提出了一种LED阵列动态照明设计方法。首先, 选定LED阵列单元位置并对目标照度分布图样进行均匀采样, 建立LED阵列各单元的照度分布矩阵。然后, 构建和求解非负约束的最小二乘数学模型, 计算LED阵列各单元的非负权重分配, 使发光强度加权调制后的LED阵列在目标面内形成指定的照度分布图样。通过设计实例, 基于LED阵列分别在圆形区域和矩形区域内形成复杂的环形条纹照度分布和螺旋形照度分布图样, LED阵列仿真照度分布图样与目标照度图样之间的均方根(RMS)拟合误差小于20%, 最小RMS拟合误差小于10%。

A dynamic illumination design method based on LED array is proposed. First, the position of the LED array unit is selected and the target illumination distribution pattern is uniformly sampled. The illumination distribution matrix of each unit of the LED array is established. Then, the least square mathematical model of non-negative constraint is constructed and solved, and the non-negative weight distribution of each element of LED array is calculated. After applying the weights to the LED array, the LED array can approximate a specified illumination pattern within the target region. Based on the LED array, a series of examples are given to form complicated multiple-rings pattern and spiral pattern within the circular and rectangular target regions respectively. The root mean square (RMS) fitting error between the simulated illumination pattern and the target illumination pattern is less than 20% for all the designs, and the minimum RMS fitting error is less than 10%.