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Neutrino Factory/Muon Collider Document 265-v1

Realistic on-axis fields for the RFOFO cooling ring

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MuCool Note
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John Urish
Updated by:
John Urish
Document Created:
27 Nov 2002, 12:00
Contents Revised:
27 Nov 2002, 12:00
Metadata Revised:
27 Nov 2002, 12:00
Actually Revised:
14 Sep 2006, 13:35
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Realistic on-axis fields for the RFOFO cooling ring

R.C. Fernow & J.C. Gallardo

We calculate the on-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. Independent calculations made using the Biot-Savart
equation give identical results. The dipole field comes from tipping the
solenoid axis above and below the bending plane. We show the field components
in the accelerator coordinate system. We checked the validity of the solution
by showing that the field components satisfy Maxwell?s equations along the
circle. This was done using independent calculations in cylindrical and
Cartesian coordinates.

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