• Chinese Optics Letters
  • Vol. 15, Issue 1, 012901 (2017)
Haopeng Wu1、2, Jiulin Shi1、2、*, Feng Yan1、2, Junjie Yang1、2, Yubao Zhang1、2, and Xingdao He1、2、**
Author Affiliations
  • 1Jiangxi Engineering Laboratory for Optoelectronics Testing Technology, Nanchang Hangkong University, Nanchang 330063, China
  • 2National Engineering Laboratory for Nondestructive testing and Optoelectric Sensing Technology and Application, Nanchang Hangkong University, Nanchang 330063, China
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    DOI: 10.3788/COL201715.012901 Cite this Article Set citation alerts
    Haopeng Wu, Jiulin Shi, Feng Yan, Junjie Yang, Yubao Zhang, Xingdao He. Static light scattering properties of a ZnO nanosphere aqueous suspension at visible and near-infrared wavelengths[J]. Chinese Optics Letters, 2017, 15(1): 012901 Copy Citation Text show less

    Abstract

    The scattering properties of ZnO nanospheres with four different particle diameters of 10, 50, 100, and 200 nm suspended in water are investigated theoretical and experimentally in the spectral range of the entire visible range and part of the near-infrared region. The scattering properties of ZnO nanospheres suspended in water are described by employing three main parameters: the angular distribution of the scattering intensity I, the scattering extinction coefficient αscat, and the scattering cross section σscat. The results indicate that (i) at a certain wavelength, the angular distribution of the scattering intensity appears as an obviously forward-propagating feature, and the forward-scattering intensity is dominant gradually when the particle diameter increases from 10 to 200 nm, and (ii) the scattering extinction coefficient and cross section can be determined by using the measured transmittance changes of a pure water sample and a given ZnO sample; they all are shown to be dependent on the particle size and incident wavelength. The experimental results of four different scattering samples agree well with the theoretical predictions within the given wavelength range.
    σscat=λ22πn=1(2n+1)(|an|2+|bn|2),(1)

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    I1=|n=12n+1n(n+1)[anπn(cosθ)+bnτn(cosθ)]|2,(2)

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    I2=|n=12n+1n(n+1)[anτn(cosθ)+bnπn(cosθ)]|2,(3)

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    I=I1+I22,(4)

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    πn(cosθ)=Pn(1)(cosθ)sinθ,(5)

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    τn(cosθ)=dPn(1)(cosθ)dθ.(6)

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    an=Ψn(α)Ψn(mα)mΨn(mα)Ψn(α)ζn(α)Ψn(mα)mΨn(mα)ζn(α),(7)

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    bn=mΨn(α)Ψn(mα)Ψn(mα)Ψn(α)mζn(α)Ψn(mα)Ψn(mα)ζn(α),(8)

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    α=2πrλ.(9)

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    Ψn(z)=(πz2)1/2Jn+1/2(z),Ψn(z)=Ψn(z)z,(10)

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    ζn(z)=Ψn(z)+iXn(z),ζn(z)=ζn(z)z,(11)

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    Xn(z)=(πz2)1/2Jn1/2(z),(12)

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    I(λ0,l)=I0(λ0)eα1(λ0)leα2(λ0)l,(13)

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    T(λ0)=I(λ0,l)I0(λ0)=eα1(λ0)leα2(λ0)l=T1(λ0)eα2(λ0)l.(14)

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    αscat(λ0)=α2(λ0)=1lln[T1(λ0)T(λ0)].(15)

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    αscat(λ0)=Nσscat(λ0),(16)

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    Haopeng Wu, Jiulin Shi, Feng Yan, Junjie Yang, Yubao Zhang, Xingdao He. Static light scattering properties of a ZnO nanosphere aqueous suspension at visible and near-infrared wavelengths[J]. Chinese Optics Letters, 2017, 15(1): 012901
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