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单色发光二极管(LED)具有半波宽较窄、单色性好、发光强度稳定等优点,因此能够混合模拟出具有任意光谱的光源。单色LED光谱数学模型的建立是研究混合光源的基础。利用高斯和洛伦兹模型可以近似模拟单色LED光谱曲线,然而,由于单色LED光谱具有非对称性,使得二者拟合出的曲线与实测光谱曲线之间有一定的误差。本文主要基于LED发光机理,从原理上提出了一个能够准确表征蓝色LED光谱曲线的数学模型,利用该模型在MATLAB及ORIGIN软件中对实测数据进行了拟合。拟合结果显示,该模型即为蓝色LED光谱的数学模型,并且较高斯和洛伦兹分布模型具有更大的优势。
Monochromatic light-emitting diodes (LEDs) have the advantages of narrow half-wave width, good monochromaticity and stable luminous intensity. Therefore, a light source with any spectrum can be mixed and simulated. The establishment of a mathematical model of monochromatic LED spectrum is the basis for the study of mixed light sources. Gaussian and Lorentz models can be used to approximate the monochromatic LED spectral curve. However, due to the asymmetric monochromatic LED spectrum, there is a certain error between the fitted curve and the measured spectral curve. Based on the principle of LED luminescence, a mathematical model that can accurately characterize the blue LED spectral curve is proposed in this paper. The measured data are fitted by MATLAB and ORIGIN software. The fitting results show that the model is the mathematical model of the blue LED spectrum, and the Gaussian and Lorentz distribution models have a greater advantage.