• Advanced Photonics Nexus
  • Vol. 3, Issue 3, 036001 (2024)
Chenliang Chang1, Xian Ding1, Di Wang2, Zhizhou Ren1, Bo Dai1, Qi Wang1, Songlin Zhuang1, and Dawei Zhang1、*
Author Affiliations
  • 1University of Shanghai for Science and Technology, School of Optical-Electrical and Computer Engineering, Engineering Research Center of Optical Instrument and System, Ministry of Education and Shanghai Key Laboratory of Modern Optics System, Shanghai, China
  • 2Beihang University, School of Instrumentation and Optoelectronic Engineering, Beijing, China
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    DOI: 10.1117/1.APN.3.3.036001 Cite this Article Set citation alerts
    Chenliang Chang, Xian Ding, Di Wang, Zhizhou Ren, Bo Dai, Qi Wang, Songlin Zhuang, Dawei Zhang. Split Lohmann computer holography: fast generation of 3D hologram in single-step diffraction calculation[J]. Advanced Photonics Nexus, 2024, 3(3): 036001 Copy Citation Text show less

    Abstract

    Holographic display stands as a prominent approach for achieving lifelike three-dimensional (3D) reproductions with continuous depth sensation. However, the generation of a computer-generated hologram (CGH) always relies on the repetitive computation of diffraction propagation from point-cloud or multiple depth-sliced planar images, which inevitably leads to an increase in computational complexity, making real-time CGH generation impractical. Here, we report a new CGH generation algorithm capable of rapidly synthesizing a 3D hologram in only one-step backward propagation calculation in a novel split Lohmann lens-based diffraction model. By introducing an extra predesigned virtual digital phase modulation of multifocal split Lohmann lens in such a diffraction model, the generated CGH appears to reconstruct 3D scenes with accurate accommodation abilities across the display contents. Compared with the conventional layer-based method, the computation speed of the proposed method is independent of the quantized layer numbers, and therefore can achieve real-time computation speed with a very dense of depth sampling. Both simulation and experimental results validate the proposed method.
    ei2πλ[h1(x)+h2(x)],

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    ei2πλ[h1(x+Δ/2)+h2(xΔ/2)]=ei2πλ[(x+Δ/2)3(xΔ/2)3c0]=ei2πλ(3Δx2c0+Δ34c0).

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    z=f02ft=6Δf02c0.

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    H(u,v)=ei6πΔ(u2+v2)λc0·ei6πΔ2(u+v)λc0·A(x,y)·eiφ(x,y)·ei2πλf0(ux+vy)dxdy,

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    H(u,v)=ei2π(u3+v3)λc0·FFT{ei2π(x2+y2)·v(x2,y2)λ·FFT{ei2π(x13+y13)λc0·FFT[A(x,y)·eiφ(x,y)]}},

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    v0=Δf0=z0c06f03.

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    v(x,y)=z(x,y)c06f03.

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    ei2π(x2+y2)·v(x2,y2)λ=ei2πc0(x2+y2)·z(x2,y2)12λf03.

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    δx=δy=3v02f03c0=z02c012f03,

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    v0λ22δramp=vmax.

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    z12vmaxf03c0.

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    I(x,y)=|FFT[H(u,v)]|2,

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    I(x,y)=|eiπλz(x2+y2)·FFT[H(u,v)·eiπλz(u2+v2)]|2=|eiπλz(x2+y2)·FFT[H(u,v)·eiπλz(u2+v2)·eiπλz(u2+v2)]|2=|eiπλz(x2+y2)·FFT[H(u,v)]|2=|FFT[H(u,v)]|2.

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    Chenliang Chang, Xian Ding, Di Wang, Zhizhou Ren, Bo Dai, Qi Wang, Songlin Zhuang, Dawei Zhang. Split Lohmann computer holography: fast generation of 3D hologram in single-step diffraction calculation[J]. Advanced Photonics Nexus, 2024, 3(3): 036001
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