We focus on modeling the evolution of the FNAL Booster emittance near injection.  Our model includes space charge in 3D and a lattice represented by 2nd order maps.  We infer the actual Booster emittance from measurements beam profiles using the IPM detector.  We compare data and simulation for various study cases including emittance dilution and halo creation.


Horizontal and vertical normalized Booster emittance as a function of turn number from a Synergia simulation of the machine with nominal operational parameters and a 20% beam mismatch.   The emittance blow-up is due   to chromatic effects and space-charge.
emittance
Beam distribution kurtosis versus turn for the above simulation.  The distribution becomes leptokurtic,  an distinct characteristic of halo creation.
kurtosis

Horizontal and vertical normalized Booster emittances and their sum, as a function of turn number from a Synergia simulation of the machine with equal vertical and horizontal tunes (6.75 each).  There is emittance exchange between the two planes as expected by Montague's  theory on the 2Qx-2Qy=0 resonance.

montague

We use the Booster Ionization Profile Monitor (IPM) to estimate the level of beam halo in the Booster.  We fit the IPM profiles to a Gaussian plus a polynomial function and we use the ratio of the integrals of the Gaussian and polynomial components as a quantitative measure of halo.  We also simulate the response of the IPM for the simulated Booster beam, and compare the halo prediction to the measurements.

ipm fitipm profile data and simulated

halo measure


We use the IPM information to quantify the effects of the collimators:
collimator study




FNAL Booster studies and modeling with Synergia poster in pdf or OpenOffice (sxi), proceedings contribution.


Booster resonance study plots 


Description of the Booster beam profile study data sets and summary plots 

Study of losses and beam width changes correlated to the ORBUMP using the IPM 


Highlights from papers and posters

longitudinal evolution

  coherent tune shift
 Coherent tune shift study: Data and Synergia simulation

performance


Last updated $Date: 2006/04/14 20:50:22 $ by P. Spentzouris and J. Amundson