• Photonics Research
  • Vol. 4, Issue 2, 0065 (2016)
Yang Yang1、2, Zhe Shi1, Jiafang Li1、*, and Zhi-Yuan Li1
Author Affiliations
  • 1Laboratory of Optical Physics, Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijng 100190, China
  • 2Key Laboratory of Micro-Nano Measurement-Manipulation and Physics (Ministry of Education), Beihang University, Beijing 100191, China
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    DOI: 10.1364/prj.4.000065 Cite this Article Set citation alerts
    Yang Yang, Zhe Shi, Jiafang Li, Zhi-Yuan Li. Optical forces exerted on a graphene-coated dielectric particle by a focused Gaussian beam[J]. Photonics Research, 2016, 4(2): 0065 Copy Citation Text show less

    Abstract

    In this paper, we derive the analytical expression for the multipole expansion coefficients of scattering and interior fields of a graphene-coated dielectric particle under the illumination of an arbitrary optical beam. By using this arbitrary beam theory, we systematically investigate the optical forces exerted on the graphene-coated particle by a focused Gaussian beam. Via tuning the chemical potential of the graphene, the optical force spectra could be modulated accordingly at resonant excitation. The hybridized whispering gallery mode of the electromagnetic field inside the graphene-coated polystyrene particle is more intensively localized than the pure polystyreneparticle, which leads to a weakened morphology-dependent resonance in the optical forces. These investigations could open new perspectives for dynamic engineering of optical manipulations in optical tweezers applications.61475186, and 11434017).
    ΠE(i)=l=1m=llAlmψl(k1r)Ylm(θ,ϕ),ΠH(i)=l=1m=llBlmψl(k1r)Ylm(θ,ϕ),(1)

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    ΠE(s)=l=1m=llalAlmξl(1)(k1r)Ylm(θ,ϕ),ΠH(s)=l=1m=llblBlmξl(1)(k1r)Ylm(θ,ϕ),(2)

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    ΠE(w)=l=1m=llclAlmψl(k2r)Ylm(θ,ϕ),ΠH(w)=l=1m=lldlBlmψl(k2r)Ylm(θ,ϕ).(3)

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    Ylm(θ,ϕ)=[2l+14π(lm)!(l+m)!]1/2Plm(cosθ)exp(imϕ).(4)

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    Alm=1l(l+1)ψl(α2)02π0πEr(i)(R,θ,ϕ)Ylm*(θ,ϕ)sinθdθdϕ,Blm=1l(l+1)ψl(α2)02π0πHr(i)(R,θ,ϕ)Ylm*(θ,ϕ)sinθdθdϕ,(5)

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    2Π+k2Π=0.(6)

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    er×(Ei+EsEw)=0er×(Hi+HsHw)=K=σ(ω)E,(7)

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    σ(ω)=σintra(ω)+σinter(ω).(8)

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    σintra(ω)=i2e2kBTπ2(ω+iτG1)ln[2cosh(Ef2kbT)],(9)

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    σinter(ω)=e24[12+1πarctan(ω2Ef2kBT)i2πln(ω+2Ef)2(ω2Ef)2+4kb2T2],(10)

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    al=[n˜ψl(α1)ψl(α2)ψl(α2)ψl(α1)+(1/n2)σ(ω)·ψl(α1)ψl(α2)]/[n˜ψl(α1)ξl(α2)ξl(1)(α2)ψl(α1)+(1/n2)σ(ω)·ψl(α1)ξl(α2)],(11)

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    bl=[n˜ψl(α1)ψl(α2)ψl(α1)ψl(α2)+(1/n2)σ(ω)·ψl(α1)ψl(α2)]/[n˜ψl(α1)ξl(α2)ψl(α1)ξl(1)(α2)+(1/n2)σ(ω)·ψl(α1)ξl(α2)],(12)

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    cl=n˜[ψl(α2)ξl(α2)ψl(α2)ξl(1)(α2)]/[n˜ψl(α1)ξl(α2)ξl(1)(α2)ψl(α1)+(1/n2)σ(ω)·ψl(α1)ξl(α2)],(13)

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    dl=[ψl(α2)ξl(α2)ψl(α2)ξl(1)(α2)]/[n˜ψl(α1)ξl(α2)ψl(α1)ξl(1)(α2)+(1/n2)σ(ω)·ψl(α1)ξl(α2)].(14)

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    Yang Yang, Zhe Shi, Jiafang Li, Zhi-Yuan Li. Optical forces exerted on a graphene-coated dielectric particle by a focused Gaussian beam[J]. Photonics Research, 2016, 4(2): 0065
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