Table A1 Uncertainty budget of the SPAD detection efficiency measurement performed by CMI for a mean photon number \(\mu =0.144\)
Measurand | Value | Standard Uncertainty | Type of distribution | Sensitivity coefficient | Contribution | Contribution (%) |
|---|---|---|---|---|---|---|
Planck’s constant, h, [J s] | 6.62607015⋅10−34 J s | 0 | Rectangular | 1.616⋅1032 | 0 | 0 |
Wavelength, λ, [m] | 1.5505⋅10−6 m | 6⋅10−11 m | Rectangular | −69,093.55445 | −4.15⋅10−6 | 2.47⋅10−4 |
Speed of light, c, [m s−1] | 299.792458⋅10−6 m s−1 | 0 | Standard | 3.57⋅10−10 | 0 | 0 |
InGaAs SPAD count rate, \(\rho _{\mathit{click}}\), [s−1] | 2536 s−1 | 7.0 s−1 | Standard | 6.73⋅10−5 | 4.71⋅10−4 | 3.19 |
InGaAs SPAD dark count rate, \(\rho _{\mathit{Dark},\mathit{click}}\), [s−1] | 908 s−1 | 3.0 s−1 | Standard | −6.49⋅10−5 | −1.95⋅10−4 | 0.54 |
LOFIR measured optical Power, \(P_{0,\mathrm{LOFIR}}\), [W] | 1.72⋅10−13 W | 2.82⋅10−15 W | Standard | −6.23⋅1011 | −1.76⋅10−3 | 44.46 |
Splitting Ratio, \(R_{\mathrm{spl}}\) | 0.01181 | 2.01⋅10−4 | Standard | −9.07 | −1.82⋅10−3 | 47.68 |
Fibre connect/disconnect factor, \(F_{\mathrm{fconn}}\) | 1 | 0.005 | Rectangular | −0.107 | −5.36⋅10−4 | 4.13 |
InGaAs SPAD Dead time, D, [s] | 10.220⋅10−6 s | 5.90⋅10−9 s | Rectangular | 254.2 | 1.50⋅10−6 | 3.23⋅10−5 |
Laser frequency, \(f_{\mathit{laser}}\), [s−1] | 110⋅103 s−1 | 63.51 | Rectangular | −1.85⋅10−8 | −1.18⋅10−6 | 1.99⋅10−5 |
Detection efficiency, η | 0.1071 | 0.0026 | Standard |