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Counting Statistics of Single-Photon Avalanche Diodes

Authors
  • Straka, Ivo
  • Grygar, Jan
  • Hloušek, Josef
  • Ježek, Miroslav
Publication Date
Jan 27, 2020
Source
INSPIRE-HEP
Keywords
License
Unknown
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Abstract

This work presents stochastic approaches to modeling the counting behavior of single-photon avalanche diodes (SPADs). We present both analytical expressions and simulation algorithms predicting the distribution of the number of detections in a finite time window. We also present formulas for the mean detection rate. The approaches cover recovery time, afterpulsing, and twilight pulsing. We experimentally compare the theoretical predictions to measured data using commercially available silicon SPADs. Their total variation distances range from $10^{-5}$ to $10^{-2}$.

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