计算全息图中位移频移特性的互异关系及其应用探讨DISCUSSION ON THE RELATIONSHIP BETWEEN DISPLACEMENT AND FREQUENCY SHIFTING CHARACTERISTICS IN COMPUTER-GENERATED HOLOGRAPHY AND ITS APPLICATIONS
林述锋,赵洁,戎路,王云新,王大勇
摘要(Abstract):
位移定理和频移定理不仅是信息光学中的一个重要知识点,也能对计算全息图的频谱和重建图像空间位置产生特定的调控作用。本文基于菲涅耳衍射详细探讨了计算全息中位移和频移特性在空域和频域上的互异关系,分析了它们的内在联系以及对全息图光场的影响。此外,通过二者的联合复用可以实现全息图频谱任意操纵而不影响重建图像的位置,有助于全息图衍射级次滤波以及实现频分复用等功能,不仅展示了基础概念在解决前沿研究问题中的实际应用,也能加深对位移和频移定理在衍射传播中的具象化理解。
关键词(KeyWords): 位移定理;频移定理;计算机生成全息图;全息显示
基金项目(Foundation): 国家自然科学基金(62275006,62220106005);; 北京工业大学一流本科课程建设立项——研究性教学示范类(光学);北京工业大学“课程思政”示范课程培育项目(光学,KC2021SZ022)
作者(Author): 林述锋,赵洁,戎路,王云新,王大勇
DOI: 10.27024/j.wlygc.2025.12.31.03
参考文献(References):
- [1] 曹益平,苏显渝.信息光学[M].3版,北京:科学出版社,2024.CAO Y P,SU X Y.Information Optics[M].3rd ed.Beijing:Science Press,2024.(in Chinese)
- [2] 黄金平,张正炳.卷积定理与傅里叶变换性质及其应用的关系探讨[J].长江大学学报(自科版),2016,13(19):29-31,41.HUANG J P,ZHANG Z B.Discussion on the relationship between convolution theorem and Fourier transform properties and their applications[J].Journal of Yangtze University (Natural Science Edition),2016,13(19):29-31,41.(in Chinese)
- [3] GABOR D.Holography,1948—1971[J].Science,1972,177(4046):299-313.
- [4] MADAN I,VANACORE G M,POMARICO E,et al.Holographic imaging of electromagnetic fields via Electron-light quantum Interference[J].Science Advances,2019,5(5):eaav8358.
- [5] JIN X,WANG D,ZHAO J,et al.Continuous-wave terahertz holographic diffraction tomography based on multiple scattering forward model[J].Optics and Lasers in Engineering,2023,160:107309.
- [6] JIN X,ZHAO J,WANG D,et al.Continuous-wave terahertz in-line holographic diffraction tomography with the scattering fields reconstructed by a physics-enhanced deep neural network[J].Photonics Research,2023,11(12):2149.
- [7] HU Y X,ZHAO R Y,HUANG Q,et al.Holographic 3D display method with low speckle noise based on fractional Fourier transform Algorithm[J].Optics and Lasers in Engineering,2024,178:108166.
- [8] LIU T,NING H,CAO H,et al.Radiance-field holography for high-quality 3D Reconstruction[J].Optics and Lasers in Engineering,2024,178:108189.
- [9] LIN S F,GENTET P,WANG D,et al.Simply structured full-color holographic three-dimensional display using angular-compensating holographic optical element[J].Optics and Lasers in Engineering,2021,138:106404.
- [10] WU T,MA J,WANG C,et al.Full-color see-through three-dimensional display method based on volume holography[J].Sensors,2021,21(8):2698.
- [11] SANDO Y,BARADA D,YATAGAI T.Holographic 3D display observable for multiple simultaneous viewers from all horizontal directions by using a time division method[J].Optics Letters,2014,39(19):5555.
- [12] WANG Y,YU X,WEI H,et al.Three-dimensional light field display for view density enhancement based on lenticular lens time-multiplexed stitching and views compression fitting Method[J].Optics and Lasers in Engineering,2024,172:107895.
- [13] CHEN J S,CHU D,SMITHWICK Q.Rapid hologram generation utilizing layer-based approach and graphic rendering for realistic three-dimensional image reconstruction by angular tiling[J].Journal of Electronic Imaging,2014,23(2):23016.
- [14] XU C,SHI Y,WAN S,et al.Omnidirectional angular-multiplexed meta-holography via arbitrary spatial rays[J].Laser Photonics Review,2025,19(24):e00765.
- [15] SHIMOBABA T,ITO T.A Color Holographic Reconstruction System by Time Division Multiplexing with Reference Lights of Laser[J].Optical Review,2003,10(5):339-341.
- [16] YOSHIDA S.High-speed full-color computer-generated holography using a digital micromirror device and fiber-coupled RGB laser diode[J].Applied Optics,2024,63:2455-2461.
- [17] LIU S J,WANG D,WANG Q H,Color Holographic Magnification System Using Spatial Light Modulators[J].SID Symposium Digest of Technical Papers,2016,47(1):1430-1432.
- [18] CAO A,PANG Y,DENG Q.Crosstalk-free multiplane full-color holography based on the space division method[J].Photonics,2024,11(3):230.
- [19] XUE G,LIU J,LI X,et al.Multiplexing encoding method for full-color dynamic 3D holographic display[J].Optics Express,2014,22(15):18473.
- [20] LIN S F,KIM E S.Single SLM Full-color holographic 3-D display based on sampling and selective frequency-filtering Methods[J].Optics Express,2017,25(10):11389.
- [21] KOZACKI T,CHLIPALA M.Color holographic display with white light LED source and single phase only SLM[J].Optics Express,2016,24(3):2189.
- [22] LIN S F,CAO H K,KIM E S.Single SLM full-color holographic three-dimensional video display based on image and frequency-shift multiplexing[J].Optics Express,2019,27(11):15926.