LIU Qin.Light Spot Characteristics of Curved LED Rectangular Array[J].Journal of Chongqing Technology and Business University(Natural Science Edition）,2020,37(6):120-126

Light Spot Characteristics of Curved LED Rectangular Array

DOI：

 作者 单位 刘沁 重庆工商大学 艺术学院，重庆 400067

引入弯曲度的概念建立了弯曲LED矩形阵列的模型，利用非相干光的叠加原理推导出计算弯曲LED矩形阵列的光斑半径公式、发散角公式和照度公式。研究了弯曲度对照度峰值、光斑半径、发散角的影响；通过计算得出：当弯曲度为0时照度峰值为158.3 lx，随着弯曲度的增加照度峰值逐渐增大，当弯曲度增加到0.25时照度峰值增加为168.74 lx；当弯曲度为0时,光斑半径为1.847 m，随着弯曲度的增加光斑半径逐渐减小，当弯曲度增加到0.25时光斑半径减小为1.775 m；当弯曲度为0时发散角为19°，随着弯曲度的增加发散角逐渐减小，当弯曲度增加到0.25时发散角减小为18°；计算结果表明阵列面的弯曲对照度、光斑半径、发散角都有明显的汇聚作用；结果的获得在理论上和方法上为利用弯曲LED矩形阵列来实现照明设计提供依据，弥补了之前在研究LED阵列中阵列面仅限于平面的不足。

The concept of bending degree is introduced to establish the model of curved LED rectangular array,the divergence angle formula of the curved LED rectangular array、the illumination formula and the illumination formula are derived from the superposition principle of incoherent light.The influence of curvature on peak illuminance, spot radius and divergence angle is studied.By calculation,when the curvature is 0, the peak illumination is 158.3lx.As the curvature increases, the peak value of the illuminance gradually increases.When the curvature increases to 0.25, the peak illumination increases to 168.74lx.When the curvature is 0, the spot radius is 1.847 m. With the increase of the curvature, the spot radius gradually decreases.When the curvature increases to 0.25, the spot radius decreases to 1.775m;When the bending degree is 0, the divergence angle is 19°and decreases with the increase of the bending degree.When the curvature increases to 0.25, the divergence angle decreases to 18°.The results show that the curvature of the array surface has obvious convergence effect on illumination, spot radius and divergence angle.These results provide a theoretical and methodological basis for lighting design with bent LED rectangular array,It makes up for the deficiency that the array surface is limited to a plane on LED array in the past research.