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Table A2 Uncertainty budget of the SPAD detection efficiency measurement performed by INRIM for a mean photon number \(\mu =0.146\)

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 \( 1.603\cdot 10^{32} \) 0 0
Wavelength, λ, [m] 1.550510−6 m 610−11 m Rectangular \( -6.85\cdot 10^{4} \) −4.1110−6 3.3610−4
Speed of light, c, [m/s] 299.79245810−6 m s−1 0 Standard 3.5410−10 0 0
InGaAs SPAD Count rate, \(\rho _{\mathit{click}}\), [s−1] 2542 s−1 8 s−1 Student 6.6610−5 5.3310−4 5.64
InGaAs SPAD Dark Count rate, \(\rho _{\mathit{Dark},\mathit{click}}\), [s−1] 910 s−1 3 s−1 Student −6.4210−5 −1.9310−4 0.74
Power meter measurement, \(P_{0}\), [W] 1.1510−8 W 3.0010−11 W Standard \( -9.25\cdot 10^{6} \) −2.7810−4 1.53
Attenuator factor, α 1.7110−7 8.4210−10 Standard \( -6.21\cdot 10^{5} \) −5.2310−4 5.44
Connect/disconnect fibre factor, \(F_{\mathrm{fconn}}\) 1 0.005 Rectangular 0.106 5.3110−4 5.61
InGaAs SPAD Dead time, D, [s] 10.22010−6 s 5.9010−9 s Rectangular 252.68 1.4910−6 4.4210−5
Laser frequency, \(f_{\mathit{laser}}\), [s−1] 110103 s−1 63.51 s−1 Rectangular −1.8410−8 −1.1710−6 2.7210−5
Power meter calibration factor, \(F_{\mathrm{cal}}\) 1.046 0.020 Standard −0.102 −2.0210−3 81.04
Detection efficiency, η 0.1063 0.0022 Standard    
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