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Longitudinal Dynamics

Longitudinal Dynamics. Q: How can we measure the longitudinal phase space distribution?. A: With a resistive wall current sensor. Each time the bunch passes by the wall current sensor, we get a longitudinal density profile.

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Longitudinal Dynamics

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  1. Longitudinal Dynamics Q: How can we measure the longitudinal phase space distribution?

  2. A: With a resistive wall current sensor Each time the bunch passes by the wall current sensor, we get a longitudinal density profile. The mountain-range plot (above left) is an accumulation of these profiles, and can be used to construct a phase space diagram.

  3. (some of) The Mathematics Inverse problem of solving for the phase space plot, P, is done by code written at Cern. Dn, the distribution after n turns, is measured by the wall monitor. It is essentially a projection onto the phi axis of the evolution (Tn) of the phase space plot (P).

  4. Why is this useful? It lets us “view” the dynamics in the accelerator Plots will be analyzed: Of protons before and after pbars are injected into the tevatron Of protons and pbars before and after the “squeeze” (reduction of beta* for collision) Of protons and pbars over time (on a scale of hours)

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