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Table A1 Uncertainty budget of the SPAD detection efficiency measurement performed by CMI for a mean photon number \(\mu =0.144\)

From: A study to develop a robust method for measuring the detection efficiency of free-running InGaAs/InP single-photon detectors

Measurand Value Standard Uncertainty Type of distribution Sensitivity coefficient Contribution Contribution (%)
Planck’s constant, h, [J s] 6.6260701510−34 J s 0 Rectangular 1.6161032 0 0
Wavelength, λ, [m] 1.550510−6 m 610−11 m Rectangular −69,093.55445 −4.1510−6 2.4710−4
Speed of light, c, [m s−1] 299.79245810−6 m s−1 0 Standard 3.5710−10 0 0
InGaAs SPAD count rate, \(\rho _{\mathit{click}}\), [s−1] 2536 s−1 7.0 s−1 Standard 6.7310−5 4.7110−4 3.19
InGaAs SPAD dark count rate, \(\rho _{\mathit{Dark},\mathit{click}}\), [s−1] 908 s−1 3.0 s−1 Standard −6.4910−5 −1.9510−4 0.54
LOFIR measured optical Power, \(P_{0,\mathrm{LOFIR}}\), [W] 1.7210−13 W 2.8210−15 W Standard −6.231011 −1.7610−3 44.46
Splitting Ratio, \(R_{\mathrm{spl}}\) 0.01181 2.0110−4 Standard −9.07 −1.8210−3 47.68
Fibre connect/disconnect factor, \(F_{\mathrm{fconn}}\) 1 0.005 Rectangular −0.107 −5.3610−4 4.13
InGaAs SPAD Dead time, D, [s] 10.22010−6 s 5.9010−9 s Rectangular 254.2 1.5010−6 3.2310−5
Laser frequency, \(f_{\mathit{laser}}\), [s−1] 110103 s−1 63.51 Rectangular −1.8510−8 −1.1810−6 1.9910−5
Detection efficiency, η 0.1071 0.0026 Standard    
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