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https://doi.org/10.18429/JACoW-IPAC2015-THPF139
Title Nonlinear Optics of Solenoid Magnets
Authors
  • S.M. Lund
    FRIB, East Lansing, Michigan, USA
Abstract Solenoid magnets are often employed for focusing in low energy beam transport lattices in the front-end of a machine. We derive a relatively simple analytic formula for the nonlinear angular focusing kick imparted to particles traversing the solenoid. Few approximations are made. The formula suggests that for beam transport, little can be done to reduce nonlinearities in solenoid-type magnets other than take a simple design without abrupt changes as a function of axial coordinate and appropriately choose the aspect ratio (characteristic bore radius over axial length) of the magnet system and the beam filling factor within the aperture to limit nonlinear effects. Illustrative applications of the formula characterize nonlinear focusing effects in iron-free and iron type solenoid magnets.
Funding Work supported by the U.S. Department of Energy Office of Science under Cooperative Agreement DE-SC0000661 and the National Science Foundation under Grant No. PHY-1102511.
Paper download THPF139.PDF [0.189 MB / 3 pages]
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Conference IPAC2015, Richmond, VA, USA
Series International Particle Accelerator Conference (6th)
Proceedings Link to full IPAC2015 Proccedings
Session Thursday Posters
Date 07-May-15   16:00–18:00
Main Classification 4: Hadron Accelerators
Sub Classification T12 - Beam Injection/Extraction and Transport
Keywords solenoid, focusing, lattice, optics, factory
Publisher JACoW, Geneva, Switzerland
Editors Stuart Henderson (ANL, Argonne, IL, USA); Evelyn Akers (Jlab, Newport News, VA, USA); Todd Satogata (JLab, Newport News, VA, USA); Volker R.W. Schaa (GSI, Darmstadt, Germany)
ISBN 978-3-95450-168-7
Published June 2015
Copyright
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