• Acta Photonica Sinica
  • Vol. 49, Issue 8, 0814002 (2020)
Zhao-wen CAO1、2, Zi-wei XU1、2, and Kuai-sheng ZOU1、2
Author Affiliations
  • 1School of Optoelectronic Science and Engineering, Soochow University, Suzhou, Jiangsu 215006, China
  • 2Key Lab of Advanced Optical Manufacturing Technologies of Jinangsu Province & Key Lab of Modern Optical Technologies of Education Ministry of China, Soochow University, Suzhou, Jiangsu 215006, China
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    DOI: 10.3788/gzxb20204908.0814002 Cite this Article
    Zhao-wen CAO, Zi-wei XU, Kuai-sheng ZOU. Study on Beam Width Narrowing of Blue Structured Light in Long Distance[J]. Acta Photonica Sinica, 2020, 49(8): 0814002 Copy Citation Text show less

    Abstract

    A gradient-index lens with a diameter of 1.8 mm, a cylindrical lens with a diameter of 2.5 mm and a volume Bragg grating are designed and fabricated as an optical system for a commercial blue single-tube semiconductor laser with a fast axis full width at half maxima of 23°. The experimental results show that this scheme can achieve a beam width of 0.48 mm at a distance of 5.5 m from the system, and the beam width is less than 0.60 mm in 5.5±0.5 m nearly, which can provide a new solution for the selection of the measurement scheme of line structured light.
    $ {r_{\rm{p}}} = \sqrt {\frac{{{d_{\rm{s}}}^2{\rm{N}}{{\rm{A}}_{\rm{m}}}^2{a^2}}}{{{d_{\rm{s}}}^2{\rm{N}}{{\rm{A}}_{\rm{m}}}^2 + {a^2}}}} $ (1)

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    $ z = \frac{1}{{\sqrt A }}\arctan \left[ {\frac{1}{{n(0)\sqrt A {d_{\rm{s}}}}}} \right] + \frac{{s{\rm \pi} }}{{\sqrt A }},s = 0,1, \cdots $ (2)

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    $ {n^2}(r) = {n^2}(0)(1 - 0.115{r^2} + 0.013{r^4} + \cdots ) $ (3)

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    $ \mathit{\boldsymbol{M}} = \left[ \begin{array}{l} 1{\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} 0\\ 0{\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} n(0) \end{array} \right]\left[ \begin{array}{l} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} \cos (\sqrt A {\kern 1pt} {\kern 1pt} z){\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} \frac{1}{{\sqrt A }}\sin (\sqrt A {\kern 1pt} {\kern 1pt} z)\\ - \sqrt A \sin (\sqrt A {\kern 1pt} {\kern 1pt} z){\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} \cos (\sqrt A {\kern 1pt} {\kern 1pt} z) \end{array} \right]\left[ \begin{array}{l} 1{\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} 0\\ 0{\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} \frac{1}{{n(0)}} \end{array} \right]\left[ \begin{array}{l} 1{\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {d_{\rm{s}}}\\ 0{\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} 1 \end{array} \right] $ (4)

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    $ \left\{ \begin{array}{l} {q_1} = \frac{{{A_{\rm{m}}}{q_0} + {B_{\rm{m}}}}}{{{C_{\rm{m}}}{q_0} + {D_{\rm{m}}}}}\\ {q_0} = {\rm{j}}\frac{{{\rm \pi} \omega _0^2}}{\lambda }\\ \frac{1}{{{q_1}}} = \frac{1}{{{R_1}}} - {\rm{j}}\frac{\lambda }{{{\rm \pi} \omega _1^2}} \end{array} \right. $ (5)

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    $ {\theta _{{\rm{out}}}} = {\theta _{{\rm{in}}}} + 2\arctan \frac{{({d_{\rm{s}}} + R)\sin {\theta _{{\rm{in}}}}}}{{R{n_{\rm{c}}}}} - 2\arctan \frac{{({d_{\rm{s}}} + R)\sin {\theta _{{\rm{in}}}}}}{R} $ (6)

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    Zhao-wen CAO, Zi-wei XU, Kuai-sheng ZOU. Study on Beam Width Narrowing of Blue Structured Light in Long Distance[J]. Acta Photonica Sinica, 2020, 49(8): 0814002
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