The characteristics of the light emitting diode (LED)limit its applications in various lighting fields. The allocation of LED power to form an ideal luminance on a target plane was investigated. This paper analyzed the designs of optical systems on different applications, obtained the formula of the lens by adopting etendue conservation method in non-imaging optics, achieved round uniform illumination with 85％ uniformity and rectangular uniform illumination with 75％ uniformity, established the 3D model of the freeform lens, and conducted the ray tracing based on TracePro. The simulation results meet the corresponding standard, which validates the design.%LED自身的发光特点限制了其在照明领域的应用,如何合理分配LED的能量,在目标面上形成理想的照度是一个值得研究的问题.就不同应用场合下如何进行光学设计进行分析,通过采用非成像光学设计中光学扩展度守恒方法得到透镜的方程,分别实现圆形均匀照明和矩形均匀照明,其中圆形照明面照度均匀性达到85%,矩形照明面照度均匀性达到75%,并建立了自由曲面透镜三维模型,结合Tracepro进行光线追迹.仿真结果表明:提出的方法满足相应的照明标准,验证了理论设计的合理性.
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