Realization of the Radiance Scale Using Transfer Function of the Laser-Based Optical System

Table 4

k = 2 expanded standard uncertainty budget for 632.8 nm in the 11 mrad FOV.

Uncertainty component (Xi)	Sym	Measured values (xi)	Unit	Standard measurement uncertainty	Unit	Sensitivity coefficient (Ci)	Unit	Uncertainty contribution	Variance
Trap detector responsivity	R	3.3170e – 01	A/W	3.6487e − 03	A/W	−1.0316e + 00	W^2/A·m^2·sr·nm	−3.7640e − 03	1.4167e − 05
Geometric constant	ΔC	6.1421e – 07	m^2·sr	1.2536e − 08	m^2·sr	−5.5711e + 05	W/(m^2·sr^2·nm	−6.9841e − 03	4.8777e − 05
Detector output signal	I^s	2.3811e – 07	A	7.8377e − 11	A	1.4371e + 06	W/A·m^2·sr·nm	1.1263e − 04	1.2687e − 08
Spectrometer output signal	I^m	2.8013e − 10	A	1.9801e − 13	A	−1.2215e + 09	W/A·m^2·sr·nm	−2.4187e − 04	5.8500e − 08
Unknown output signal	I^U	1.7669e − 10	A	6.4885e − 13	A	1.9366e + 09	W/A·m^2·sr·nm	1.2566e − 03	1.5790e − 06
Wavelength band pass	Δλ	2.6500e + 00	nm	1.0000e − 02	nm	−1.2912e − 01	W/m^2·sr·nm^2	−1.2912e − 03	1.6673e − 06
Correction factors	δR	1.2301e + 00	—	3.7718e − 04	—	1.0000e + 00	—	3.7718e − 04	1.4227e − 07
Repeatability	δR	3.6793e − 01	W/m^2·sr·nm	5.5423e − 04	W/m^2·sr·nm	1.0000e + 00	—	5.5423e − 04	3.0717e − 07
Sum (W/m^2·sr·nm)									6.6404e − 05
Total measurement uncertainty (W/m^2·sr·nm)									0.0081
Expanded measurement uncertainty (W/m^2·sr·nm)									0.0163