基于面积差的全光谱近似度方法与GFC拟合度系数等计算方法辨析对比

Comparison between the Full Spectrum Approximation Evaluation Method Based on Area Difference and the GFC Fitting Coefficient Calculation Method

全光谱照明技术已成为半导体照明产业发展的重要方向,由于全光谱技术是以同色温太阳光谱为比对基准光谱,因此如何判断评价照明产品光谱与基准光谱的接近程度,是关乎第三方检测机构产品质量评价和产业界产品性能提升的关键技术问题。本文以基于面积差的光谱近似度方法与拟合度系数法(简称GFC法)和余弦相似光谱拟合度系数法(简称SCS法)(SCS法和GFC法是柯西不等式的两种表达形式)在几何、数学证明和计算实例3个方面做对比。实际计算案例对比表明,基于面积差的相对光谱近似度计算方法与相对面积误差呈完全的线性关系且有明确的几何意义,而与GFC法在模拟光谱的计算结果对比差别很大,GFC法既没有明确的几何或物理意义,也无法表征两个光谱之间的细微差别。

Full spectrum lighting technology has become an important direction for the development of the semiconductor lighting industry.Full spectrum technology uses solar spectrum as the reference spectrum for comparison,how to evaluate the similarity between the lighting product spectrum and the reference spectrum is a key technical issue related to the quality evaluation of testing laboratories and the improvement of product performance in the industry.This article compares the spectral approximation method based on area difference with the fitting coefficient method(GFC method)and cosine similarity spectral fitting coefficient method(SCS method and GFC method are two expressions of Cauchy inequality)in three aspects:geometric figure,mathematical proof,and practical calculation examples.The comparison of actual calculation cases shows that the relative spectral approximation calculation method based on area difference has a completely linear relationship with relative area error and has clear geometric significance.However,compared with the GFC method in simulating spectral calculation results,there is a significant difference.The GFC method neither has clear geometric or physical significance,nor can it characterize the subtle differences between the two spectra.