Contribution to a conference proceedings

PUBDB-2017-14058

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Arbitrary Order Perturbation Theory for Time-Discrete Vlasov Systems with Drift Maps and Poisson Type Collective Kick Maps

Vogt, M. (Corresponding author)DESY* ; Amstutz, P.Extern*

2017

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Please use a persistent id in citations: doi:10.3204/PUBDB-2017-14058

Abstract: 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.

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Contributing Institute(s):

1. Maschinen Koordination FLASH (MFL)
2. Uni Hamburg / Experimentalphysik (UNI/EXP)

Research Program(s):

1. 631 - Accelerator R & D (POF3-631) (POF3-631)

Experiment(s):

1. Facility (machine) FLASH

Appears in the scientific report 2017

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