Cherenkov Ring Radius Determination from Modular Rich Detector Simulation

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Explore the process of obtaining the Cherenkov ring radius using Circular Hough Transform in a modular rich detector simulation. The study, conducted by Cheuk-Ping Wong from Georgia State University, delves into Monte Carlo results, ring finder algorithms, event displays, and radius distributions in both infinite and finite pixel sizes. Discover how the fitted rings compare to actual rings and the impact of pixel size on radius measurements.

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Modular Rich Detector Simulation Cherenkov Ring Radius obtained from Circular Hough Transform Cheuk-Ping Wong Georgia State University 2016-09-12

Outline Obtain Cherenkov Ring Radius from simulation results using Circular Hough Transform. 1. Monte Carlo result Infinite pixel size Finite pixel size (6x6mm2) 2. Simulation result 9/10/2024 Cheuk-Ping Wong (GSU) 2

Ring Finder Algorithm Update When filling 3D (a,b,r) histogram Center position(a,b) cut: If (|a|>3mm or |b|>3mm) skip; Not considered 9/10/2024 Cheuk-Ping Wong (GSU) 3

Monte Carlo 9/10/2024 Cheuk-Ping Wong (GSU) 4

Monte Carlo 10,000 events Infinite pixel size / finite pixel size (6x6mm2) In each events Number of hits Total number of Hit= Nsignal+Nnoise <15 Ring radius Radius = Gaussian distribution function Mean of radius=20mm Sigma of radius=0.1mm 9/10/2024 Cheuk-Ping Wong (GSU) 5

Event by Event Display (infinite pixel) low noise Signal noise strong noise 9/10/2024 Cheuk-Ping Wong (GSU) 6

Radius (in each event) Distribution (infinite pixel) 20.0 0.129 mm 9/10/2024 Cheuk-Ping Wong (GSU) 7

Event by Event Display (finite pixel) Fitted rings are generally smaller than the actual rings low noise Signal noise loud noise Fitted rings are close to the actual rings, even with loud noise 9/10/2024 Cheuk-Ping Wong (GSU) 8

Radius (in each event) Distribution (finite pixel) r=15.4 0.12 mm Sensor 2 Sensor 1 r 3.54mm Sensor 4 Sensor 3 measured value of radius =r+3.54 =18.94mm Smaller than the actual value (20mm). difference due to pixel size 9/10/2024 Cheuk-Ping Wong (GSU) 9

Simulation Result 9/10/2024 Cheuk-Ping Wong (GSU) 10

Simulation Setup Beam 120GeV proton 1,000 events Launched perpendicularly toward center of the detector Beam diameter 1cm Detector Aerogel gel: 3.3cm thick, n=1.03 Fresnel lens: f=3 inches Sensor plane : at Fresnel lens focal plane, 1mm gap between glass windows (or 5mm between sensors) 9/10/2024 Cheuk-Ping Wong (GSU) 11

Detector Setup Sensor plane 9/10/2024 Cheuk-Ping Wong (GSU) 12

Event by Event Display y (mm) 40 y (mm) 40 -40 -30 -20 -10 -40 -30 -20 -10 10 20 30 10 20 30 0 0 -40 -40 -30 -30 -20 -20 124th event -10 -10 65th event 0 0 low background 10 10 20 20 Entries Entries Entries Entries r= 15.12mm b= -2.88mm r= 15.38mm 30 30 b= 0.12mm a= 0.12mm a= 0.12mm x (mm) x (mm) 40 40 14 14 8 8 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 y (mm) 40 y (mm) 40 -40 -30 -20 -10 -40 -30 -20 -10 10 20 30 10 20 30 0 0 -40 -40 -30 strong background -30 -20 -20 281th event -10 165th event -10 0 0 10 10 20 20 Entries Entries Entries Entries r= 39.12mm b= -2.62mm a= -1.62mm 30 r= 14.38mm b= -1.12mm 30 a= 1.12mm x (mm) x (mm) 40 40 11 11 18 18 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 0 0.5 1 1.5 2 2.5 3 9/10/2024 Cheuk-Ping Wong (GSU) 13

Radius (in each event) Distribution r 15.4 0.15 mm r 3.54mm r 18.7 0.60 mm Actual measured value of radius =r+3.54 =18.94mm Radius of each photon hit from simulation result. No Q.E. applied 9/10/2024 Cheuk-Ping Wong (GSU) 14

Center Position (in each event) Distribution 9/10/2024 Cheuk-Ping Wong (GSU) 15

Summary Ring Finder Algorithm has be tested using Monte Carlo method Ring Finder Algorithm is implemented in simulation analyses 9/10/2024 Cheuk-Ping Wong (GSU) 16