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Neutrino Factory/Muon Collider Document 131-v1

Simulation results on the relative performance of r.f. cavities used in cooling channels.

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MuCool Note
Submitted by:
John Urish
Updated by:
John Urish
Document Created:
03 Jun 2000, 12:00
Contents Revised:
03 Jun 2000, 12:00
Metadata Revised:
03 Jun 2000, 12:00
Actually Revised:
14 Sep 2006, 13:35
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Two types of r.f cavities have been considered by our engineers for the Linacs
of our transverse cooling channels: The $\pi/2$, TM010, with thin Beryllium
windows and the $\pi$ mode, TM011, with a realistic grid made of a set of XY
hollow tubes to improve the Q of the cavity. The performance of these cavities
has been studied with the DPGeant simulation code for three distinct lattices,
or solenoidal field configurations: the Alternate Solenoid (SoSo), the FoFo and
the Single Flip. It is shown that a muon typically traverses 1.0 to 1.4 walls
of a tube in the grid, per grid crossing. The average distance through these
walls is about 230 microns. If made of Aluminum, these tubes cause a noticeable
degradation of the cooling performance, with a relative beam loss of about 20\%
for the SoSo and FoFo configuration. This also occurs in the Single Flip
channel, despite the fact that the $\beta_{\perp}$ is relatively small at the
cavities. In that case, the loss is due to a longitudinal dilution which itself
is due to the non-uniformity of the electric field. A tapered Beryllium window
for the TM010, $\pi/2$ cavity has been proposed, and seems to perform quite
well in all channels.

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Posted by Paul Lebrun

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Paul Lebrun and Jocelyn Monroe
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