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This research explores the quantification of signal loss in PMT stack cells, assessing the impact of cross-talk and radiation sources. By measuring the signal from the top and bottom faces of each cell, we aim to account for the light lost due to interference and beta particle interactions. The study proposes equations to analyze the absorption, reflection, and transmission coefficients of the materials involved. Our findings suggest that the light lost through the bottom face can significantly impact signal readings, prompting recommendations for further studies to refine the measurement of transmission, reflection, and absorption properties.
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Search for the Lost Information Through the Faces Shahab khan
Objective: Account for the Signal • Quantify the amount of signal lost to the top and bottom faces of the cell Radiation Source Signal Lost through top face Cross-talk Cross-talk Signal Lost through bottom face To PMT
Stack Cells one on top of the other Record the signal from each cell separately Account for the signal due to beta particles crossing over to the other cells Put it all together How can I find how much is lost?
X = amount of light from bottom surface S = new light from betas to bottom cell (Source) C = cross-talk Y = signal read from top cell alone d1,d2,d3 are paint thickness A, R, and T are Absorption, Reflection, and Transmission coefficients Complicated Theory Source betas Y d1 X C d2 S d3
Equations & Simplifications • T(d2)*X + R(d2)*X + A(d2)*X = X • Measurement from bottom cell gives: • S + T(d2)*X – X*C*T(d2)*X – f(X) • Possible Simplification: • A(d2)*X A(d3)*X 0
Series of Tests Test 1 Test 2 Test 3 Test 4 PMT PMT Optical paper PMT PMT
Conclusion • Not much is known to determine the exact amount of light lost • More studies should be done to determine the T, R, and A properties of the paint • However, it can be inferred that the light lost through the bottom face is enough to cause at least 40 nA, which is about 8 percent