针对发光二极管(LED)天幕灯使用中的非对称大面积照明特点，提出了一种基于配光曲线的LED 天幕灯矢量设计方法。根据目标面的能量分布要求计算天幕灯总配光曲线，依据其中的反射配光曲线设计反射面。设计中应用光度学、几何光学、边缘光线原理及Matlab 软件中的龙格-库塔法，得出反射面各点坐标。通过Solidworks 软件构建反射面模型，应用Zemax 软件对其进行照明仿真，结果表明，照明均匀度达到设计要求，能量利用率超过80%，表明该设计方法具有实用价值。

Considering the properties of its asymmetric large- area illustration, a vector design approaching for LED cyclorama light is proposed to achieve the asymmetric uniform illumination on backdrop. The total distribution light curve is calculated on the basis of the required energy distribution of the target surface and the reflective surface is designed to follow the reflectivity of distribution light curve. Specifically, the coordinates of points on the reflecting surface are calculated by combining photometrics, geometrical optics, the edge- ray principle and the Runge-Kutta method in Matlab. Besides, an illustration simulation is performed in Zemax after modeling the reflective surface in Solidworks. The simulated results indicate that the illumination uniformity meets the design requirements as well as the energy efficiency is able to reach more than 80% , which show that the design is of great relevance to applications.