基于几何光学与辐辐射照度理论，对满足均匀近场照明的半导体发光二极管(LED)二次曲线阵列进行分析，推导了光源照射到屏上的总辐射照度表达式。依据斯派罗法则，利用Matlab数值优化工具包对表达式计算，并结合TracePro软件对所设计的阵列进行光线追迹仿真。结果表明，与平面阵列相比，二次曲线阵列可以得到更大角度的光场分布。对两种特殊二次曲线的二维和三维阵列进行分析和模拟，使照明面上的均匀度得到优化。该方法为LED照明模组的设计提供了重要参考。

Based on geometrical optics and irradiance theory, a conic light-emitting diode array with uniform near-field lighting was analyzed. Formulas for calculating total irradiance from source to collecting screen was deduced. According to Sparrow′s criterion, the expression was calculated by using Matlab optimization toolbox. Furthermore, the software TracePro was used to simulate the designed array. The ray-tracing simulations showed that an array of light-emitting diodes assembled upon a conic surface can produce a wider angle distribution of light field than a flat array. The analysis and simulation of two-dimensional and three-dimensional of conic are carried out, and the uniformity of the illumination of the target is optimize. This method provided valuable reference to the LED lighting modules design.