Abstract: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.