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