Design of TIR collimating lens for ordinary differential equation of extended light source

Qianjing Zhan; Xiaoqin Liu; Zaihong Hou; Yi Wu

doi:10.1117/12.2285633

25 October 2017 Design of TIR collimating lens for ordinary differential equation of extended light source

Qianjing Zhan, Xiaoqin Liu, Zaihong Hou, Yi Wu

Proceedings Volume 10460, AOPC 2017: Optoelectronics and Micro/Nano-Optics; 104601T (2017) https://doi.org/10.1117/12.2285633
Event: Applied Optics and Photonics China (AOPC2017), 2017, Beijing, China

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.

Citation Download Citation

Qianjing Zhan, Xiaoqin Liu, Zaihong Hou, and Yi Wu "Design of TIR collimating lens for ordinary differential equation of extended light source", Proc. SPIE 10460, AOPC 2017: Optoelectronics and Micro/Nano-Optics, 104601T (25 October 2017); https://doi.org/10.1117/12.2285633

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KEYWORDS

Light sources

Light

Light emitting diodes

Ordinary differential equations

3D modeling

Collimation

Error analysis

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