[Bteam] arc dipole multipoles
Jay Benesch
benesch at jlab.org
Tue Oct 11 14:02:12 EDT 2011
Attached please find an updated version of my spreadsheet on arc dipole
multipoles. I have reproduced the work Nicolas did and established to
my satisfaction that calculating multipoles on circles normal to the Z
axis gives the appropriate result when summed along the particle
trajectory. These results are labeled "Z_norm" on the summary
worksheet, the first.
Attempting to correct the orbit_normal values with the geometric factor,
l/R^2, doesn't work precisely because I summed along particle trajectory
rather than a straight line followed by an arc of a circle. It's not
bad, but there is a discrepancy which vanishes when exactly the same
points are used for all sums.
I haven't tried to figure out whether my "Z_norm" numbers contain the
edge focusing. Comments solicited.
It should be noted that quadrupole and sextapole values are close to
each other so B'L/BL is NOT dominated by quadrupole. I am told that the
measurements are too noisy to fit a parabola so as to resolve quad and
sext.
I'll write up a TN sometime soon, including comparison with the 4-300A
numbers Harwood provided.
Jay
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