Calibrating the photometric performance of a high-time-resolution photon-counting imager for optical astronomy

Optical observations with high time resolution are essential for understanding the origin of sub-millisecond timescale astronomical phenomena, including giant radio pulses from the Crab Pulsar. We have developed a high-speed imaging system called the Imager of MPPC-based Optical photoN counter from Yamagata (IMONY). The system uses a customized Multi-Pixel Photon Counter (MPPC), which independently reads out signals from all $8\times8$ pixels and functions as an imager based on a Geiger-mode avalanche photodiode array. This system assigns timestamps to detected photons with a time resolution of 100 ns. We installed IMONY on the 3.8 m aperture Seimei Telescope in Okayama, Japan. We have successfully detected the 34-ms period of the Crab Pulsar and imaged stars in the sensor's field of view. However, we have also found that a small fraction of the pixels have shown double or multiple pulses that are used for photon arrival timing. This situation is likely due to circuit noise and may unfortunately result in overestimating the number of photons detected. In order to precisely estimate the photon flux of targets or the sky background, calibration of such over-counts is important. We measured the number of detected photons relative to the light intensity of each pixel in a laboratory environment. We estimated the number of spurious hit pulses caused by signal tail fluctuations exceeding the comparator threshold, based on the exponential distribution of time intervals between pulses. These are distinct from typical SiPM afterpulses and originate from electronic effects in our readout system. After applying the calibration to the observed data, we confirmed the linearity between the V-band magnitudes of stars and the number of detected photons.