• Infrared and Laser Engineering
  • Vol. 51, Issue 5, 20210315 (2022)
Zhiyong Yang, Junchen Song*, Wei Cai, Gaoxiang Lu, and Lina Luo
Author Affiliations
  • Armament Launch Theory and Technology Key Discipline Laboratory of PRC, Rocket Force University of Engineering, Xi′an 710025, China
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    DOI: 10.3788/IRLA20210315 Cite this Article
    Zhiyong Yang, Junchen Song, Wei Cai, Gaoxiang Lu, Lina Luo. Analysis of polarization-maintaining fibers in non-line-of-sight azimuth transmission system[J]. Infrared and Laser Engineering, 2022, 51(5): 20210315 Copy Citation Text show less

    Abstract

    According to the design requirements of the birefringence of polarization-maintaining fiber in the non-line-of-sight azimuth transmission system, the influence of different types of polarization-maintaining fiber parameters on the birefringence is emphatically analyzed. Firstly, the stress-optical coupling relationship of polarization-maintaining fiber was deduced based on the stress-strain, variational principle and the stress-photoelastic effect. Then, the influence of different factors on the birefringence of polarization-maintaining fiber was investigated by means of finite element analysis software, and two kinds of polarization-maintaining fiber (Panda polarization-maintaining fiber and Bow-tie polarization-maintaining fiber) were compared and analyzed. The results show that the higher birefringence value near the center of the core can be obtained by a variety of methods, such as reducing the distance between the core and the stress zone, increasing cladding radius when fixing core size, or increasing the reference temperature of the polarization-maintaining fiber. Simultaneously, the birefringence of the bow-tie polarization-maintaining fiber is larger in the same conditions. The research results can provide some reference for the design and selection of polarization-maintaining fiber in the non-line-of-sight azimuth transmission system.
    $F = \frac{{\rm{1}}}{{\rm{2}}}\iint_\Omega {{{{\varepsilon}} ^ * }} \cdot {{T}}{\rm{d}}x{\rm{d}}y$(1)

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    ${{T}} = [c]\left( {{{\varepsilon}} - {{{\varepsilon}} _{{0}}}} \right)$(2)

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    ${\boldsymbol{\varepsilon}} = {\nabla _\varepsilon }{{u}}$(3)

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    $F = \frac{1}{2}\iint_\varOmega {{{\left( {{\nabla _\varepsilon }{{u}}} \right)}^ * }} \cdot \left[ c \right]\left( {{\nabla _\varepsilon }{{u}} - {{{\varepsilon}} _0}} \right){\rm{d}}\varOmega $(4)

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    ${{u}} = {\left[ N \right]^{\rm{T}}}{\left\{ {{u}} \right\}_e}$(5)

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    $\left[ K \right]\left\{ {{u}} \right\} = \left\{ {{f}} \right\}$(6)

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    ${{T}} = \left[ c \right]\left( {{{\left[ B \right]}^{\rm{T}}}{{\left\{ {{u}} \right\}}_e} - {{\bf{\varepsilon}} _0}} \right)$(7)

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    $\Delta {n_{ij}} = {B_{ijkl}} \cdot {S_{kl}}$(8)

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    $\left[ {\begin{array}{*{20}{c}} {\Delta {n_x}} \\ {\Delta {n_y}} \\ {\Delta {n_{\textit{z}}}} \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {\begin{array}{*{20}{c}} {{B_2}}&{{B_1}}&{{B_1}} \end{array}} \\ {\begin{array}{*{20}{c}} {{B_1}}&{{B_2}}&{{B_1}} \end{array}} \\ {\begin{array}{*{20}{c}} {{B_1}}&{{B_1}}&{{B_2}} \end{array}} \end{array}} \right]\left[ {\begin{array}{*{20}{c}} {{S_x}} \\ {{S_y}} \\ {{S_{\textit{z}}}} \end{array}} \right]$(9)

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    $\begin{array}{*{20}{c}} {{n_x} = {n_0} + {B_2}{S_x}{\rm{ + }}{B_{\rm{1}}}\left( {{S_y} + {S_{\textit{z}}}} \right)} \\ {{n_y} = {n_0} + {B_2}{S_y}{\rm{ + }}{B_{\rm{1}}}\left( {{S_x} + {S_{\textit{z}}}} \right)} \\ {{n_{\textit{z}}} = {n_0} + {B_2}{S_{\textit{z}}}{\rm{ + }}{B_{\rm{1}}}\left( {{S_x} + {S_y}} \right)} \end{array}$(10)

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    $\begin{split} \\ \begin{array}{*{20}{c}} {{n_x} - {n_y} = c\left( {{S_x} - {S_y}} \right)} \\ {{n_y} - {n_{\textit{z}}} = c\left( {{S_y} - {S_{\textit{z}}}} \right)} \\ {{n_{\textit{z}}} - {n_x} = c\left( {{S_{\textit{z}}} - {S_y}} \right)} \end{array} \end{split}$(11)

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    Zhiyong Yang, Junchen Song, Wei Cai, Gaoxiang Lu, Lina Luo. Analysis of polarization-maintaining fibers in non-line-of-sight azimuth transmission system[J]. Infrared and Laser Engineering, 2022, 51(5): 20210315
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