设计了一种用于裸眼3D显示屏的低串扰新型双面柱透镜光栅板, 光栅板的入射面为等间距排列的与显示器子像素数量相同的凹形自由曲面光栅结构, 出射面为斜置的凸形自由曲面光栅结构.根据裸眼3D显示原理和几何光学原理推导了双面光栅板的光栅单元自由曲面设计公式和光栅参数计算公式.通过MATLAB编程计算和SolidWorks软件建模得到光栅板模型.用TracePro软件对所设计的光栅板模型进行光线追迹仿真, 结果表明: 参数优化后的6视点斜置柱透镜双面光栅3D显示在最佳视角的图像串扰度为0.068%, 与传统6视点斜置柱透镜光栅的最佳视角图像串扰度相比降低了2个数量级, 并且在观看距离2 000 mm~3 000 mm 范围内图像串扰度基本不变.

A novel lenticular screen of double-sided grating applied in low-crosstalk naked-eye 3D display is designed. Linear concave free-form gratings, with their number of grating lines equal to the number of horizontal sub-pixel on the screen display panel, are fabricated into the incident surface of the lenticular screen, and convex free-form slanted gratings are fabricated into the opposite surface. Design formulas for grating free-form surface and grating parameters are deduced based on the principles of naked-eye 3D display and geometrical optics. The grating parameters are calculated using MATLAB and grating model is established by modeling software Solidworks. The results show that the image crosstalk in 6-view naked-eye 3D displays, using double-sided lenticular screen, is 0.068% at the best viewing angle by selecting optimal parameters, which is lower than a conventional one by 2 orders of magnitude. The image crosstalk remains basically unchanged within the range of the viewing distance of 2 000 mm~3 000 mm.