• Photonics Research
  • Vol. 3, Issue 4, 133 (2015)
[in Chinese]1, [in Chinese]1, [in Chinese]1, [in Chinese]1, [in Chinese]1、*, [in Chinese]1, [in Chinese]2, and [in Chinese]1
Author Affiliations
  • 1National Laboratory of Solid State Microstructures, Collaborative Innovation Center of Advanced Microstructures and College of Engineering and Applied Sciences, Nanjing University, Nanjing 210093, China
  • 2Center for Display Research, Department of Electronic and Computer Engineering, Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China
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    DOI: 10.1364/PRJ.3.000133 Cite this Article Set citation alerts
    [in Chinese], [in Chinese], [in Chinese], [in Chinese], [in Chinese], [in Chinese], [in Chinese], [in Chinese]. Arbitrary and reconfigurable optical vortex generation: a high-efficiency technique using director-varying liquid crystal fork gratings[J]. Photonics Research, 2015, 3(4): 133 Copy Citation Text show less

    Abstract

    A high-efficiency technique for optical vortex (OV) generation is proposed and demonstrated. The technique is based on liquid crystal fork gratings with space-variant azimuthal orientations, which are locally controlled via polarization-sensitive alignment layers. Thanks to the optical rewritability of the alignment agent and the dynamic image generation of the digital micro-mirror device, fork gratings can be instantly and arbitrarily reconfigured. Corresponding optical vortices carrying arbitrary azimuthal and radial indices are demonstrated with a conversion efficiency of 98.5%, exhibiting features of polarization control and electrical switching. The technique may pave a bright road toward OV generation, manipulation, and detection.
    Φ(x,y)=12mϕ(x,y)πx/Λ+Φ0.(1)

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    Φ(x,y)=12mϕ(x,y)πx/Λ+Φ0+π2θ[Lp|m|(2r2/w02)],(2)

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    J(x,y)=R(Φ)·[exp(iΓ/2)00exp(iΓ/2)]·R(Φ)=cosζIisinζ[cos2Φ(x,y)sin2Φ(x,y)sin2Φ(x,y)cos2Φ(x,y)].(3)

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    D(x,y)=J(x,y)Ein(x,y)=cosζ·χ(±)isinζ·exp{±im·ϕ(x,y)i2πx/Λ±iπθ[Lp|m|(2r2/w02)]}·χ().(4)

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    Dn=1Λ0ΛD(x,y)ei2πnx/Λdx=cosζδnχ(±)isinζδn±1exp{±im·ϕ(x,y)±iπθ[Lp|m|(2r2/w02)]}χ().(5)

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    η0=cos2ζ,(6)

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    η±1=|χ()|Ψ|2sin2ζ,(7)

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    ηn=0(n0,±1),(8)

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    [in Chinese], [in Chinese], [in Chinese], [in Chinese], [in Chinese], [in Chinese], [in Chinese], [in Chinese]. Arbitrary and reconfigurable optical vortex generation: a high-efficiency technique using director-varying liquid crystal fork gratings[J]. Photonics Research, 2015, 3(4): 133
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