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Related Experiment Videos

Deflections in magnet fringe fields.

Y Papaphilippou1, J Wei, R Talman

  • 1Brookhaven National Laboratory, Upton, New York 11973, USA. yannis@esrf.fr

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|June 6, 2003
PubMed
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A new multipole expansion accurately models magnetic fringe fields for particle orbit calculations. A straight-line approximation provides a figure of merit to determine if fringe field effects can be ignored in magnet design.

Area of Science:

  • Physics
  • Engineering
  • Applied Mathematics

Background:

  • Accurate particle orbit tracking is crucial for accelerator design.
  • Fringe fields in magnets significantly influence particle trajectories.
  • Existing models may not fully capture complex fringe field dynamics.

Purpose of the Study:

  • To develop a precise method for analyzing particle deflections in magnetic fringe fields.
  • To introduce a simplified approximation for evaluating fringe field impact.
  • To establish criteria for neglecting fringe field effects in magnet design.

Main Methods:

  • Derivation of a transverse multipole expansion including longitudinal components.
  • Numerical orbit following through magnet fringe-field regions.

Related Experiment Videos

  • Analytic evaluation of deflections using approximations, notably the straight-line approximation.

    • Main Results:

    • The derived multipole expansion allows for exact numerical orbit following.
    • The straight-line approximation yields a figure of merit (ratio of rms end deflection to nominal body deflection).
    • This figure of merit quantifies the significance of fringe field effects.

    Conclusions:

    • The developed method provides accurate tracking in magnet fringe fields.
    • The straight-line approximation offers a practical tool for assessing fringe field neglect.
    • This work aids in optimizing magnet designs for particle accelerators.