I. Introduction
Superconducting nanowire single photon detectors (SNSPDs) have achieved outstanding performance in both visible and near-infrared wavelengths with system detection efficiency (SDE) higher than 95% [1], [2], timing jitter on the order of a few ps [3], and negligible dark counts as low as 10−3 cps [4]. These merits render SNSPDs crucial in quantum information fields [5], [6], [7] and faint signal detecting scenarios [8], [9], [10]. However, despite their remarkable capability in detecting sparse photons, SNSPDs can encounter operational challenges when exposed to sudden fluctuations in photon flux density. Notably, at extremely high photon flux, SNSPDs may suffer from latching, where the device experiences an irreversible transition from the superconducting state to the resistive state, or count rate saturation, where the detector reaches its maximum count rate (MCR) and begins to lose sensitivity to additional incoming photons. This is indeed mainly attributed to the inherently restricted dynamic range of present-day SNSPD designs, which hampers their capacity to precisely and consistently detect photons under highly variable light intensity conditions [11].