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Neutrino Factory/Muon Collider Document 268-v1

Calculation of RFOFO fields using the off-axis expansion in ICOOL

Document #:
NFMCC-doc-268-v1
Document type:
MuCool Note
Submitted by:
John Urish
Updated by:
John Urish
Document Created:
02 Jan 2003, 12:00
Contents Revised:
02 Jan 2003, 12:00
Metadata Revised:
02 Jan 2003, 12:00
Actually Revised:
14 Sep 2006, 13:35
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Abstract:
NOTE: This revision contains a new comparison of the realistic RFOFO
field from tipped solenoids with the off-axis multipole expansions
used in ICOOL. Bob Palmer pointed out an inconsistency in the way the
odd, skew multipoles were handled previously.

We examine the off-axis field components for the RFOFO cooling ring.
The ring consists of 12 cells, each containing two solenoids. Each
solenoid is modeled here as a current sheet. We check the accuracy of
the off-axis field expansions used in ICOOL by comparing with the fields
computed directly using an independent sum-of-sheets code. For the
complicated fields present in the RFOFO ring the 4th order off-axis
expansions used in ICOOL reproduce the true field values to ~0.2 gauss.
This is probably sufficient for the simulations to reproduce any
nonlinear effects introduced by the real field. Typical fractional
errors for 4th order on a 10 cm test circle are ~2 10-4 for BX and BY
and ~1 10-5 for BS.

This is a PDF document
This is revision # 2
Posted by R. Fernow

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Keywords:
COOL_THEORY
Notes and Changes:
R.C. Fernow & J.C. Gallardo
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