Simulations Report

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Simulations Report

• E. García, UIC

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Run 1 Geometry
Sensitive Volume (hit collector) acrylic (with
air optical properties)
Radiator (water) 1cm x 2cm x 2cm with optical
properties
World optical air
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Cerenkov photons tracking, reflection
and transition in radiator
1 GeV proton
Hits collected in sensitive volume stored for
further analysis.
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Run 2
Radiator C4F10 2 x 2 m
10 GeV pi-
Detector
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Run 2 properties of optical photons

• Hits position in detector
• Momentum angle at detector 3.130
• Wave length distribution
• 911 photons produced 449 leave track in detector

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Does it make sense?

• KE (input) 1 GeV proton (10 GeV pi-)
• E KE m0 1.938 GeV (10.139 GeV)
• p2 E2 m02 1.69582 (100.13892)
• ? p/E 0.875 (0.999)
• cos? 1/?n
• nW 1. 3435 --gt ?W 31.37o
• nC4F10 1.0015 --gt ?Q 3.02o
• Then take into account snell laws from water
  (C4F10) to air
• ?W(at detector) sin-1(1.3435sin(31.37))
  44.92o
• ?C4F10(at detector) sin-1(1.0015sin(3.02))
  3.024o
• OK

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Run 3 ARich model 1

• Mirror
• Material quartz
• Curvature radius (r) 1.2 m
• Arc cut at r /10
• Small absorption length

• Mirror
• Material quartz
• Curvature radius (r) 1.2 m
• Arc cut at r /10
• Small absorption length

• Mirror
• Material quartz
• Curvature radius (r) 1.2 m
• Arc cut at r /10
• Small absorption length

• Radiator
• C4F10 _at_ 1 atm and 24o c
• 60 x 90 x 90 cm

• Detector
• Acrylic
• Large interaction lenght
• Non optical

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Run 3 results
hit position in detector
produced cerenkov photons 117 detected 72
10 GeV pi-
reflected photons
hits collected in detector
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Run 3 detector resolution

• Particles were shot perpendicularly to the
  center of the detector (mirror)
• The points are the mean of a Gaussian fit to the
  distribution of optical photon angular position
  in the detector from 100 events, the error is the
  sigma of the fit

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Run 3 number of photons produced and detected
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Run 5
hits in detector (100 events - no cuts)
10 GeV kaon 100 events averaged number of
cerenkov photons 240 average number of detected
photon tracks with energy cut applied 36
C5F12
wave length distribution of produced photons
cut for detected photons
Cut in energy of tracks of detectedphotons
same geometry as Run 4
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Run 5 Results
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Run 6 non zero incidence angle
incident angle 240, for this run initial position
of the particle is at R (120 cm) at center of
mirror
Using the average position of the ring' s center
in XY's detector plane, the anglular
distribution is generated
tracks from photons in detector (100 events)
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Run 6 Results
resolution for scanned angles mean and sigma
resolution for 24o incidence
The angle is the mean to the gaus fit to the
angular distributions and the error bar is the
sigma of the fit
black 0o, red 5o, green 10o, blue 15o, pink
20o brown 24o
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Run 7 position scanning
incident particle offset in X 50 cm off the center
calculating the angle from the center does not
work here, this looks more like ellipse than a
circle (see next transparency)
tracks of photons in detector (100 events)
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Run 7 results
We may need different variable to resolve
particles for example the minor axis of
the ellipse
black 0 cm, red 10 cm, green 20 cm, blue 30
cm, pink 40 cm and brown 50 cm
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Run 7 minor axis parameter
kaon 50 cm and 14 GeV 100 events
minor axis

• The minor axis distribution (on the right) is
  generated by
• Finding the center point (xo , yo)
  (geometric mean of the 2D distribution)
• Then within an interval (dX) around the xo
  calculating the distance y- yo
• The mean of the fit to the y-yo distribution is
  the minor axis, and the sigma of the fit the is
  the error.

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Run 7 minor axis parameter results
Color scheme black 0 cm, red 10 cm, green 20 cm,
blue 30 cm, pink 40 cm and brown 50 cm

• Using the minor axis parameter we have resolution
  for
• Within 50 cm up to 12 GeV
• Within 40 cm up to 14 GeV
• Within 30 cm up to 18 GeV

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Run 7 continuation
Color scheme black 0 cm, red 10 cm, green 20 cm,
blue 30 cm, pink 40 cm and brown 50 cm
These are 100 events for k and pions at 14 GeV,
the kaons are for 50 cm position and the pions
for 20 cm position. The minor axis can't
resolve them, may be the positive mayor
axis (pma) will resove better.
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Run 7 Positive minor axis parameter try

• The resolution is actually worst with this
  parameter. A pattern recognition approach may be
  needed.
• For the present studies we will fold back to the
  mayor axis parameter for the resolution and work
  on further aspects of the design.

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Run 7 Number of photon tracks
Color scheme black 0 cm, red 10 cm, green 20 cm,
blue 30 cm, pink 40 cm and brown 50 cm
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Run 8 results
Color scheme black 0 deg, red 1 deg, green 2
deg, blue 3 deg, pink 4 deg and brown 5 deg
Ellipsoide ring minor axis. The points are the
mean of of the gaussian fit to 100 event
distributions and the errors the sigma of the
fit, using this parameter it is possible to
resolve up to 16 GeV
Average of the number of photon tracks detected.
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Run 9 variation of the distance of detector to
mirror
Top The average number of photons and averaged
ring minor axis resolution for 100 events . Only
cut in photon energy here no QE of CsI (25)
included in runs. Right Photon tracks in
detector for 33 GeV pion (blue), kaon (red) and
proton (black) one event. The detector is at f
60 cm and the gun aiming at the center of the
mirror.
y - yO (cm)
For this run the length of the detector is
reduced, the dimensions of the mirror are the
same, and the distance from the detector to the
mirror is varied around the focal point (R/2
60 cm). The particle gun aims to the center of
the detector
x - xO (cm)
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Run 9 f 55 cm
f 55 cm
Right top the average ring minor axis
resolution for 100 events with the detector at f
55 cm . Right bottom the average ring minor
axis for f 55cm (black) and for f 60 cm
R/2 (green). Left bottom photon tracks in the
detector for proton at 33 GeV for f 55 cm
(black), and f 60 cm (green).
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Run 9 f 50 cm
f 50 cm
Right top the average ring minor axis
resolution for 100 events with the detector at f
50 cm . Right bottom the average ring minor
axis for f 50cm (black) and for f 60 cm
R/2 (green). Left bottom photon tracks in the
detector for proton at 33 GeV for f 50 cm
(black), and f 60 cm (green).
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Run 9 f 65 cm
Right top the average ring minor axis
resolution for 100 events with the detector at f
65 cm . Right bottom the average ring minor
axis for f 65 cm (black) and for f 60 cm
R/2 (green). Left bottom photon tracks in the
detector for proton at 33 GeV for f 65 cm
(black), and f 60 cm (green).
f 65 cm
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Run 9 f 70 cm
Right top the average ring minor axis
resolution for 100 events with the detector at f
70 cm . Right bottom the average ring minor
axis for f 70 cm (black) and for f 60 cm
R/2 (green). Left bottom photon tracks in the
detector for proton at 33 GeV for f 50 cm
(black), and f 70 cm (green).
f 70 cm
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Run 10 increase the radius of the mirror and tank
(R 180 cm)
Left top the average number of photons tracks
in detectors for 100 events Right bottom the
resulution using the average ring minor axis
Left bottom the resulution using the detected
angle No CsI QE in simulation
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Run 11 horizontal scann for R 180 cm geometry
This is one event for 18 GeV particles proton at
0 cm (black) , pion at 20 cm (green) and kaon at
50 cm (brown). Top position, bottom normalized
position (for comparison)
Color scheme black 0 cm, red 10 cm, green 20 cm,
blue 30 cm,pink 40 cm and brown 50 cm. Bottom,
zoom of top Resolution up to 18 GeV within 50
cm
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Run 11 angular scann for R 180 cm geometry
This is one event for 24 GeV particles proton at
00 (black) , pion at 20 (green) and kaon at 50
(brown). Top position, bottom normalized position
(for comparison)
Color scheme black 00, red 100, green 20, blue
30,pink 40 and brown 50. Bottom, zoom of top
Resolution up to 24 GeV within 50
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Run 12 QE of CsI effect on simulation (geometry R
180 cm)
Effect of QE on the spectra of the detected
photons
QE of CsI detector
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Run 12 (R 240 cm) CsI Q.E. simulated for this
run
Average number of photon tracks (top) and
resolution (bottom)
Momentum spectra of removed background (e, e-
and g)
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Run 12 angular and position scann for R 240 cm
geometry
Resolution plot, color scheme black 0 cm, red 10
cm, green 20 cm, blue 30 cm, pink 40 cm and
brown 50 cm, aqua 60 cm Resolution up to 22 GeV
within 60 cm
Resolution plot, color scheme black 00, red 100,
green 20, blue 30,pink 40 and brown 50, aqua
60 Resolution up to 26 GeV within 60
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Hexagonal mirror
Hexagonal mirror curvature radius R 240 cm.
Hexagon radius r 120 cm, apothem 104 cm.
Detector located at R/2
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Hexagonal mirror Array
Front view of hexagonal array. R is tha path
choosen for ths angular and position scanning
Hexagonal array 6 mirrors with curvature radius
240 cm, hexagon radius 120 cm, apothem 104 cm.
Detector located at half of the curvature radius
(120 cm)
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Position scann
Gun located at z 5.5 m and perpendicular to
mirror array. The distance to the center of the
array then is changed along R black 0 cm, red
20 cm, green 40 cm, blue 60 cm, pink 80 cm,
brown 100 cm and aqua 120 cm. Right panel is a
zoom of the left panel. Resolution up to 24 GeV
along all the surface of array
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Angular scann
Gun located at z 5.5 m at the center of mirror
array. The partile gun direction is then changed
to aim along R black 0 deg, red 3 deg, green 6
deg, blue 9 deg, pink 12 deg and brown 14 deg
(edge of second mirror) . There seems to be an
anomaly for 6 deg scanning, it seems to be due to
the method used to find the minor axis.
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Patter recognition method update for slated
scanning
26 deg scanning path
Image for 100 events, incident partilces kaons at
21 GeV. Gun psoition x y 0 (array plane), z
5.5 m. Gun direction polar angle 6 deg and
azimuthal angle 26 deg. Coordenates of image
are rotated along the slanted scanning
path. minor axis calculation now is acuarate
Image for 100 events, incident partilces kaons at
21 GeV. Gun psoition x y 0 (array plane), z
5.5 m. Gun direction polar angle 6 deg and
azimuthal angle 26 deg. Problem with patter
recognition method minor axis calculated
along Y direction, not along the 26 degree path
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Improved pattern recognition method Results
Resolution (minor axis plot) using old and
improved patter recognition method. Gun psoition
x y 0 (array plane), z 5.5 m. Gun
direction polar angle 6 deg and azimuthal
angle 26 deg. Coordenates of image for
improved method are rotated along the slanted
scanning path.
Gun located at z 5.5 m at the center of mirror
array. The partile gun direction is then changed
to aim along R black 0 deg, red 3 deg, green 6
deg, blue 9 deg, pink 12 deg and brown 14
deg (edge of second mirror) . Good resolution for
all particles along the array up to 24 GeV
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Individual ring images (one event)
Bottom 16 GeV pi (black), k (blue) p (brown) gun
position R 60 cm, direction phi theta 0 deg
Top 16 GeV pi (black), k (blue) p (brown) gun
position R 0 cm, direction phi theta 0 deg
Top 21 GeV pi (black), k (blue) p (brown) gun
position R 0 cm, direction phi 25 deg, theta
14 deg
Left 18 GeV pi (black), k (blue) p (brown) gun
position X 60 cm, Y 0 and direction phi
theta 0 deg, photon tracks hit edge of 3
mirrors Right 18 GeV pi (black), k (blue) p
(brown) gun position X 100 cm, Y 0
and direction phi theta 0 deg, photon
tracks hit edge of 2 mirrors
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Latest Geometries