• Acta Photonica Sinica
  • Vol. 50, Issue 3, 96 (2021)
Jun PI, Hui LU, Tao JIANG, Yuzhou ZHANG, Guang YANG, and Zhihuang SHEN
Author Affiliations
  • College of Mechanical and Energy Engineering, Jimei University, Xiamen, Fujian361021, China
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    DOI: 10.3788/gzxb20215003.0308001 Cite this Article
    Jun PI, Hui LU, Tao JIANG, Yuzhou ZHANG, Guang YANG, Zhihuang SHEN. Influence of Geometry Structure of Microstructure on Reflective Characteristics of the Micro-prism Film in the Nonplanar State[J]. Acta Photonica Sinica, 2021, 50(3): 96 Copy Citation Text show less

    Abstract

    In order to study the changing rules of the reflective characteristics of the reflective film in a curved state, the mapping relationship between the dihedral angle of the reflective surface of the curved Cube Corner Reflector (CCR) and the bending angle is established based on the principle of volume invariance. The reflection theory analyzes the reflection characteristics of a single curved CCR and a curved reflective film, and obtains the axis-symmetric distribution of the light rays emitted by the single curved CCR and the maximum theoretical effective bending angle of the curved reflective film is 70.52°. Finally, using ray tracing software to simulate a single curved CCR and curved reflective film, the results show that the diffraction pattern of a single curved CCR and curved reflective film is axisymmetrically distributed when light is normally incident; the diffraction pattern of a single curved CCR and curved reflective film is axisymmetrically distributed; the maximum effective bending angle of the curved reflective film decreases with the increase of the bending angle, a decrease of 0.7%, and the deviation between the value and the theoretical value is small; when the bending angle is greater than 20°, the reflectivity of the convex reflective film is increased by 20% compared with the concave reflective film. At the same time, the experimental measurement results prove the correctness of the theoretical analysis.
    x,y,zT=P·x1,y1,z1T+Pc(1)

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    P=33-22-663322-6633063()

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    Δ=A1DsinADA1=2Rsin2φ4(2)

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    SABEF=SA1B1E1F1(3)

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    y=ax2+bx+c(4)

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    y'=2ax+b(5)

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    y1'=2a1x+b1(6)

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    a1=2lC-D+4FD-C-2E2C-lC-D2Cl+2Dl-l2-4CDb1=C-D2l2+8DC-8FD-8FC-2E4C2-l2C-Dl2-2Cl-2Dl+4CD()

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    y2'=2a2x+b2(7)

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    a2=22F-lC-D+2E2C-l4D-CDC-FD-FC+F2-2EC-F22D-E-2C-2Db2=22DC+2F2-Cl-DlC-D+22DE2C-l-E22C-l4C-DDC-FD-FC+F2-2EC-F-22D+E+2C+2D()

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    y2'=2a2x+b2(8)

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    a3=24C2D-l+46lD-C+3Eφ2C-l12C-D4CD-2lD-2lC+l2b3=24C4D2-l2+86lD2-C2+3Eφ4C2-l224D-C4CD-2lD-2lC+l2()

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    k=-l-zO1xO1(9)

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    C=-2l23R+rφ+l3()

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    θ=arctank2-k11+k1k2(10)

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    θ12=arctany2'-y1'1+y1'y2'(11)

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    θ13=θ23=arctanz1'-k1+z1'k(12)

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    A1=-1-2δ12-2δ13α+2δ12-1-2δ23β+2δ23+2δ13-1γA2=-1-2δ12-2δ13α+2δ12-1+2δ23β+-2δ23+2δ13-1γA3=-1-2δ12+2δ13α+2δ12-1+2δ23β+-2δ23-2δ13-1γA4=-1+2δ12+2δ13α+-2δ12-1+2δ23β+-2δ23-2δ13-1γA5=-1+2δ12+2δ13α+-2δ12-1-2δ23β+2δ23-2δ13-1γA6=-1+2δ12-2δ13α+-2δ12-1+2δ23β+2δ23+2δ13-1γ(13)

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    ϕjsinA0,Aj=A0×AjA0·Aj(14)

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    ϕ1=22δ13+δ12+δ232+2δ23+δ13-δ122+2δ12+δ13-δ2323ϕ2=22δ13+δ12-δ232+2δ23+δ12-δ132+2δ12+δ13+δ2323ϕ3=22δ13+δ23-δ122+2δ23+δ12+δ132+2δ12+δ23-δ1323ϕ4=22δ13+δ12+δ232+2δ23+δ13-δ122+2δ12+δ13-δ2323ϕ5=22δ13+δ12-δ232+2δ23+δ12-δ132+2δ12+δ13+δ2323ϕ6=22δ13+δ23-δ122+2δ23+δ12+δ132+2δ12+δ23-δ1323(15)

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    A'=A-2NA·N(16)

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    κnsinAn,An'=An×An'An·An'(17)

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    S=3cos2i-223cos2i(18)

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    S=4cos2i272-tan i4(19)

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    iqi1+q-1ψ2N-1(20)

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    Jun PI, Hui LU, Tao JIANG, Yuzhou ZHANG, Guang YANG, Zhihuang SHEN. Influence of Geometry Structure of Microstructure on Reflective Characteristics of the Micro-prism Film in the Nonplanar State[J]. Acta Photonica Sinica, 2021, 50(3): 96
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