角谱法数值再现离轴菲涅耳数字全息成像的物理机制探讨  

STUDY OF THE PHYSICAL PRINCIPLE BASED ON ANGULAR SPECTRUM NUMERICAL RECONSTRUCTION OF OFF-AXIS FRESNEL DIGITAL HOLOGRAM

作　　者：赵洁[1] 王大勇[1] 王云新[1] 戎路[1] 李平雪[2] ZHAO Jie;WANG Dayong;WANG Yunxin;RONG Lu;LI Pingxue(College of Physics and Optoelectronics,Faculty of Science,Beijing University of Technology,Beijing 100124;Institute of Laser Engineering,Beijing University of Technology,Beijing 100124)

机构地区：[1]北京工业大学理学部物理与光电学院,北京100124 [2]北京工业大学激光工程研究院,北京100124

出　　处：《物理与工程》2021年第4期75-81,共7页Physics and Engineering

基　　金：北京工业大学研究性教学示范课程(光学)项目;国家自然科学基金(批准号:62075001、61675010);北京市教委科技重点项目(批准号:KZ202010005008)资助。

摘　　要：本文以离轴菲涅耳数字全息实验为基础,探讨了基于角谱衍射传播方法进行数字全息图重建的成像性能,重点挖掘数值计算背后的物理机理,帮助学生更好地理解所涉及的信息光学知识点。首先,介绍了离轴菲涅耳数字全息图常用两种再现方法的原理,分别是频域滤波方法和空域直接回传方法;然后,利用模拟实验分析了这两种方法在实现成像分辨率和视场方面的特征,把全息理论与仿真现象充分地联系起来,揭示隐藏在数值计算之后的光学原理。本文通过对数字全息图前向和后向传播获取再现像的对比分析,加深对傅里叶变换、衍射传播、频谱滤波等基本物理概念的理解和掌握。On basis of the off-axis Fresnel digital holography experiment,this paper discusses the imaging performance of digital hologram reconstruction based on angular spectrum diffraction propagation method,and focuses on the physical mechanism behind the numerical calculation to help students understand the optical knowledge involved better.Firstly,the principles of two common reconstruction algorithms of off-axis Fresnel digital hologram are introduced,which are the filtering in frequency-domain method and propagating in space-domain method respectively.Then,the characteristics of imaging resolution and view field of these two methods are analyzed by using simulation experiments.The holographic theory is fully connected with simulation phenomenon,and the optical principle hidden behind numerical calculation is revealed.In this paper,through the comparative analysis of the reconstructed image obtained by the forward and backward propagation of digital hologram,the basic physical concepts such as Fourier transform,diffraction propagation and spectrum filtering are deeply understood and mastered.

关 键 词：全息成像 数字全息 离轴菲涅耳光路 角谱衍射传播 频谱滤波 

分 类 号：O438.1[机械工程—光学工程]