• Acta Photonica Sinica
  • Vol. 50, Issue 7, 182 (2021)
Qian LIU and Jianqi SHEN
Author Affiliations
  • College of Science, University of Shanghai for Science and Technology, Shanghai200093, China
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    DOI: 10.3788/gzxb20215007.0729002 Cite this Article
    Qian LIU, Jianqi SHEN. Effect of Resonant Scattering on Photonic Jet of a Microsphere[J]. Acta Photonica Sinica, 2021, 50(7): 182 Copy Citation Text show less

    Abstract

    The relationship between the characteristic parameters of photon jet and those of particles is studied, including the mechanism in the generation of photon jet under different polarization modes of resonant and non-resonant scattering. The dependence of the photonic jet characteristic parameters on the refractive index and particle parameters is numerically analyzed with the Lorenz-Mie theory calculation. The effect of resonant scattering on the photonic jet is studied, showing the contribution from the resonant partial wave. Besides, a comparison is made for the photonic jets in linearly- and circularly-polarized irradiations. The results show that resonant scattering affects the photonic jet by narrowing its transverse width, shifting the focus inward to the particle surface, shortening the longitudinal length, enhancing the intensity at the focus and making the field distribution more complex. The relative intensity of the radial and transverse components of the electric field is different under TE and TM resonances. The polarization state of the incident light affects the transverse distribution of the photonic jet only. By controlling the parameters of incident light and particles, the characteristic parameters and the field distribution of the photonic jet can be modulated. The study provides theoretical reference for the applications of photonic jet.
    Einc=exexpik2z-iωt(1)

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    Einc=eEexpik2z-iωt(2)

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                         Einc=1ρ2cnpw-fϕρ2inn+1ψnρ2sinθπnθer+fϕψnρ2πnθ-iψn'ρ2τnθeθ-                                 gϕψnρ2τnθ-iψn'ρ2πnθeϕ(3)

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            Esca=1ρ2n=1cnpwfϕρ2inn+1anξn1ρ2sinθπnθer-fϕbnξn1ρ2πnθ-ianξn1'ρ2τnθeθ+                         gϕbnξn1ρ2τnθ-ianξn1'ρ2πnθeϕ(4)

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                Eint=1ρ1n=1cnpw-fϕρ1inn+1cnψnρ1sinθπnθer+fϕdnψnρ1πnθ-icnψn'ρ1τnθeθ-                       gϕdnψnρ1τnθ-icnψn'ρ1πnθeϕ(5)

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    fϕ=pxcosϕ+pysinϕgϕ=pxsinϕ-pycosϕ(6)

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    an=ψn'yψnx-mμψnyψn'xψn'yξn1x-mμψnyξn1'xbn=ψnyψn'x-mμψn'yψnxψnyξn1'x-mμψn'yξn1xcn=mψn'xξn1x-ψnxξn1'xψn'yξn1x-mμψnyξn1'xdn=mψnxξn1'x-ψn'xξn1xψnyξn1'x-mμψn'yξn1x(7)

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    an=tanαn/tanαn-i=1-e-2iαn/2bn=tanβn/tanβn-i=1-e-2iβn/2(8)

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    tanαn=-mμψn'xψny-ψnxψn'ymμχn'xψny-χnxψn'ytanβn=-ψn'xψny-mμψnxψn'yχn'xψny-mμχnxψn'y(9)

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    mxn,l=ν+αlν/21/3-Pm2-1-1/2+0.189αl2ν-1/3-2-1/3Pm2-2P2/3m2-1-3/2(10)

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    Qian LIU, Jianqi SHEN. Effect of Resonant Scattering on Photonic Jet of a Microsphere[J]. Acta Photonica Sinica, 2021, 50(7): 182
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