摘要
本文根据计算全息再现成像原理,采用Gerchberg-Saxton(GS)算法对输入与输出平面光场分布进行正、逆傅立叶变换迭代求解,得到原始仿真图像在不同特征参数(线宽、圆环直径)和不同计算采样间隔下的相位分布,并仿真计算得到相应的再现图像。利用液晶空间光调制器搭建全息再现实验光路,通过加载不同原始仿真图像的相位分布图进行再现实验,采用相机拍摄得到远场衍射全息再现图像并进行图像处理得到再现图像的实际特征尺寸。实验结果表明:再现图像特征尺寸与原始仿真图像特征尺寸基本呈线性变化关系,再现图像尺寸与仿真计算采样间隔呈现非线性变化关系,且与理论推导的关系曲线一致。为了进一步验证结论的正确性,设计预期再现图像尺寸,当圆环直径为0.943 mm,中心十字线宽为0.015 mm时,仿真计算得到预期目标原始仿真图像的特征尺寸和采样间隔分别为线宽3 pixel、圆环直径594 pixel、采样间隔25μm。通过再现实验测量得到的全息再现图像圆环直径为0.93 mm,线宽为0.017 mm,误差精度在0.02 mm以内。本文研究结果对全息显示、AR/VR显示等应用场景下提高虚拟显示图像尺寸真实性提供了有益参考。
Based on the principle of computer-generated holograms reproduction imaging,this paper used the Gerchberg-Saxton(GS)algorithm to iteratively solve the phase distribution of the original simulation images under different characteristic parameters(line width,ring diameter)and different calculated sampling intervals by performing direct and inverse Fourier transforms on the optical field distributions of the input and output planes,and the corresponding reproduced images were obtained by simulation calculation.The optical path of the holographic reproduction experiment was constructed by using the liquid crystal spatial light modulator,and the reproduction experiment was carried out by loading the phase distribution maps of different original simulation images,the holographic reproduction images of far-field diffraction were taken by the camera,and the actual feature size of the reproduced images was obtained by image processing.The experimental results show that the feature size of the reproduced images is basically linear with the characteristic size of the original simulation images.Furthermore,the reproduction image size shows a non-linear change relationship with the sampling intervals of the simulation calculation,which is consistent with the derived theoretical calculation relationship curve.In order to further verify the correctness of the conclusion,when the size of the expected reproduced image is designed as the ring diameter of 0.943 mm and the line width of the central cross of 0.015 mm.The characteristic size and sampling interval of the original simulation image of the expected target are obtained by the simulation calculation as the line width of 3 pixel,the ring diameter of 594 pixel and the sampling interval of 25μm,respectively.The ring diameter and line width of the holographic reproduction image,as measured by the reproduction experiment,are 0.93 mm and 0.017 mm,respectively.The error accuracy is within 0.02 mm.The findings of this study provide an effective reference for application scenarios such as holographic display and AR/VR display to improve the authenticity of virtual display image size.
作者
雷俊阁
孙国斌
张锦
蒋世磊
胡驰
LEI Jun-ge;SUN Guo-bin;ZHANG Jin;JIANG Shi-lei;HU Chi(School of Opto-electronical Engineering,Xi′an Technological University,Xi’an 710021,China)
出处
《中国光学(中英文)》
北大核心
2025年第4期771-783,共13页
Chinese Optics
基金
陕西省科技厅自然科学基础研究计划项目(No.2024JC-YBMS-269)。
