(A) For field tracking ONLY - NO energy loss and NO multiple scattering:

(*) The file 'spin1.ps' shows the dependence of the muon angle [mrad] in
the center of the detector as a function of incident muon angle [mrad]
for rays on axis at the focal point (at -142.5cm). The B-field map used
was 'field_map.0001'; a 2-D map obtained with OPERA of Bz and Br at grid
points in z and r. All rays are started tracking at -300cm.

(*) The file 'spin2.ps' shows the depencence of the muon angle [mrad] in
the center of the detector as a function of the incident muon position
[mm] for rays parallel to but off the z-axis at the focal point (at
-142.5cm).

(*) The file 'spin3.ps' shows how the muon spin angle at the target
varies with the focal point position for incident rays on axis at the
focal point and with an incident angle of 2mrad.

(B) For a 'real' surface muon beam with field tracking, energy loss
(LOSS 2) and multiple scattering (MULS 1) in GEANT 2.0. The beam line
geometry is that presently being built (without a TEC, of course) and an
M13 surface muon beam with the following parameters at the focal point
(-142.5cm):

(1) a gaussian cross section with sigma_x = sigma_y = 1 cm
(2) a flat rectangular emittance in delta_theta_x = 15mrad (+-7.5mrad)
and delta_theta_y = 10mrad (+-5mrad)
(3) mono energetic at 29.79MeV/c

(*) The file 'spin4.ps' shows the mean of the stopped muon's spin
distribution in the target versus the ideal central ray prediction as in
(A) above; for three different initial conditions: perfect on axis beam,
2mm off-axis and -2mrad misaligned, 2mm off-axis and +2mrad misaligned.
Note, the perfectly aligned real beam has a mean depolarization of about
4*10-3 due to its finite emittance when the whole beam is accepted. In
comparison, multiple scattering along the way contributes little to this
depolarization.

(*) The file 'spin5.ps' shows similarly the mean of the stopped muon's
spin distribution for axis parallel beams (no misalignment) versus the
ideal central ray prediction as in (A) above; for different off-sets.
There is a variation of about 7*10-4 in the mean of the distribution for
a misalignment of 5mm.

Filename: spin1.ps

Filename: spin2.ps

Filename: spin3.ps

Filename: spin4.ps

Filename: spin5.ps

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