Describing the response of saturated SiPMs

We have developed a function which describes SiPM response in both small signal and highly saturated regimes. The function includes the reactivation of SiPM pixels during a single input light pulse, and results in an approximately linear increase of SiPM response in the highly saturated regime, as observed in real SiPMs. This article shows that the function can accurately describe the measured response of real SiPM devices over a wide range of signal intensities.