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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.
IPAC 2012: International Particle Accelerator Conference 2012. New Orleans, Louisiana, USA (20.05.2012-25.05.2012)
doi: 10.26083/tuprints-00020352
Konferenzveröffentlichung, Zweitveröffentlichung, Verlagsversion

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Kurzbeschreibung (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 For a larger bunch or a double harmonic RF systems that introduces nonlinearities, this is no longer valid.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.

Typ des Eintrags: Konferenzveröffentlichung
Erschienen: 2022
Autor(en): Grieser, Jochen ; Lens, Dieter Etienne Mia ; Klingbeil, Harald ; Adamy, Jürgen
Art des Eintrags: Zweitveröffentlichung
Titel: A Method to Obtain the Frequency of the Longitudinal Dipole Oscillation for Modeling and Control in Synchrotrons with Single or Double Harmonic RF Systems
Sprache: Englisch
Publikationsjahr: 2022
Ort: Darmstadt
Publikationsdatum der Erstveröffentlichung: 2012
Buchtitel: IPAC 2012 - Proceedings New Orleans, Louisiana, USA
Veranstaltungstitel: IPAC 2012: International Particle Accelerator Conference 2012
Veranstaltungsort: New Orleans, Louisiana, USA
Veranstaltungsdatum: 20.05.2012-25.05.2012
DOI: 10.26083/tuprints-00020352
URL / URN: https://tuprints.ulb.tu-darmstadt.de/20352
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Herkunft: Zweitveröffentlichungsservice
Kurzbeschreibung (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.

Status: Verlagsversion
URN: urn:nbn:de:tuda-tuprints-203525
Sachgruppe der Dewey Dezimalklassifikatin (DDC): 600 Technik, Medizin, angewandte Wissenschaften > 620 Ingenieurwissenschaften und Maschinenbau
Fachbereich(e)/-gebiet(e): 18 Fachbereich Elektrotechnik und Informationstechnik
18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Automatisierungstechnik und Mechatronik
18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Automatisierungstechnik und Mechatronik > Regelungsmethoden und Robotik (ab 01.08.2022 umbenannt in Regelungsmethoden und Intelligente Systeme)
Hinterlegungsdatum: 21 Jan 2022 08:05
Letzte Änderung: 24 Jan 2022 09:17
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