Table A2 Uncertainty budget of the SPAD detection efficiency measurement performed by INRIM for a mean photon number \(\mu =0.146\)
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 | \( 1.603\cdot 10^{32} \) | 0 | 0 |
Wavelength, λ, [m] | 1.5505⋅10−6 m | 6⋅10−11 m | Rectangular | \( -6.85\cdot 10^{4} \) | −4.11⋅10−6 | 3.36⋅10−4 |
Speed of light, c, [m/s] | 299.792458⋅10−6 m s−1 | 0 | Standard | 3.54⋅10−10 | 0 | 0 |
InGaAs SPAD Count rate, \(\rho _{\mathit{click}}\), [s−1] | 2542 s−1 | 8 s−1 | Student | 6.66⋅10−5 | 5.33⋅10−4 | 5.64 |
InGaAs SPAD Dark Count rate, \(\rho _{\mathit{Dark},\mathit{click}}\), [s−1] | 910 s−1 | 3 s−1 | Student | −6.42⋅10−5 | −1.93⋅10−4 | 0.74 |
Power meter measurement, \(P_{0}\), [W] | 1.15⋅10−8 W | 3.00⋅10−11 W | Standard | \( -9.25\cdot 10^{6} \) | −2.78⋅10−4 | 1.53 |
Attenuator factor, α | 1.71⋅10−7 | 8.42⋅10−10 | Standard | \( -6.21\cdot 10^{5} \) | −5.23⋅10−4 | 5.44 |
Connect/disconnect fibre factor, \(F_{\mathrm{fconn}}\) | 1 | 0.005 | Rectangular | 0.106 | 5.31⋅10−4 | 5.61 |
InGaAs SPAD Dead time, D, [s] | 10.220⋅10−6 s | 5.90⋅10−9 s | Rectangular | 252.68 | 1.49⋅10−6 | 4.42⋅10−5 |
Laser frequency, \(f_{\mathit{laser}}\), [s−1] | 110⋅103 s−1 | 63.51 s−1 | Rectangular | −1.84⋅10−8 | −1.17⋅10−6 | 2.72⋅10−5 |
Power meter calibration factor, \(F_{\mathrm{cal}}\) | 1.046 | 0.020 | Standard | −0.102 | −2.02⋅10−3 | 81.04 |
Detection efficiency, η | 0.1063 | 0.0022 | Standard |