3204/PUBDB-2017-14058
%U https://bib-pubdb1.desy.de/record/398488