Spectral irradiance degradation model of halogen tungsten lamps at wavelength from 400 nm to 1300 nm
doi: 10.37188/CO.EN.2021-0011
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摘要:
卤钨灯光谱辐照度衰减会增加灯-板系统的光谱辐亮度不确定度，因此，有必要对卤钨灯的衰减特性展开研究，以提高灯-板系统光谱辐亮度精度。首先，根据黑体辐射定律和维尔斯特拉斯定理，在400~1300 nm波段，提出了一种包含待定阶数的卤钨灯光谱辐照度衰减模型。然后，实验测量卤钨灯的光谱辐照度衰减曲线，分别利用不同阶数的模型对其光谱辐照度衰减曲线进行最小二乘拟合。最后，以满足重建精度要求的最低阶数作为卤钨灯光谱照度模型的阶数。对于本文所用型号的卤钨灯，当模型阶数为二阶时卤钨灯光谱辐照度衰减曲线的重建精度优于0.25%。本文给出的光谱辐照度衰减模型为提高灯-板系统的光谱辐亮度精度奠定了理论基础。
Abstract:Spectral irradiance degradation of a halogen tungsten lamp increases the spectral radiance uncertainty of an on-board lamp-diffuser calibrator that is composed of a lamp and a diffuser reflector. Therefore, it is necessary to investigate the degradation characteristics of the lamp to decrease the spectral radiance uncertainty. A spectral irradiance degradation model of a halogen tungsten lamp with an undetermined order at wavelengths from 400 nm to 1300 nm was proposed according to the blackbody radiation law and Weierstrass theorem. Then, the spectral irradiance degradation curve of the halogen tungsten lamp was experimentally measured, and it was fitted by different order models using the least squares method, respectively. The model order was determined as 2, which is the minimum order to satisfy the reconstruction accuracy required by the spectral radiance of the on-board lamp-diffuser calibrator. The reconstruction accuracy of the spectral irradiance degradation curve was better than 0.25% according to this two-order model, which lays a theoretical foundation to decrease the spectral radiance uncertainty of the on-board lamp-diffuser calibrator.
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Key words:
- halogen tungsten lamps /
- spectral irradiance /
- on-board calibrator /
- blackbody radiation
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Figure 1. Measurement scheme of the spectral irradiance degradation curve of the halogen tungsten lamp
Figure 2. (a) Extra-atmospheric solar spectral irradiance and (b) spectral irradiance of tested halogen tungsten lamp
Figure 3. Ratio of the spectral irradiance of the tested halogen tungsten lamp to the sun
Figure 4. Spectral irradiance degradation curves of (a) 1# and (b) 2# halogen tungsten lamps
Figure 5. Measurement uncertainty of the spectral irradiance degradation curve for (a) 1# and (b) 2# halogen tungsten lamps
Figure 6. Measured spectral irradiance degradation curves and fitted results with the second-order model of (a) 1# and (b) 2# halogen tungsten lamps
Figure 7. Relative standard deviations of the spectral irradiance degradation curves of (a) 1# and (b) 2# halogen tungsten lamps
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