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  • Open Access

Universal envelope equation and emittance evolution of high-brightness beam in linac

Chun-xi Wang*

  • Argonne National Laboratory, 9700 South Cass Avenue, Illinois 60439, USA

  • *wangcx@aps.anl.gov; URL: http://www.aps.anl.gov/~wangcx
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Phys. Rev. ST Accel. Beams 12, 044201 – Published 23 April, 2009

DOI: https://doi.org/10.1103/PhysRevSTAB.12.044201

Abstract

We report a universal beam envelope equation that governs the transverse linear dynamics of high-intensity and high-brightness relativistic beams under constant acceleration in axisymmetric linear accelerators. This dimensionless and almost parameter-free nonlinear equation is useful for understanding scaling properties and for investigating nonlinear behaviors that are beyond analytical analysis. Particularly, we explore emittance compensation in high-brightness beams evolving from the space-charge regime to the thermal-emittance regime, a transition that commonly occurs during acceleration but is not well studied. A new formula is given for correctly computing the rms bunch emittance from slice envelopes, which is different from the commonly used quadratic sum of the thermal emittance and the rms emittance in the envelope phase space.

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Phys. Rev. ST Accel. Beams 12, 044201– Published 23 April, 2009
  • Received 8 August 2008
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