Kamal Abd El-Hady, HalaAlda, JavierVázquez Molini, DanielBernabeu Martínez, Eusebio2023-06-202023-06-202004[1] Vázquez D, Bernabéu E: Array optical devices for natural lighting. Light Res. Technol. 29 (1997) 33–39. [2] Wang S, Ronchi L: Principles and design of optical arrays. In Wolf E (Ed.): Progress in Optics. 25 (1988) 279–347. [3] Wang S, Zhao D: Matrix optics. Springer-Verlag, Heidelberg 2000. [4] Alda J, Kamal H, Bernabéu E: Optimum design of optical arrays with spatial integration feature. Opt. Eng. 36 (1997) 2872–2877 [5] Kamal H: Design and properties of optical arrays. PhD dissertation, Universidad Complutense de Madrid, Spain 1998 [6] Kamal H: Optimization of the input surface of a thick-lens spatial-integrator array for maximum flux transfer efficiency. Optik 114 (2003) 213–216. [7] Kamal H, Vázquez D, Alda J: Optimum focal length range for thin-lenses optical arrays having spatial integration feature (submitted to Optical Engineering, 2004). [8] Vázquez D, Alda J, Bernabéu E: Planar optical array with a spatial integration feature. Appl. Opt. 38 (1999) 1133–1138.0030-402610.1078/0030-4026-00397https://hdl.handle.net/20.500.14352/51206© Elsevier Science Ltd. This work has been partially supported by the project TIC2001–1259 from the Ministerio de Ciencia y Tecnología of Spain.In this paper we analyze different alternatives in the design of optimized optical arrays having spatial integration feature in a plane arrangement. More specifically, we focus our attention in the evaluation of the number of useful individual units, and its contribution to the synthetic image characteristics. The analysis has been made by using matrix optics relations. Two examples of planar thin lens spatial integrator arrays are designed and compared.engjournal articlehttp://dx.doi.org/10.1078/0030-4026-00397http://www.sciencedirect.comopen access535Optical ArraysSpatial IntegratorsMatrix OpticsNatural LightingÓptica (Física)2209.19 Óptica Física