Simulating Silicon Photomultiplier Response to Scintillation Light

The response of a Silicon Photomultiplier (SiPM) to optical signals is affected by many factors including photon-detection efficiency, recovery time, gain, optical crosstalk, afterpulsing, dark count, and detector dead time. Many of these parameters vary with overvoltage and temperature. When used to detect scintillation light, there is a complicated non-linear relationship between the incident light and the response of the SiPM. In this paper, we propose a combined discrete-time discrete-event Monte Carlo (MC) model to simulate SiPM response to scintillation light pulses. Our MC model accounts for all relevant aspects of the SiPM response, some of which were not accounted for in the previous models. We also derive and validate analytic expressions for the single-photoelectron response of the SiPM and the voltage drop across the quenching resistance in the SiPM microcell. These analytic expressions consider the effect of all the circuit elements in the SiPM and accurately simulate the time-variation in overvoltage across the microcells of the SiPM. Consequently, our MC model is able to incorporate the variation of the different SiPM parameters with varying overvoltage. The MC model is compared with measurements on SiPM-based scintillation detectors and with some cases for which the response is known a priori. The model is also used to study the variation in SiPM behavior with SiPM-circuit parameter variations and to predict the response of a SiPM-based detector to various scintillators.

[1]  Stefano Buono,et al.  Silicon photomultipliers and their bio-medical applications , 2007 .

[2]  L. A. Filatov,et al.  The Advanced Study of Silicon Photomultiplier , 2002 .

[3]  W. Choong.  The timing resolution of scintillation-detector systems: Monte Carlo analysis , 2009, Physics in medicine and biology.

[4]  Freek J. Beekman,et al.  SiPM-array based PET detectors with depth-of-interaction correction , 2008, 2008 IEEE Nuclear Science Symposium Conference Record.

[5]  Ju-Hwan Cha,et al.  Combined discrete event and discrete time simulation framework and its application to the block erection process in shipbuilding , 2010, Adv. Eng. Softw..

[6]  D. Renker.  New developments on photosensors for particle physics , 2009 .

[7]  C. Levin,et al.  Scintillation induced response in passively-quenched Si-based single photon counting avalanche diode arrays. , 2011, Optics express.

[8]  Rainer Stamen,et al.  Characterisation Studies of Silicon Photomultipliers , 2010, 1003.6071.

[9]  D. A. van Beek,et al.  SPECIFICATION OF COMBINED CONTINUOUS-TIME / DISCRETE-EVENT MODELS , 1996 .

[10]  D. Schaart,et al.  Simulation of Silicon Photomultiplier Signals , 2009, IEEE Transactions on Nuclear Science.

[11]  C. Piemonte,et al.  Recent developments on silicon photomultipliers produced at FBK-irst , 2007, 2007 IEEE Nuclear Science Symposium Conference Record.

[12]  P. Achenbach,et al.  Characterisation of radiation damage in silicon photomultipliers with a Monte Carlo model , 2008, 0805.4158.

[13]  Fabrice Retiere,et al.  After-pulsing and cross-talk in multi-pixel photon counters , 2008 .

[14]  S. Cova,et al.  Progress in Silicon Single-Photon Avalanche Diodes , 2007, IEEE Journal of Selected Topics in Quantum Electronics.

[15]  P. Dorenbos,et al.  Advances in Yield Calibration of Scintillators , 2008, IEEE Transactions on Nuclear Science.

[16]  Erika Garutti,et al.  A high-granularity scintillator calorimeter readout with silicon photomultipliers , 2005 .

[17]  S. Cova,et al.  Towards picosecond resolution with single-photon avalanche diodes , 1981 .

[18]  F. Retière.  MPPC response simulation and high speed readout optimization , 2009, 2009 IEEE Nuclear Science Symposium Conference Record (NSS/MIC).

[19]  G. Arfken,et al.  Mathematical methods for physicists 6th ed. , 1996 .

[20]  A. Lacaita,et al.  Avalanche photodiodes and quenching circuits for single-photon detection. , 1996, Applied optics.

[21]  J. David,et al.  Simulated current response in avalanche photodiodes , 2002 .

[22]  A. Lacaita,et al.  Trapping phenomena in avalanche photodiodes on nanosecond scale , 1991, IEEE Electron Device Letters.

[23]  C. Piemonte,et al.  Novel Silicon Photomultipliers for PET Applications , 2006, IEEE Transactions on Nuclear Science.

[24]  Nan Zhang,et al.  SiPM performance in PET applications: An experimental and theoretical analysis , 2009, 2009 IEEE Nuclear Science Symposium Conference Record (NSS/MIC).

[25]  T. Frach,et al.  The digital silicon photomultiplier — Principle of operation and intrinsic detector performance , 2009, 2009 IEEE Nuclear Science Symposium Conference Record (NSS/MIC).

[26]  H. Barrett,et al.  Maximum-Likelihood Methods for Processing Signals From Gamma-Ray Detectors , 2009, IEEE Transactions on Nuclear Science.

[27]  Mark T Madsen,et al.  Recent Advances in SPECT Imaging , 2007, Journal of Nuclear Medicine.

[28]  Jae Sung Lee,et al.  Development of Small-Animal PET Prototype Using Silicon Photomultiplier (SiPM): Initial Results of Phantom and Animal Imaging Studies , 2011, The Journal of Nuclear Medicine.

[29]  Sascha Moehrs,et al.  A detector head design for small-animal PET with silicon photomultipliers (SiPM) , 2006, Physics in medicine and biology.

[30]  Maurizio Boscardin,et al.  Modelling a silicon photomultiplier (SiPM) as a signal source for optimum front-end design , 2007 .

[31]  M. Moszynski,et al.  Energy resolution of scintillation detectors with SiPM light readout , 2010, IEEE Nuclear Science Symposuim & Medical Imaging Conference.

[32]  Harrison H. Barrett,et al.  SCOUT : A Fast Monte-Carlo Modeling Tool of Scintillation Camera Output , 2010 .

[33]  D. Meier,et al.  Gamma spectroscopy using a silicon photomultiplier and a scintillator , 2005, IEEE Nuclear Science Symposium Conference Record, 2005.

[34]  Manuel Desco,et al.  Performance evaluation of SiPM detectors for PET imaging in the presence of magnetic fields , 2008, 2008 IEEE Nuclear Science Symposium Conference Record.

[35]  F. Beekman,et al.  A Comprehensive Model of the Response of Silicon Photomultipliers , 2010, IEEE Transactions on Nuclear Science.

[36]  Massimo Mazzillo,et al.  Timing Performances of Large Area Silicon Photomultipliers Fabricated at STMicroelectronics , 2010, IEEE Transactions on Nuclear Science.

[37]  D. Renker,et al.  A Monte-Carlo model of a SiPM coupled to a scintillating crystal , 2012 .

[38]  Robert Klanner,et al.  Limited Geiger-mode microcell silicon photodiode: new results , 2000 .

[39]  A. Tosi,et al.  SPICE modeling of single photon avalanche diodes , 2009 .

[40]  S. Reucroft,et al.  On the limited amplitude resolution of multipixel Geiger-mode APDs , 2007 .

[41]  William P. Risk,et al.  Dark count probability and quantum efficiency of avalanche photodiodes for single-photon detection , 2003 .

[42]  V. Saveliev,et al.  Novel type of avalanche photodetector with Geiger mode operation , 2004 .

[43]  Edoardo Charbon,et al.  A single photon avalanche diode array fabricated in 0.35-μm CMOS and based on an event-driven readout for TCSPC experiments , 2006, SPIE Optics East.

[44]  Eiji Sugiyama,et al.  Interference between PET and MRI sub-systems in a silicon-photomultiplier-based PET/MRI system , 2011, Physics in medicine and biology.

[45]  M. Moszynski,et al.  Silicon photomultiplier as an alternative for APD in PET/MRI applications , 2008, 2008 IEEE Nuclear Science Symposium Conference Record.

[46]  Fabrice Retiere,et al.  Characterization of Multi Pixel Photon Counters for T2K Near Detector , 2009 .

[47]  Tadashi Watabe,et al.  Development of a Si-PM-based high-resolution PET system for small animals , 2010, Physics in medicine and biology.