• Infrared and Laser Engineering
  • Vol. 51, Issue 4, 20210549 (2022)
Xiaolei Li and Ming Gao
Author Affiliations
  • School of Ordnance Science and Technology, Xi'an Technological University, Xi'an 710021, China
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    DOI: 10.3788/IRLA20210549 Cite this Article
    Xiaolei Li, Ming Gao. Design of miniaturized dual-band observation system with composite aperture[J]. Infrared and Laser Engineering, 2022, 51(4): 20210549 Copy Citation Text show less

    Abstract

    Aiming at the shortcomings of single-band biological compound eye, such as small aperture, short line-of-sight and narrow receiving spectrum, a bionic compound eye optical system with large aperture for receiving visible light and medium-wave infrared was designed. In view of the large volume of the integrated optical path, the common optical path structure was selected for the sub-eye system. Based on the conjugate relation between object and image of entrance window and exit window, the geometric model of sub-eye system mosaic was established. By designing relay image transfer system, the curved image formed by sub-eye array was converted into planar image, which solved the problem of planar detector receiving curved image. The whole compound eye consists of 37 sub-eyes, with a focal length of 30 mm, a field of view of 20°, an entrance pupil of 10 mm, an included angle between the axes of adjacent sub-eyes of 16°, and a combined field of view of 116°. Compared with microlens array compound eye system, this curved bionic compound eye system has longer detection distance and more complete target information. The imaging quality of sub-eye system and receiving system is good, and there is no thermal difference in the temperature range of -40-+60 ℃.
    $ \begin{split} \hfill {l_1} + {l_2} + {l_3}{\text{ = }}&\Delta \phi R{\text{ = }}4R\arcsin \frac{D}{{4R}}+ \\ &\hfill 2R\arcsin \frac{p}{{2R}} \end{split} $(1)

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    $ \Delta \phi {\text{ = }}\frac{{D + p}}{R} $(2)

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    $ \left\{ \begin{gathered} {\omega _0} < \Delta \phi < 2{\omega _0} \hfill \\ 0 < \alpha < {\omega _0} \hfill \\ \end{gathered} \right. $(3)

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    $ \left\{ \begin{gathered} {\omega _0} = {\alpha _1} + {\alpha _1}^\prime = {\alpha _1} \hfill \\ {\omega _1} = {\alpha _2} + {\alpha _2}^\prime = {\alpha _2} \hfill \\ \end{gathered} \right. $(4)

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    $ \Delta {\phi _i} = {\omega _{i - 1}} + {\omega _i} $(5)

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    $ \omega = {\omega _i} + \Delta {\phi _1} + \Delta {\phi _2} + \cdots {\text{ + }}\Delta {\phi _n} $(6)

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    $ \left( {m - 1} \right)\Delta \phi + 2{\omega _0} = 2\omega \geqslant {100^\circ } $(7)

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    $ \left\{ \begin{gathered} X = 2L\tan {\omega _{ix}} \hfill \\ Y = 2L\tan {\omega _{iy}} \hfill \\ \end{gathered} \right. $(8)

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    $ {W_{ix}} = \Delta {\varphi _i} + {\omega _{ix}} $(9)

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    $ \left\{ \begin{gathered} R = L\sin {W_{ix}} \hfill \\ C = 2\pi L\sin {W_{ix}} \hfill \\ \end{gathered} \right. $(10)

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    $ Ni = \frac{C}{Y} = \frac{{2\pi L\sin {W_{ix}}}}{Y} $(11)

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    $ \left\{ \begin{gathered} {\omega _{ix}} = {\omega _{ix}}^\prime = \frac{x}{{2f'}} \hfill \\ {\omega _{iy}} = {\omega _{iy}}^\prime = \frac{y}{{2f'}} \hfill \\ \end{gathered} \right. $(12)

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    $ Ni = \frac{{2\pi f'\left( {\Delta {\varphi _i} + \arctan \left( {\dfrac{x}{{2f'}}} \right)} \right)}}{y} $(13)

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    $ \left\{ \begin{gathered} {\left( {\frac{1}{{{h_1}\phi }}} \right)^2}\sum\limits_{i = 1} {h_i^2{\phi _i}{\chi _i} = \sum\limits_{i = 1} {{a_i}{L_i}} } \hfill \\ {\left( {\frac{1}{{{h_1}\phi }}} \right)^2}\sum\limits_{i = 1} {h_i^2{\phi _i}{\theta _i} = 0} \hfill \\ \sum\limits_{i = 1} {{h_i}{\phi _i} = \phi } \hfill \\ \end{gathered} \right. $(14)

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    $ {x_{f,y}} = {\alpha _g} - \frac{1}{{n - {n_0}}}\left( {\frac{{{\rm{d}}n}}{{{\rm{d}}T}} - n\frac{{{\rm{d}}n{}_0}}{{{\rm{d}}T}}} \right) $(15)

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    $ {x_{f,d}} = 2{\alpha _g} + \frac{1}{n}\frac{{{\rm{d}}{n_0}}}{{{\rm{d}}T}} $(16)

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    $ \frac{R}{H} = \frac{{f'}}{{2c\mu }} $(17)

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    $ \psi = \frac{{1.22\lambda }}{D} $(18)

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    $ \begin{split} \hfill NIT{D_{ij}} =& \dfrac{{\displaystyle\int_{{\lambda _1}}^{{\lambda _2}} {\left\{ N \right.\left( {\lambda ,{T_H}} \right) - \left. {N\left( {\lambda ,{T_D}} \right)} \right\}} }}{{\displaystyle\int_{{\lambda _1}}^{{\lambda _2}} {\dfrac{{\partial N\left( {\lambda ,{T_{MS}}} \right)}}{{\partial T}}A\left( \lambda \right){R_d}\left( \lambda \right)} }} \cdot\\ &\hfill \dfrac{{{R_d}\left( \lambda \right){t_j}{\lambda ^2}{R_j}\left( \lambda \right){\rm{d}}\lambda }}{{{t_o}\left( \lambda \right){\rm{d}}\lambda }}{\sigma _{ij}} \end{split} $(19)

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    Xiaolei Li, Ming Gao. Design of miniaturized dual-band observation system with composite aperture[J]. Infrared and Laser Engineering, 2022, 51(4): 20210549
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