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Envelope dynamics and stability with non-linear space-charge forces
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, FREIA.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, FREIA.ORCID iD: 0000-0002-6229-5620
2019 (English)In: Nuclear Instruments and Methods in Physics Research Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, ISSN 0168-9002, E-ISSN 1872-9576, Vol. 951, article id 163045Article in journal (Refereed) Published
Abstract [en]

We developed a model to calculate the stability of Gaussian beam distributionswith non-linear space-charge forces in the presence of random and skewquadrupoleerrors. The eect of the space-charge force on the beam matrix iscalculated analytically including full cross-plane coupling in 4D phase space,which allows us to perform fast parameter studies. For stability analysis, wend the xed points of the beam including the space-charge forces and constructa Jacobi-matrix by slightly perturbing the periodic solution. The stability ofenvelope oscillations is inferred by eigenvalue analysis. Furthermore, we employenvelope tracking as a complementary method and compare the results ofthe eigenvalue analysis with FFT data from the tracked envelope. The nonlinearityof the space-charge force in combination with lattice errors and beamcoupling opens up for envelope-lattice resonances and envelope coupling resonances.Hitting these resonances leads to envelope blow-up, causing an eectivebeam mismatch. Therefore, we nally examine the eect of beam mismatch onthe envelope tune-shift and its stability.

Place, publisher, year, edition, pages
Elsevier, 2019. Vol. 951, article id 163045
Keywords [en]
space-charge, beam stability, quadrupole error, skew quadrupole, stop-band
National Category
Accelerator Physics and Instrumentation
Identifiers
URN: urn:nbn:se:uu:diva-396644DOI: 10.1016/j.nima.2019.163045ISI: 000502088900021OAI: oai:DiVA.org:uu-396644DiVA, id: diva2:1368558
Available from: 2019-11-07 Created: 2019-11-07 Last updated: 2020-01-14Bibliographically approved

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Holz, MichaelZiemann, Volker

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