• Photonics Insights
  • Vol. 2, Issue 4, R09 (2023)
Qiang Zhang1、†, Zehao He2, Zhenwei Xie1, Qiaofeng Tan2, Yunlong Sheng3, Guofan Jin2, Liangcai Cao2、*, and Xiaocong Yuan1、4、*
Author Affiliations
  • 1Nanophotonics Research Center, Institute of Microscale Optoelectronics & State Key Laboratory of Radio Frequency Heterogeneous Integration, Shenzhen University, Shenzhen, China
  • 2Department of Precision Instruments, Tsinghua University, Beijing, China
  • 3Center for Optics, Photonics and Lasers, Laval University, Quebec, Canada
  • 4Research Institute of Intelligent Sensing, Research Center for Humanoid Sensing,Zhejiang Lab, Hangzhou, China
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    DOI: 10.3788/PI.2023.R09 Cite this Article Set citation alerts
    Qiang Zhang, Zehao He, Zhenwei Xie, Qiaofeng Tan, Yunlong Sheng, Guofan Jin, Liangcai Cao, Xiaocong Yuan. Diffractive optical elements 75 years on: from micro-optics to metasurfaces[J]. Photonics Insights, 2023, 2(4): R09 Copy Citation Text show less

    Abstract

    Diffractive optical elements (DOEs) are intricately designed devices with the purpose of manipulating light fields by precisely modifying their wavefronts. The concept of DOEs has its origins dating back to 1948 when D. Gabor first introduced holography. Subsequently, researchers introduced binary optical elements (BOEs), including computer-generated holograms (CGHs), as a distinct category within the realm of DOEs. This was the first revolution in optical devices. The next major breakthrough in light field manipulation occurred during the early 21st century, marked by the advent of metamaterials and metasurfaces. Metasurfaces are particularly appealing due to their ultra-thin, ultra-compact properties and their capacity to exert precise control over virtually every aspect of light fields, including amplitude, phase, polarization, wavelength/frequency, angular momentum, etc. The advancement of light field manipulation with micro/nano-structures has also enabled various applications in fields such as information acquisition, transmission, storage, processing, and display. In this review, we cover the fundamental science, cutting-edge technologies, and wide-ranging applications associated with micro/nano-scale optical devices for regulating light fields. We also delve into the prevailing challenges in the pursuit of developing viable technology for real-world applications. Furthermore, we offer insights into potential future research trends and directions within the realm of light field manipulation.

    Story Video to the Review Article

    U˜(P)=AjλΣexp(jkl)lexp(jkr)r[cos(n,r)cos(n,l)2]dσ,

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    U˜(P)=Ajλz1Σexp(jkl)lexp(jkr)dσ.

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    I(x,y)=|O(x,y)|2+|R(x,y)|2+O(x,y)R*(x,y)+O*(x,y)R(x,y),

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    I(x,y)=C+2O0(x,y)R0(x,y)cos[ϕO(x,y)ϕR(x,y)],

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    I(x,y)=C+O(x,y)+O*(x,y).

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    F{I(x,y)}=Of(u,v)+Of*(u,v)+δ,

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    EP_DOE(x,y,0)=exp{jarg[U˜(x,y,0)]},

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    EC_DOE=Aexp[jψC]=0.5exp[j(ψC+ψA)]+0.5exp[j(ψCψA)],

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    ψA=arccosA,0A1,0ψπ2.

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    sin(θr)sin(θi)=λ02πnidΦdx,

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    ntsin(θt)nisin(θi)=λ02πdΦdx,

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    J=n×(H2H1),Ms=n×(E2E1).

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    T=2jωαeη02+jωαeη0.

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    M^=(cosθsinθsinθcosθ)(to00te)(cosθsinθsinθcosθ),

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    EL/Rt=M^EL/Ri=to+te2EL/Ri+tote2e±i2θER/Li.

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    2dpixsinθ0=mλ0/ng,

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    no=[nL+ηduty(nH2nL2)]1/2,

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    ne=[nL2+ηduty(nH2nL2)(nLnH)2]1/2.

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    I1=I0[A2cos2(θα1)+B2sin2(θα1)],

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    I1=I0sin2(θα1).

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    I2=I0[AB2cos(2θα2α1)+A+B2cos(α2α1)]2,

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    I2=I0(AB2)2cos2(2θ2α1π2),

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    Q=2πλdtndpix,

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    dpix=λ2sinθ,

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    η=EtargetEtotal.

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    η=|sin(π/NL)(π/NL)|2.

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    E(x,y)rect(xax,yay){Econ(x,y)pxpycomb(xpx,ypy)}dis,

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    μfill=(axay)(pxpy).

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    dpl=Nhλ0(n01),

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    ηm=sinc2(αNhm),

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    α=λ0λ[n(λ)1n01].

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    Δϕ(λ)=2πh1λ[n1(λ)1]2πh2λ[n2(λ)1],

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    N1×Δϕ(λ1)=N2×Δϕ(λ2)=N3×Δϕ(λ3)=N×2π,

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    Vref=nd1nCnF,

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    Vdif=λdλCλF,

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    C1Vref+C2Vdif=0,

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    n2sinθm=n1sinθi+mλ0/dpix,

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    θm=arcsin(λ0/ndpix).

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    Φm(r,θ)=ϕmk0f=γsinθ+1+(γl(θ)f)21+(l(θ)f)2,

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    Φm(r,θ)γsinθ+12γ2γl(θ)f.

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    ηvh=(sinξBragg2+νcouple2)21+(ξBragg2νcouple2)s.t.νcouple=πdvhΔnλcosθrcosθs,ξBragg=δdvh2cosθs,

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    Qiang Zhang, Zehao He, Zhenwei Xie, Qiaofeng Tan, Yunlong Sheng, Guofan Jin, Liangcai Cao, Xiaocong Yuan. Diffractive optical elements 75 years on: from micro-optics to metasurfaces[J]. Photonics Insights, 2023, 2(4): R09
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