• Infrared and Laser Engineering
  • Vol. 50, Issue 8, 20200517 (2021)
Bo Liu1, Aimin Liu2、*, Qiaoling Li2, and Laiyun Xie2
Author Affiliations
  • 1College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410003, China
  • 2Xi’an Institute of Optics and Precision Mechanics, Chinese Academy of Sciences, Xi’an 710119, China
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    DOI: 10.3788/IRLA20200517 Cite this Article
    Bo Liu, Aimin Liu, Qiaoling Li, Laiyun Xie. Optical design and analysis of compact visible and medium-wave infrared whisking broom imaging system[J]. Infrared and Laser Engineering, 2021, 50(8): 20200517 Copy Citation Text show less

    Abstract

    To accomplish long-range visible and medium-wave infrared whisking broom imaging detection under strict space limitation, dual-band catadioptric shrink-beam system, double fast steering mirrors, and subsequet compact single-wave lenses was used to build a compact dual-band whisking broom imaging system through lens system design optimization. Among them, dual-band catadioptric shrink-beam system was composed of two-mirror Ritchey Chretien system, CaF2 dichroic prism and subsequet single-wave lenses. The image quality of the shrink-beam system was closed to diffraction limit in the 0.6-0.9 μm and 3.6-4.9 μm wave bands. Image motion of the dual-band shrink-beam system were controlled within halves of the respective pixels during broom imaging process. The effective focal length of the dual-band catadioptric system in the visible band was 1752 mm, there was no lens in between the RC, the three dimensional size of the optical system was 380 mm (axial)×Φ360, the telephoto ratio was 0.22, the line obscuration ratio was 0.34. Based on simulation and analysis, when the incident angles were larger than 30°, the point source transmittance (PST) of the dual-band system was less than 1×10-4 without additional front baffles. And this system was designed with mature optical cold working, installation and adjustment process and low cost.
    $\theta = \frac{{1.22\lambda }}{{{D}}}$(1)

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    $ \begin{array}{cc}\omega \left|\dfrac{{\gamma }_{\omega }}{{\gamma }_{0}}-1\right|\leqslant \dfrac{0.5{P}_{di}}{{f}_{i}}& \left\{ \begin{array}{c}\begin{array}{cc}i=1& {\text{可见光}}\end{array}\\ \begin{array}{cc}i=2& {\text{中波红外}}\end{array}\end{array}\right.\end{array} $(2)

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    $\left\{ \begin{array}{l} {\begin{array}{*{20}{c}} {{l_2} = \dfrac{{ - {{f'}_1} + \Delta }}{{\beta - 1}}}&{\alpha = \dfrac{{{l_2}}}{{{{f'}_1}}}} \end{array}} \\ {\begin{array}{*{20}{c}} {{R_1} = 2{{f'}_1}}&{{R_2} = \dfrac{{\alpha \beta }}{{\beta + 1}}{R_1}} \end{array}} \\ {\begin{array}{*{20}{c}} {d = {{f'}_1}(1 - \alpha )}&{{K_1} = - \left( {1 + \dfrac{{2\alpha }}{{(1 - \alpha ){\beta ^2}}}} \right)} \end{array}} \\ {{K_2} = - \left( {\dfrac{{\dfrac{{2\beta }}{{1 - \alpha }} + (1 + \beta ){{(1 - \beta )}^2}}}{{{{(1 + \beta )}^3}}}} \right)} \end{array} \right.$(3)

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    $NIT{D_{ij}} = \dfrac{{\displaystyle\int\limits_{{\lambda _1}}^{{\lambda _2}} {[L(\lambda ,{t_H}) - L(\lambda ,{t_D})]{R_d}(\lambda ){\rm{d}}\lambda } }}{{\displaystyle\int\limits_{{\lambda _1}}^{{\lambda _2}} {\dfrac{{\partial L(\lambda ,{t_S})}}{{\partial t}}{R_d}(\lambda ){\rm{d}}\lambda } }}\frac{{{\varepsilon _j}^2}}{{{\varepsilon _0}}}{R_j}{\delta _{ij}}$(4)

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    $L(\lambda ,t) = \frac{{2h{c^2}}}{{{\lambda ^5}}}\frac{1}{{\exp (hc/\lambda kt) - 1}}$(5)

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    ${\delta _{ij}} = \frac{m}{M}$(6)

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    ${{{E}}_{{\rm{inc}}}} = {L_{{\rm{sun}}}}{\tau _{{\rm{sun}}}}{\varOmega _{{\rm{sun}}}}\cos ({\theta _{{\rm{sun}}}})$(7)

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    ${L_{{\rm{sun}}}} = \frac{1}{\pi }\int\limits_{{\lambda _1}}^{{\lambda _2}} {\frac{{{c_1}}}{{{\lambda ^5}}}} \frac{1}{{\exp ({c_1}/\lambda {T_{{\rm{sun}}}}) - 1}}{\rm{d}}\lambda $(8)

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    ${{{P}}_{NEP}} = \frac{{\sqrt {{A_d}\Delta f} }}{{{D^*}}}$(9)

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    ${{{E}}_{NEI}} = \frac{{{P_{NEP}}}}{{{A_d}}}$(10)

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    Bo Liu, Aimin Liu, Qiaoling Li, Laiyun Xie. Optical design and analysis of compact visible and medium-wave infrared whisking broom imaging system[J]. Infrared and Laser Engineering, 2021, 50(8): 20200517
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