基于边光原理和椭流线理论提出了均分配焦椭流线的非成像光学设计方法，通过对LED光源的能量均分、椭流线虚实焦点的配对和光学仿真优化三个规范步骤实现了应用于LED匀光管均匀配光的菲涅尔反射器的光学设计.分析了光源、反射器和投射目标面三者之间的复杂关系，为LED照明设计的优化提供了方便.仿真结果表明,LED匀光管管壁照度的均匀度超过0.93，有效降低了LED光源的眩光性.

A nonimaging optical design method is proposed based on edge ray principle and ellipse flow-line theory. And a Fresnel reflector for uniform lighting LED tubes is designed through three steps: energy equipartition of LED source, target-source foci map and optimization of optical simulation. The complex relationship among the LED source, reflector and target surface is analyzed, which is helpful to optimization of the design of LED illumination. Results show that the uniform of irradiance on LED tube surface is more than 0.93, and the glare is decreased obviously.