Abstract: Based on geometrical optics and irradiance theory, the illumination distributions of the rhombus, circular ring and honeycomb LED arrays under uniform near field lighting were analyzed. Formulae for calculating total irradiance to target surface of different array light sources were deduced. According to Sparrow's criterion, the optimal distance between LED arrays was determined. Moreover,based on the illumination formulae presented in this paper, three LED arrays were simulated and comparatively analyzed, and the different illuminance distribution characteristics of the LED arrays were received. The rhombus array can obtain a wide range of flatness; The flat range of circular ring array is small, and the energy is concentrated in a circular range, which can collect the light effectively; The flat range of honeycomb array is small and the light occupies small panel space, which can reduce the design costs to a certain extent.