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Silicon Photomultipliers are a new class of light sensitive detectors with single photon sensitivity and unprecedented photon number resolving capability. These properties open up the possibility to verify the statistics of the emitted light analysing the data collected by the sensor. In this paper, a procedure based on a Multi-Gaussian Fit of the spectrum and a model accounting for detector related effects is proposed and qualified using a LED illuminating a Silicon Photomultiplier.

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A: Silicon Photomultipliers are state-of-the-art solid state sensors of light with single photon sensitivity, unprecedented photon number resolving capability and high photon detection efficiency. SiPM are cost effective, compact, magnetic field insensitive and with an extreme flexibility in the design to cope with different applications in fundamental and applied science and industry. As a rapidly evolving technology, new generation of sensors are being continuously proposed by different producers, requiring the development of reliable and efficient SiPM characterisation methods to perform a quick assessment and comparison. The procedure presented here is based on postprocessing of digitised SiPM waveforms recording the response of the sensor to an ultra-fast light pulse. For every pulse, the signal is synchronously sampled, digitised and recorded on the timescale of a few microseconds with the objective of extracting from a single set of waveforms a full picture of the sensor characteristics in terms of Gain, Breakdown Voltage, Dark Count Rate , Optical Cross-Talk and After Pulse probability. The need of a unique and consistent data-set guarantees a fast and robust characterisation, stable against environmental condition changes, notably temperature. K: Analysis and statistical methods; Simulation methods and programs; Solid state detectors 1Corresponding author.