• Infrared and Laser Engineering
  • Vol. 50, Issue 12, 20210700 (2021)
Yushi Zhao, Wenjun He, Zhiying Liu, and Yuegang Fu
Author Affiliations
  • School of Opto-electronic Engineering, Changchun University of Science and Technology, Changchun 130022, China
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    DOI: 10.3788/IRLA20210700 Cite this Article
    Yushi Zhao, Wenjun He, Zhiying Liu, Yuegang Fu. Optical design of MWIR spectral imaging system encoding in spectral dimension[J]. Infrared and Laser Engineering, 2021, 50(12): 20210700 Copy Citation Text show less

    Abstract

    Dual-DMD based MWIR spectral imaging system encoding in spectral dimension was proposed, the tilt of image plane offset caused by the spectral encoding DMD was compansated by a DMD which in the spatial dimension. The composition and working principle of the system were introduced. As a front imaging unit, the telescopic system with a focal length of 240 mm and a F number of 3 was designed. The dual-pass Offner spectroscopic system and the spectral encoding DMD were used to realize multiple functions such as dispersion, encoding, and recombination. A relay imaging system with a magnification of 1 was designed to achieve strict matching of the cold stop. Through the integrated optimization design, the remaining aberrations of the dual-pass Offner spectroscopic system was compensated. The result of designing shows that the system has good spatial imaging and spectral performance, and the operating distance meets the design requirement.
    $ \frac{{15\;{\text{μ}}{\rm{m}}}}{f} \leqslant 0.1\;{\text{mrad}} $(1)

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    $ \omega = \arctan \left( {\frac{L}{{2f}}} \right) = {1.47^{\text{o}}} $(2)

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    $ NA = n\sin u = 1 \times \sin \left( {\arctan \left( {\frac{1}{{2F}}} \right)} \right) = 0.164 $(3)

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    $ {W_D} \geqslant N \times \sqrt 2 \times \Delta = 0.305\;{\rm{mm}} $(4)

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    $ {R_g} = \frac{{{{d}}{W_D}}}{{k\left( {{\lambda _2} - {\lambda _1}} \right)}} = - 120\;{\rm{mm}} $(5)

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    $ MRTD = 0.757\frac{{NETD}}{{MT{F_s}}} $(6)

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    $ MT{F_s} = MT{F_{{\rm{optical}}}} \times MT{F_{{\rm{CCD}}}} \times MT{F_{{\rm{electric}}}} \times MT{F_{{\rm{obv}}}} $(7)

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    $ R = \ln \left[ {{{\dfrac{{\Delta {T_B}}}{{MRTD\sqrt {\dfrac{7}{\varepsilon }} }}} \mathord{\left/ {\vphantom {{\frac{{\Delta {T_B}}}{{MRTD\sqrt {\frac{7}{\varepsilon }} }}} \beta }} \right. } \beta } + \frac{1}{2}{{\left( {\frac{n}{{{A_T}}}} \right)}^{\tfrac{1}{2}}}} \right] $(8)

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    $ P = \frac{{{{\left( {n/{n_e}} \right)}^E}}}{{1 + {{\left( {n/{n_e}} \right)}^E}}} $(9)

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    $ E = 2.7 + 0.7\left( {n/{n_e}} \right) $(10)

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    Yushi Zhao, Wenjun He, Zhiying Liu, Yuegang Fu. Optical design of MWIR spectral imaging system encoding in spectral dimension[J]. Infrared and Laser Engineering, 2021, 50(12): 20210700
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