圆形LED阵列的光斑发散特性研究

Divergence characteristics of light spot of a circular LED array

为了获得圆形发光二极管(LED)阵列的光斑发散特性,利用单个LED芯片的照度公式推导出圆形LED阵列的照度公式、光斑半径和发散角公式。采用数值计算方法对圆形LED阵列光斑的发散角随m值、随阵列半径以及随目标距离的变化规律进行了理论分析,取得了这3种情况下光斑发散角的变化数据。结果表明,光斑发散角随m值的增加而减小,随阵列半径增加而减小,随目标距离的增加而增大。这一结果对利用圆形LED阵列来实现照明设计是有帮助的。

In order to obtain divergence feature of light spot of a circular light emitting diode（ LED） array,illumination formula,and light spot radius formula and divergence angle formula of a circular LED array were deduced by using single LED illumination formula. The dependence of the divergence angle of a circular LED array on the m value,array radius and target distance were analyzed theoretically by using numerical methods. The change data of divergence angle under three conditions were obtained. The results show that the divergence angle decreases with the increase of m value and array radius. However,the divergence angle increases with the increase of target distance. The results are helpful for the illumination source design with circular LED arrays.