Simulations Report E. García, UIC. Run 1 Geometry Radiator (water) 1cm x 2cm x 2cm with optical...
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Transcript of Simulations Report E. García, UIC. Run 1 Geometry Radiator (water) 1cm x 2cm x 2cm with optical...
Simulations Report
E. García, UIC
Run 1 Geometry
Radiator (water)1cm x 2cm x 2cmwith optical properties
Sensitive Volume(hit collector)acrylic (with air optical properties)
World optical air
1 GeV proton
Cerenkov photonstracking, reflection andtransition in radiator
Hits collected in sensitive volumestored for further analysis.
Run 1 properties of optical photons
• Hits position in detector• Momentum angle at detector 44.850
• Wave length distribution• 562 out of 718 photons hit the detector
10 GeV pi-
Run 2
Radiator C4F
10
2 x 2 m
Detector
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
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 --> W= 31.37o
• nC4F10 = 1.0015 --> Q= 3.02o
• Then take into account snell law’s from water (C4F
10) to air
• W(at detector) = sin-1(1.3435*sin(31.37)) = 44.92o
• C4F10(at detector) = sin-1(1.0015*sin(3.02)) = 3.024o
• OK
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
Detector ● Acrylic● Large interaction lenght● Non optical
Radiator● C
4F
10 @ 1 atm and 24o c
● 60 x 90 x 90 cm
Run 3 results
10 GeV pi-
reflected photonshits collected in detector
produced cerenkov photons: 117detected : 72
hit position in detector
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
Run 3 number of photons produced and detected
Run 5
C5F
12
same geometry as Run 4
Cut in energy of tracks of detectedphotons
10 GeV kaon : 100 eventsaveraged number of cerenkov photons: 240average number of detected photon tracks with energy cut applied: 36
wave length distribution of produced photons
cut for detected photons
hits in detector (100 events - no cuts)
Run 5 Results
Run 6: non zero incidence angle
incident angle 240, for this runinitial position of the particle is atR (120 cm) at center of mirror
tracks from photons in detector (100 events)
Using the average position of the ring' s center in XY's detector plane, the anglular distribution is generated
Run 6 Results
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
resolution for scanned angles: mean and sigma
black 0o, red 5o, green 10o, blue 15o, pink 20o
brown 24o
Run 7 position scanning
incident particle offset in X50 cm off the center
tracks of photons in detector(100 events)
calculating the angle from the centerdoes not work here, this looks morelike ellipse than a circle(see next transparency)
Run 7 results
black 0 cm, red 10 cm, green 20 cm, blue 30 cm,pink 40 cm and brown 50 cm
We may need different variable to resolve particlesfor example: the minor axis of theellipse
Run 7: minor axis parameter
minor axis
dx
The minor axis distribution (on the right) is generated by:• Finding the “center” point (x
o , y
o)
(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.
kaon 50 cm and 14 GeV100 events
Run 7 minor axis parameter results
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
Color scheme: black 0 cm, red 10 cm, green 20 cm, blue 30 cm,pink 40 cm and brown 50 cm
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 pionsat 14 GeV, the kaons are for 50 cm position and the pions for 20 cm position. The minor axis can't resolvethem, may be the positive mayor axis(pma) will resove better.
pma
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.
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
Run 8 angular scan 2
distance to particle gun 5.5 mangular scan
Photon tracks in detector fora 18 GeV kaon at 5 deg (brown)and for a 18 GeV pion at 3 deg(blue). One event, 56 photon tracksdetected for kaon and 79 for pion
Photon wavelength distribution for 18GeV and 5 deg. kaons (brown) and 3 deg. pions (blue). The distributions are normalizedto the number of events (100). No CsI QEeffects simulated in this run
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 distributionsand the errors the sigma of the fit, using this parameterit is possible to resolve up to 16 GeV
Average of the number of photon tracks detected.
Run 9 variation of the distance of detector to mirror
40.0cm
variable (f)
For this run the length of the detector is reduced,the dimensions of the mirror are the same, and thedistance 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
Top: The average number of photonsand averaged ring minor axis resolution for100 events . Only cut in photon energy here no QE of CsI (25%) included in runs.
Right: Photon tracks in detector for 33 GeVpion (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.
x - xO (cm)
y -
y O (
cm)
Run 9 f = 55 cmf = 55 cm
Right top: the average ring minor axis resolution for100 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 protonat 33 GeV for f = 55 cm (black), and f = 60 cm (green).
Run 9 f = 50 cm
Right top: the average ring minor axis resolution for100 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 protonat 33 GeV for f = 50 cm (black), and f = 60 cm (green).
f = 50 cm
Run 9 f = 65 cm
Right top: the average ring minor axis resolution for100 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 protonat 33 GeV for f = 65 cm (black), and f = 60 cm (green).
f = 65 cm
Run 9 f = 70 cm
Right top: the average ring minor axis resolution for100 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 protonat 33 GeV for f = 50 cm (black), and f = 70 cm (green).
f = 70 cm
Run 10 increase the radius of the mirror and tank (R = 180 cm)78.46 cm
R/2 = 90 cm
Left top: the average number of photons tracks in detectors for 100 events
Right bottom : the resulution using theaverage ring minor axis
Left bottom: the resulution using the detected angle
No CsI QE in simulation
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
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
Run 12 QE of CsI effect on simulation (geometry R = 180 cm)
Effect of QE on the spectra of thedetected photons
QE of CsI detector
Run 12 (R = 240 cm) CsI Q.E. simulated for this run 106 cm
R/2 = 120 cm
Momentum spectra of removed background (e+, e- and )
Average number of photon tracks (top) and resolution (bottom)
Run 12 angular and position scann for R = 240 cm geometry
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
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 cmResolution up to ~ 22 GeV within 60 cm
Hexagonal mirror 120 cm
~104 cm
R/2 = 120 cm
8 cm
Hexagonal mirror: curvature radius R = 240 cm. Hexagonradius r = 120 cm, apothem ~ 104 cm. Detector located atR/2
Hexagonal mirror Array detector 180 x 180 cm2
Hexagonal array: 6 mirrors with curvature radius 240 cm, hexagonradius 120 cm, apothem ~ 104 cm. Detector located at half of the curvatureradius (120 cm)
Front view of hexagonal array. R is tha path choosen forths angular and position scanning
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
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 seemsto be due to the method used to find the minor axis.
Patter recognition method update for “slated” scanning
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
incorrectly calculated
minor axis
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. Coordenatesof image are rotated along the slanted scanning path.minor axis calculation now is acuarate
correct m
inor axis
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
Individual ring images (one event)
Bottom: 16 GeV pi (black), k (blue) p (brown)gun position R = 60 cm, directionphi = theta = 0 deg
Top: 21 GeV pi (black), k (blue) p (brown)gun position R = 0 cm, directionphi = 25 deg, theta = 14 deg
Top: 16 GeV pi (black), k (blue) p (brown)gun position R = 0 cm, directionphi = theta = 0 deg
Left: 18 GeV pi (black), k (blue) p (brown)gun position X= 60 cm, Y = 0 anddirection phi = theta = 0 deg, photon trackshit edge of 3 mirrors
Right: 18 GeV pi (black), k (blue) p (brown)gun position X= 100 cm, Y = 0 anddirection phi = theta = 0 deg, photon trackshit edge of 2 mirrors
Latest Geometries