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Table A4 Uncertainty budget for the detection efficiency measurement performed by PTB for a mean photon number \(\mu =0.093\)

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 J s Rectangular 1.6231032 0 0
Wavelength, λ, [m] 1.550510−6 m 610−11 m Rectangular −6.94104 −4.1610−6 1.9110−3
Speed of light, c, [m/s] 299.79245810−6 m s−1 0 m s−1 Standard 3.5910−10 0 0
InGaAs Responsivity, \(s_{\mathrm{InGaAs}}\) [A/W] 1.0502 A/W 0.003 A/W Standard 0.102 4.3010−4 20.40
InGaAs SPAD Count rate, \(\rho _{\mathit{click}}\), [s−1] 1972 count s−1 2.484 count s−1 Standard 1.0310−4 2.5510−4 7.18
InGaAs SPAD Dark Count rate, \(\rho _{\mathit{Dark},\mathit{click}}\), [s−1] 910 count s−1 2.760 count s−1 Standard −1.0010−4 −2.7710−4 8.43
InGaAs Photocurrent, \(I_{\mathrm{ph}}\), [A] 8.82210−11 A 2.4710−14 A Standard −1.22109 −3.0110−5 0.10
Attenuator factor, α 1.558810−5 7.7910−8 Standard −6898.99 −5.3810−4 31.88
InGaAs Linearity correction factor, \(F_{\mathrm{Lin}}\) −2.410−4 2.8910−4 Rectangular −0.11 −3.1110−5 0.11
InGaAs SPAD Dead time, D, [s] 10.22010−6 s 5.9010−9 Rectangular 284.38 1.6410−6 3.1010−4
Laser frequency, \(f_{\mathit{laser}}\), [s−1] 110,000 s−1 63.51 s−1 Rectangular −8.1210−9 −5.1610−7 2.9510−5
Connect/disconnect fibre factor, \(F_{\mathrm{fconn}}\) 1 0.005 Rectangular 0.108 5.3810−4 31.88
Detection efficiency, η 0.1076 0.0010 Standard    
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