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The Longitudinal Phase Plane

  • Peter Strehl
Part of the Particle Acceleration and Detection book series (PARTICLE)

Abstract

Referring to (6.2) (Chap. 6) and keeping in mind that the particles are moving along the z-axis, the longitudinal phase plane is defined by Az = ∫ ∫ dz dpz. But, because the longitudinal coordinate z itself does not give very much practical information, it is usual to define a fictitious reference particle moving at υ = β c, which corresponds to a kinetic energy of W = m u c2(γ-1). Inserting mu = 931.5016 MeV/c2 for ions and mu = 0.511 MeV/c2 for electrons leads to the energy per mass unit in MeV/u. Therefore, the total energy of the reference particle is AW with A as the mass number of the ion and A = 1 for electrons. Considering rf accelerators, particles moving in a bunch along the z-axis

Keywords

Emittance Measurement Energy Spread Drift Space Bunch Length Reference Particle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer 2006

Authors and Affiliations

  • Peter Strehl
    • 1
  1. 1.DarmstadtGermany

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