Development of a detector-based absolute spectral irradiance scale in the 380–900-nm spectral range

Petri Kärhä; Pasi Toivanen; Farshid Manoochehri; Erkki Ikonen

doi:10.1364/AO.36.008909

Applied Optics
Vol. 36,
Issue 34,
pp. 8909-8918
(1997)
•https://doi.org/10.1364/AO.36.008909

Development of a detector-based absolute spectral irradiance scale in the 380–900-nm spectral range

Petri Kärhä, Pasi Toivanen, Farshid Manoochehri, and Erkki Ikonen

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Petri Kärhä, Pasi Toivanen, Farshid Manoochehri, and Erkki Ikonen, "Development of a detector-based absolute spectral irradiance scale in the 380–900-nm spectral range," Appl. Opt. 36, 8909-8918 (1997)

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Abstract

A detector-based absolute scale for spectral irradiance in the 380–900-nm wavelength region has been developed and tested at the Helsinki University of Technology (HUT). Derivation of the scale and its use for photometric and colorimetric measurements are described. A thorough characterization of a filter radiometer, constructed from a reflection trap detector, a precision aperture, and a set of seven temperature-controlled bandpass filters, is presented. A detailed uncertainty analysis of the scale indicates a relative standard uncertainty of approximately 0.2% throughout most of the wavelength region. The standard uncertainties obtained in measurements of correlated color temperature and luminous intensity of three Osram Wi41/G tungsten–halogen lamps are 2 K and 0.3%, respectively. The spectral irradiance scale is compared with the HUT luminous intensity scale. The agreement of the results at the 0.1% level is well within the combined standard uncertainty of the two scales.

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λ₀ (nm)	λ_eff (nm)b	τ_max (%)	Δλ (nm)
380	382	37	10
500	501	59	20
555	572	55	117
600	599	70	22
700	698	83	23
800	801	80	17
900	902	63	11

λ (nm)	E(λ) (mW m^-2 nm^-1)
λ (nm)	Lamp 1	Lamp 2	Lamp 3
382	0.1749	0.1726	0.1690
501	1.079	1.059	1.049
572	1.950	1.915	1.898
599	2.290	2.250	2.229
698	3.451	3.387	3.363
801	4.276	4.185	4.165
902	4.601	4.502	4.479

Parameters	Lamp 1	Lamp 2	Lamp 3
Lamp current (A)	5.9178	5.8732	5.9103
x (%)	44.772	44.755	44.781
y (%)	40.844	40.839	40.847
Correlated color temperature T_c (K)	2861	2863	2860
Calculated luminous intensity (cd)	296.4	290.9	288.4
Measured luminous intensity (cd)	297.0	291.7	289.1
Relative differencea	-0.20%	-0.27%	-0.24%

Source of Uncertainty	Magnitude (1 σ)	Relative Uncertainty in Irradiance (%)
Source of Uncertainty	Magnitude (1 σ)	382 nm	501 nm	572 nm	599 nm	698 nm	801 nm	902 nm
Detector
Responsivity of detector		0.5	0.1	0.1	0.1	0.1	0.1	0.1
Photocurrent measurement		0.1	0.05	0.05	0.05	0.05	0.05	0.05
Nonlinearity		0.05	0.01	0.01	0.01	0.01	0.01	0.01
Filter
Peak transmittance		0.4	0.05	0.07	0.07	0.08	0.10	0.09
Wavelength scale uncertainty	0.06 nm	0.13	0.061	0.039	0.033	0.017	0.007	0.002
Wavelength setting repeatability	0.015 nm	0.15	0.08	0.01	0.08	0.08	0.08	0.15
Temperature of the filter	0.4 K	0.002	0.010	0.032	0.003	0.002	0.022	0.021
Out-of-band leakage		0.091	0.038	0.020	0.055	0.025	0.005	0.008
Irradiance measurement
Lamp current measurement	0.005%	0.059	0.048	0.033	0.039	0.036	0.018	0.022
Distance measurement	0.5 mm	0.067	0.067	0.067	0.067	0.067	0.067	0.067
Repeatability		0.3	0.07	0.07	0.07	0.07	0.07	0.07
Diffraction		0.01	0.01	0.01	0.01	0.01	0.01	0.01
Aperture area	2 µm in ϕ	0.1	0.1	0.1	0.1	0.1	0.1	0.1
Interreflections in the filter radiometer		0.10	0.021	0.003	0.030	0.026	0.012	0.022
Combined uncertainty		0.77	0.22	0.20	0.22	0.22	0.22	0.25
Expanded uncertainty	(k = 2)	1.54	0.44	0.40	0.44	0.44	0.44	0.50

λ₀ (nm)	λ_eff (nm)b	τ_max (%)	Δλ (nm)
380	382	37	10
500	501	59	20
555	572	55	117
600	599	70	22
700	698	83	23
800	801	80	17
900	902	63	11

λ₀ (nm)	λ_eff (nm)b	τ_max (%)	Δλ (nm)
380	382	37	10
500	501	59	20
555	572	55	117
600	599	70	22
700	698	83	23
800	801	80	17
900	902	63	11

λ₀ (nm)	λ_eff (nm)b	τ_max (%)	Δλ (nm)
380	382	37	10
500	501	59	20
555	572	55	117
600	599	70	22
700	698	83	23
800	801	80	17
900	902	63	11

λ₀ (nm)	λ_eff (nm)b	τ_max (%)	Δλ (nm)
380	382	37	10
500	501	59	20
555	572	55	117
600	599	70	22
700	698	83	23
800	801	80	17
900	902	63	11

λ₀ (nm)	λ_eff (nm)b	τ_max (%)	Δλ (nm)
380	382	37	10
500	501	59	20
555	572	55	117
600	599	70	22
700	698	83	23
800	801	80	17
900	902	63	11

Abstract

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Figures (7)

Tables (4)

Equations (11)

Applied Optics

λ₀ (nm)	λ_eff (nm)b	τ_max (%)	Δλ (nm)
380	382	37	10
500	501	59	20
555	572	55	117
600	599	70	22
700	698	83	23
800	801	80	17
900	902	63	11

λ₀ (nm)	λ_eff (nm)b	τ_max (%)	Δλ (nm)
380	382	37	10
500	501	59	20
555	572	55	117
600	599	70	22
700	698	83	23
800	801	80	17
900	902	63	11