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光谱辐射照度标准灯的数据插值与曲线拟合方法研究
引用本文:黄勃,代彩红,于家琳.光谱辐射照度标准灯的数据插值与曲线拟合方法研究[J].应用光学,2009,30(1):44-49.
作者姓名:黄勃  代彩红  于家琳
作者单位:中国计量科学研究院光学与激光计量科学研究所,北京,G100013
基金项目:国家技术监督检验检疫总局技改项目 
摘    要:介绍了多种插值方法与曲线拟合方法,对光谱辐射照度标准灯在所需波长间隔上的照度值进行内插运算,包括这些方法的模型建立、参数计算及误差分析过程。得到了效果较好的插值方法及分段普朗克曲线拟合模型,其中拟合模型较好地体现了光谱辐射照度标准灯的灯丝发射率及灯壳的光谱透射比。最终结果的相对偏差接近国家级计量院提供标准灯的最佳不确定度0.2%。

关 键 词:光谱辐射照度标准灯  插值法  曲线拟合函数  相对偏差
收稿时间:2008/8/1

Data interpolating and curve fitting for standard lamps of spectral irradiance
HUANG Bo,DAI Cai-hong,YU Jia-lin.Data interpolating and curve fitting for standard lamps of spectral irradiance[J].Journal of Applied Optics,2009,30(1):44-49.
Authors:HUANG Bo  DAI Cai-hong  YU Jia-lin
Institution:Optical Division, National Institute of Metrology, Beijing, 100013, China
Abstract:Several methods of the data interpolating and curve fitting are introduced. The interpolating operation of the illumination values at the wavelength intervals required by the spectral irradiance standard lamp was performed, in which the establishment of mathematical model, calculation of parameters and analysis of errors were involved. The satisfactory interpolating method and curve fitting model are obtained, and its relative deviations are close to the best uncertainty of the spectral irradiance standard lamp provided by National Institute of Metrology, which is 0.2%.
Keywords:standard lamp of spectral irradiance  interpolating method  curve fitting function  Plank formula  relative deviation
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