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A Method to Obtain the Frequency of the Longitudinal Dipole Oscillation for Modeling and Control in Synchrotrons with Single or Double Harmonic RF Systems

Grieser, Jochen ; Lens, Dieter Etienne Mia ; Klingbeil, Harald ; Adamy, Jürgen (2022):
A Method to Obtain the Frequency of the Longitudinal Dipole Oscillation for Modeling and Control in Synchrotrons with Single or Double Harmonic RF Systems. (Publisher's Version)
In: IPAC 2012 - Proceedings New Orleans, Louisiana, USA, pp. 2846-2848,
Darmstadt, IPAC 2012 - New Orleans, Louisiana, USA, New Orleans, Louisiana, USA, 20.-25.05.2012, ISBN 978-3-95450-115-1,
DOI: 10.26083/tuprints-00020352,
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Item Type: Conference or Workshop Item
Origin: Secondary publication service
Status: Publisher's Version
Title: A Method to Obtain the Frequency of the Longitudinal Dipole Oscillation for Modeling and Control in Synchrotrons with Single or Double Harmonic RF Systems
Language: English
Abstract:

In a heavy-ion synchrotron the bunched beam can perform longitudinal oscillations around the synchronous particle (single bunch dipole oscillation, SBDO). If disturbances/instabilities exciting the SBDO exceed the rate of Landau damping, the beam can become unstable. Furthermore, Landau damping is accompanied by an increase of the beam emittance which may be undesired. Thus, control efforts are taken to stabilize the beam and to keep the emittance small. It is known that for a single harmonic cavity and a small bunch the SBDO oscillates with the synchrotron frequency if the oscillation amplitudes are small. For a larger bunch or a double harmonic RF systems that introduces nonlinearities, this is no longer valid. This work shows how the frequency of the SBDO can be determined in general. As a result, the SBDO can again be modeled as a harmonic oscillator with an additional damping term to account for Landau damping. This model can be used for feedback designs which is shown by means of a simple example. As the frequency of the SBDO and the damping rate depend on the size of the bunch in phase space, it is shown how this information can be obtained from the measured beam current.

Book Title: IPAC 2012 - Proceedings New Orleans, Louisiana, USA
Place of Publication: Darmstadt
Classification DDC: 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften
Divisions: 18 Department of Electrical Engineering and Information Technology > Institut für Automatisierungstechnik und Mechatronik > Control Methods and Robotics (from 01.08.2022 renamed Control Methods and Intelligent Systems)
Event Title: IPAC 2012 - New Orleans, Louisiana, USA
Event Location: New Orleans, Louisiana, USA
Event Dates: 20.-25.05.2012
Date Deposited: 21 Jan 2022 08:05
Last Modified: 21 Jan 2022 08:05
DOI: 10.26083/tuprints-00020352
Corresponding Links:
URN: urn:nbn:de:tuda-tuprints-203525
URI: https://tuprints.ulb.tu-darmstadt.de/id/eprint/20352
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