Correcting for accidental correlations in saturated avalanche photodiodes
James A. Grieve, Rakhitha Chandrasekara, Zhongkan Tang, Cliff Cheng,, Alexander Ling

TL;DR
This paper introduces a method to accurately estimate accidental coincidence rates in saturated avalanche photodiodes by modeling recovery effects, leading to improved background subtraction and higher polarization correlation visibility.
Contribution
It presents a novel model incorporating detector recovery behavior into accidental coincidence estimation, enhancing accuracy during saturation conditions.
Findings
Improved polarization correlation visibility from 88.7% to 96.9%.
Effective background subtraction at high event rates.
Enhanced signal-to-noise ratio in coincidence measurements.
Abstract
In this paper we present a general method for estimating rates of accidental coincidence between a pair of single photon detectors operated within their saturation regimes. By folding the effects of recovery time of both detectors and the detection circuit into an "effective duty cycle" we are able to accomodate complex recovery behaviour at high event rates. As an example, we provide a detailed high-level model for the behaviour of passively quenched avalanche photodiodes, and demonstrate effective background subtraction at rates commonly associated with detector saturation. We show that by post-processing using the updated model, we observe an improvement in polarization correlation visibility from 88.7% to 96.9% in our experimental dataset. This technique will be useful in improving the signal-to-noise ratio in applications which depend on coincidence measurements, especially in…
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