• Photonics Research
  • Vol. 5, Issue 6, 640 (2017)
Xu-Zhen Gao1, Yue Pan1, Guan-Lin Zhang1, Meng-Dan Zhao1, Zhi-Cheng Ren1, Chen-Ghou Tu1, Yong-Nan Li1、2, and Hui-Tian Wang1、3、*
Author Affiliations
  • 1School of Physics and Key Laboratory of Weak-Light Nonlinear Photonics, Nankai University, Tianjin 300071, China
  • 2e-mail: liyongnan@nankai.edu.cn
  • 3National Laboratory of Solid State Microstructures, School of Physics, and Collaborative Innovation Center of Advanced Microstructures, Nanjing University, Nanjing 210093, China
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    DOI: 10.1364/PRJ.5.000640 Cite this Article Set citation alerts
    Xu-Zhen Gao, Yue Pan, Guan-Lin Zhang, Meng-Dan Zhao, Zhi-Cheng Ren, Chen-Ghou Tu, Yong-Nan Li, Hui-Tian Wang. Redistributing the energy flow of tightly focused ellipticity-variant vector optical fields[J]. Photonics Research, 2017, 5(6): 640 Copy Citation Text show less

    Abstract

    The redistribution of the energy flow of tightly focused ellipticity-variant vector optical fields is presented. We theoretically design and experimentally generate this kind of ellipticity-variant vector optical field, and further explore the redistribution of the energy flow in the focal plane by designing different phase masks including fanlike phase masks and vortex phase masks on them. The flexibly controlled transverse energy flow rings of the tightly focused ellipticity-variant vector optical fields with and without phase masks can be used to transport multiple absorptive particles along certain paths, which may be widely applied in optical trapping and manipulation.
    S^(2ϕ,2α)=[sin(α+π/4)exp(jϕ)e^rcos(α+π/4)exp(jϕ)e^l]=[cosα(cosϕe^x+sinϕe^y)jsinα(sinϕe^x+cosϕe^y)],(1)

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    ϵ=sin(2α),(2)

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    ϵA=sin[δ(ϕ,r)π/2],(3)

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    ϵB=|sin[δ(ϕ,r)/2]|,(4)

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    E=cosαe^x+jsinαe^y=cos[sin1ϵ(x,y)2]e^x+jsin[sin1ϵ(x,y)2]e^y.(5)

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    E=0θm02πP(θ)MeK(ϕ,θ)sinθdϕdθ,(6)

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    Me=[(EρcosθcosϕEϕsinϕ)e^x(Eρcosθsinϕ+Eϕcosϕ)e^yEρsinθe^z],(7)

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    K(ϕ,θ)=ejk[zcosθ+rsinθcos(φϕ)],(8)

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    H=0θm02πP(θ)MmK(ϕ,θ)sinθdϕdθ,(9)

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    Mm=[(EρsinϕEϕcosθcosϕ)e^x(EρcosϕEϕcosθsinϕ)e^yEϕsinθe^z].(10)

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    PRe[E*×H]Im[(E*·)E]+12×Im(E*×E),(11)

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    Xu-Zhen Gao, Yue Pan, Guan-Lin Zhang, Meng-Dan Zhao, Zhi-Cheng Ren, Chen-Ghou Tu, Yong-Nan Li, Hui-Tian Wang. Redistributing the energy flow of tightly focused ellipticity-variant vector optical fields[J]. Photonics Research, 2017, 5(6): 640
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