在用于自由立体显示的柱面透镜光栅的设计中,针对用理想光学系统思想计算的数据不够精确,用光学软件计算的数据往往不符合实际要求且需反复尝试,提出用光线追迹建立数学模型的方法设计柱面透镜光栅参数。将观看距离、柱面透镜光栅离显示屏距离以及柱面透镜光栅的焦斑大小共同作为参数设计的依据。分析了柱面透镜曲率半径和焦斑大小,以及柱面透镜厚度和焦斑大小的变化关系。采用该方法为19 inch (48.26 cm)平面显示屏设计了一组柱面透镜光栅参数,并用光学设计软件ASAP模拟了该系统的视区分布。结果表明该柱面透镜光栅的视区分布比较理想,宽度为65 mm,满足高性能自由立体显示的要求。

In the parameter design of lenticular lens used for auto-stereoscopic display system,because the parameters calculated by using ideal optical system are imprecise and the parameters calculated by using optical software are unpractical or complex,a mathematic model based on rays tracing is proposed. The viewing distance,the distance from the display to the lenticular lens and the size of focus spot are taken as the basis for parameter design. The relationship between the radius and the size of focus spot,and the relationship between the thickness and the size of focus spot are analyzed. The parameters of lenticular lens for a 19 inch (48.26 cm) flat display are designed and the viewing zone distribution is simulated by the optical design software called ASAP. Good viewing zone distribution is obtained and its width is 65 mm,which satisfies the requirements for the auto-stereoscopic display having good performances.