| Citation: | ZHANG Ya-chao, YE Xin, XIA Zhi-wei, SUI Long, FANG Wei. Spectral irradiance degradation model of halogen tungsten lamps at wavelength from 400 nm to 1300 nm[J]. Chinese Optics, 2022, 15(4): 825-834. doi: 10.37188/CO.EN.2021-0011
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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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