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Related Experiment Videos

Closed orbit change induced by nonzero dispersion rf cavities.

Weiming Guo1, Katherine Harkay, Michael Borland

  • 1Argonne National Laboratory, 9700 South Cass Avenue, Argonne, Illinois 60439, USA. weguo@aps.anl.gov

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|December 31, 2005
PubMed
Summary

Particle motion in storage rings is coupled. A redefined closed orbit model simplifies analysis, revealing longitudinal phase slip depends on momentum and RF phase, crucial for shorter particle bunches.

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Area of Science:

  • Particle physics
  • Accelerator physics

Background:

  • Particle motion in storage rings exhibits coupling between longitudinal and transverse planes.
  • Nonzero dispersion in radio frequency (RF) cavities introduces complexities in modeling particle dynamics.

Purpose of the Study:

  • To develop a simplified model for coupled particle motion in storage rings.
  • To investigate the factors influencing longitudinal phase slip.

Main Methods:

  • Modeling particle motion using a redefined closed orbit.
  • Utilizing Green's function to describe the closed orbit.
  • Experimental and simulation validation of the model.
  • Calculating pathlength from the redefined closed orbit.

Main Results:

Related Experiment Videos

  • Particle motion can be modeled separately by introducing a redefined closed orbit.
  • The closed orbit is accurately described by a Green's function.
  • Longitudinal phase slip is influenced by both particle momentum and RF phase.
  • The effect of phase slip is significant with large RF phase slip or small momentum compaction factor (e.g., in lower alpha- lattices).

Conclusions:

  • A redefined closed orbit approach effectively simplifies the analysis of coupled particle motion.
  • Understanding the dual dependence of longitudinal phase slip is critical for accelerator design.
  • This model is particularly relevant for optimizing bunch length in advanced storage ring designs like lower alpha- lattices.