Beam Transfer Functions, Stability Diagrams and Schottky Spectra for Unbunched Beams

Beam transfer functions and stability diagrams for unbunched beams can be straightforwardly derived starting from a Hamiltonian which includes collective interactions and using that Hamiltonian in the Vlasov equation. One can start with a very general Hamiltonian which can be applied to longitudinal...

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Detalles Bibliográficos
Autor principal: Berg, J S
Lenguaje:eng
Publicado: 1999
Materias:
Accelerators and Storage Rings
Acceso en línea:http://cds.cern.ch/record/421347
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author Berg, J S
author_facet Berg, J S
author_sort Berg, J S
collection CERN
description Beam transfer functions and stability diagrams for unbunched beams can be straightforwardly derived starting from a Hamiltonian which includes collective interactions and using that Hamiltonian in the Vlasov equation. One can start with a very general Hamiltonian which can be applied to longitudinal, transverse, or more complex impedance-like interactions. Furthermore, one can compute Schottky spectra for these same circumstances. Examples are worked out for the standard longitudinal and transverse cases.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 1999
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spelling cern-4213472023-05-05T13:07:47Zhttp://cds.cern.ch/record/421347engBerg, J SBeam Transfer Functions, Stability Diagrams and Schottky Spectra for Unbunched BeamsAccelerators and Storage RingsBeam transfer functions and stability diagrams for unbunched beams can be straightforwardly derived starting from a Hamiltonian which includes collective interactions and using that Hamiltonian in the Vlasov equation. One can start with a very general Hamiltonian which can be applied to longitudinal, transverse, or more complex impedance-like interactions. Furthermore, one can compute Schottky spectra for these same circumstances. Examples are worked out for the standard longitudinal and transverse cases.CERN-SL-97-049-APoai:cds.cern.ch:4213471999-12-07
spellingShingle Accelerators and Storage Rings
Berg, J S
Beam Transfer Functions, Stability Diagrams and Schottky Spectra for Unbunched Beams
title Beam Transfer Functions, Stability Diagrams and Schottky Spectra for Unbunched Beams
title_full Beam Transfer Functions, Stability Diagrams and Schottky Spectra for Unbunched Beams
title_fullStr Beam Transfer Functions, Stability Diagrams and Schottky Spectra for Unbunched Beams
title_full_unstemmed Beam Transfer Functions, Stability Diagrams and Schottky Spectra for Unbunched Beams
title_short Beam Transfer Functions, Stability Diagrams and Schottky Spectra for Unbunched Beams
title_sort beam transfer functions, stability diagrams and schottky spectra for unbunched beams
topic Accelerators and Storage Rings
url http://cds.cern.ch/record/421347
work_keys_str_mv AT bergjs beamtransferfunctionsstabilitydiagramsandschottkyspectraforunbunchedbeams

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