中国光学, 2012, 5 (5): 493, 网络出版: 2012-10-12
由多个高斯函数表征的发光二极管光谱模型
LED spectral model characterized by several Gaussian functions
光谱模型 发光二极管(LED) 高斯分布函数 最小二乘法 spectral model Light Emitting Diode(EDL) Gaussian distribution function least square method
摘要
利用发光二极管(LED)光色电综合测试系统测量不同颜色不同功率的LED在多个电流下的光谱,提出并构建了由多个高斯函数组成的LED光谱模型,并根据各颜色LED在额定电流下的光谱计算模型中的系数,最后将该模型与已报道的模型进行了对比。研究表明:对于光谱有n(n≥1)个波峰的LED,可用3n个高斯函数形式的模型来表示,大功率红、黄、蓝、绿、白色LED模型与实测光谱之间平均误差分别为345%、101%、233%、465%、249%,小功率LED的平均误差分别为261%、265%、377%、287%、248%。与已报道的模型相比,该模型精度高,普适性好。本研究对LED光度色度测量仪器的研制及智能化LED产品的设计具有重要意义。
Abstract
The spectra of Light Emitting Diode(LEDs) with different colors and powers are measured with a photometric, chromatic and electric characteristic analyzer, and then a new model consisted of several Gaussian distribution functions is used to represent the spectra of LED. Meanwhile, the model coefficients are calculated through the LED spectra in a rated current. It is shown that an expression with 3n Gaussian distribution functions is proper to represent the LED′s spectrum of n peaks. The errors between the established model and the actual spectra of high power LEDs of red, yellow, blue, green and white color are 345%, 101%, 233%, 465% and 249%, respectively. For the low-power LEDs, the errors are 261%, 265%, 377%, 287% and 248%, respectively. Compared with the reported models, the established model has characteristics of high precision and good universality. This study is very important to design the photometric, chromatic instruments or the intelligent products of LEDs.
谈茜, 饶丰, 张永林, 徐何辰. 由多个高斯函数表征的发光二极管光谱模型[J]. 中国光学, 2012, 5(5): 493. TAN Qian, RAO Feng, ZHANG Yong-lin, XU He-chen. LED spectral model characterized by several Gaussian functions[J]. Chinese Optics, 2012, 5(5): 493.