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Design of TIR collimating lens for ordinary differential equation of extended light source
Author(s): Qianjing Zhan; Xiaoqin Liu; Zaihong Hou; Yi Wu
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Paper Abstract

The source of LED has been widely used in our daily life. The intensity angle distribution of single LED is lambert distribution, which does not satisfy the requirement of people. Therefore, we need to distribute light and change the LED’s intensity angle distribution. The most commonly method to change its intensity angle distribution is the free surface. Generally, using ordinary differential equations to calculate free surface can only be applied in a point source, but it will lead to a big error for the expand light. This paper proposes a LED collimating lens based on the ordinary differential equation, combined with the LED's light distribution curve, and adopt the method of calculating the center gravity of the extended light to get the normal vector. According to the law of Snell, the ordinary differential equations are constructed. Using the runge-kutta method for solution of ordinary differential equation solution, the curve point coordinates are gotten. Meanwhile, the edge point data of lens are imported into the optical simulation software TracePro. Based on 1mm×1mm single lambert body for light conditions, The degrees of collimating light can be close to ±3. Furthermore, the energy utilization rate is higher than 85%. In this paper, the point light source is used to calculate partial differential equation method and compared with the simulation of the lens, which improve the effect of 1 degree of collimation.

Paper Details

Date Published: 25 October 2017
PDF: 8 pages
Proc. SPIE 10460, AOPC 2017: Optoelectronics and Micro/Nano-Optics, 104601T (25 October 2017); doi: 10.1117/12.2285633
Show Author Affiliations
Qianjing Zhan, Hefei Institute of Physical Sciences (China)
Univ. of Science and Technology of China (China)
Xiaoqin Liu, Hefei Institute of Physical Sciences (China)
Zaihong Hou, Hefei Institute of Physical Sciences (China)
Yi Wu, Hefei Institute of Physical Sciences (China)


Published in SPIE Proceedings Vol. 10460:
AOPC 2017: Optoelectronics and Micro/Nano-Optics
Min Qiu; Min Gu; Xiaocong Yuan; Zhiping Zhou, Editor(s)

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