Table A4 Uncertainty budget for the detection efficiency measurement performed by PTB for a mean photon number \(\mu =0.093\)
Measurand | Value | Standard Uncertainty | Type of distribution | Sensitivity coefficient | Contribution | Contribution (%) |
|---|---|---|---|---|---|---|
Planck’s constant, h, [J s] | 6.62607015⋅10−34 J s | 0 J s | Rectangular | 1.623⋅1032 | 0 | 0 |
Wavelength, λ, [m] | 1.5505⋅10−6 m | 6⋅10−11 m | Rectangular | −6.94⋅104 | −4.16⋅10−6 | 1.91⋅10−3 |
Speed of light, c, [m/s] | 299.792458⋅10−6 m s−1 | 0 m s−1 | Standard | 3.59⋅10−10 | 0 | 0 |
InGaAs Responsivity, \(s_{\mathrm{InGaAs}}\) [A/W] | 1.0502 A/W | 0.003 A/W | Standard | 0.102 | 4.30⋅10−4 | 20.40 |
InGaAs SPAD Count rate, \(\rho _{\mathit{click}}\), [s−1] | 1972 count s−1 | 2.484 count s−1 | Standard | 1.03⋅10−4 | 2.55⋅10−4 | 7.18 |
InGaAs SPAD Dark Count rate, \(\rho _{\mathit{Dark},\mathit{click}}\), [s−1] | 910 count s−1 | 2.760 count s−1 | Standard | −1.00⋅10−4 | −2.77⋅10−4 | 8.43 |
InGaAs Photocurrent, \(I_{\mathrm{ph}}\), [A] | 8.822⋅10−11 A | 2.47⋅10−14 A | Standard | −1.22⋅109 | −3.01⋅10−5 | 0.10 |
Attenuator factor, α | 1.5588⋅10−5 | 7.79⋅10−8 | Standard | −6898.99 | −5.38⋅10−4 | 31.88 |
InGaAs Linearity correction factor, \(F_{\mathrm{Lin}}\) | −2.4⋅10−4 | 2.89⋅10−4 | Rectangular | −0.11 | −3.11⋅10−5 | 0.11 |
InGaAs SPAD Dead time, D, [s] | 10.220⋅10−6 s | 5.90⋅10−9 | Rectangular | 284.38 | 1.64⋅10−6 | 3.10⋅10−4 |
Laser frequency, \(f_{\mathit{laser}}\), [s−1] | 110,000 s−1 | 63.51 s−1 | Rectangular | −8.12⋅10−9 | −5.16⋅10−7 | 2.95⋅10−5 |
Connect/disconnect fibre factor, \(F_{\mathrm{fconn}}\) | 1 | 0.005 | Rectangular | 0.108 | 5.38⋅10−4 | 31.88 |
Detection efficiency, η | 0.1076 | 0.0010 | Standard |