• Infrared and Laser Engineering
  • Vol. 50, Issue 5, 20200322 (2021)
Xiaoyang Chen and Ming Gao*
Author Affiliations
  • School of Optoelectronic Engineering, Xi'an Technological University, Xi'an 710021, China
  • show less
    DOI: 10.3788/IRLA20200322 Cite this Article
    Xiaoyang Chen, Ming Gao. Design of airborne dual-band common aperture photoelectric aiming optical system[J]. Infrared and Laser Engineering, 2021, 50(5): 20200322 Copy Citation Text show less

    Abstract

    Aiming at the problem of central obstruction and assembly difficulties in the reflective imaging of the airborne dual-band common-aperture photoelectric sighting system, a common-aperture optical system with front-light path refraction imaging was designed. The initial structure of the optical system was calculated using the two-component zoom theory. Based on the Minimum Resolvable Temperature Difference (MRTD) model, the operating distance of infrared system was analyzed, and the compensation residual error of forward image motion was analyzed according to Rayleigh criterion. When the airborne dual-band common-aperture photoelectric aiming optical system worked in the waveband of 0.38-0.76 μm, it can achieve 5× continuous zoom from 36 to 180 mm. When it worked in the 3-5 μm waveband, it can realize three fields of view transformations, and the ratio of the three focal lengths of the three fields is 3. The working F number was 4. The design results show that, in the working environment of -40-60 ℃, the optical system undergoes optical passive athermalization treatment, which meets the requirements of system imaging quality.
    $M = \frac{{\beta _2^*\beta _3^*}}{{{\beta _2}{\beta _3}}}$(1)

    View in Article

    ${\beta _{\rm{2}}} = \frac{{{{f'}_2}}}{{{{f'}_2} + {{f'}_{\rm{1}}} - {d_{S12}}}}$(2)

    View in Article

    ${\beta _{\rm{3}}} = \frac{{{{f'}_{\rm{3}}}}}{{{{f'}_{\rm{3}}} + {{f'}_2}\left( {1 - {\beta _2}} \right) - {d_{S23}}}}$(3)

    View in Article

    $D = {l'_2} - {l_2} + {l'_3} - {l_3}$(4)

    View in Article

    $D = {f'_2}\left( { - {\beta _2} + 2 - \frac{1}{{{\beta _2}}}} \right) + {f'_3}\left( { - {\beta _3} + 2 - \frac{1}{{{\beta _3}}}} \right)$(5)

    View in Article

    ${D^*} = {f'_2}\left( { - \beta _2^* + 2 - \frac{1}{{\beta _2^*}}} \right) + {f'_3}\left( { - \beta _3^* + 2 - \frac{1}{{\beta _3^*}}} \right)$(6)

    View in Article

    ${f'_3}\left( {\frac{1}{{\beta _3^*}} + \beta _3^* - \frac{1}{{{\beta _3}}} - {\beta _3}} \right) + {f'_2}\left( {\frac{1}{{\beta _2^*}} + \beta _2^* - \frac{1}{{{\beta _2}}} - {\beta _2}} \right) = 0$(7)

    View in Article

    $\beta _{\rm{3}}^{{\rm{*2}}} - b\beta _3^* + 1 = 0$(8)

    View in Article

    $b = - \frac{{{{f'}_2}}}{{{{f'}_3}}}\left( {\frac{1}{{\beta _2^*}} - \frac{1}{{{\beta _2}}} + \beta _2^* - {\beta _2}} \right) + \left( {\frac{1}{{{\beta _3}}} + {\beta _3}} \right)$(9)

    View in Article

    $\frac{A}{{{{f'}_3} - A}} - \frac{E}{{{{f'}_3}}} = b - 2$(10)

    View in Article

    ${f'_3} \leqslant \frac{{\left( {3A + E} \right) - \sqrt {\left( {9A - E} \right)\left( {A - E} \right)} }}{8}$(11)

    View in Article

    $\frac{{\left( {3A + E} \right) + \sqrt {\left( {9A - E} \right)\left( {A - E} \right)} }}{8} \leqslant {f'_3} < {d_{S23}} + \frac{{{{f'}_1}}}{{{{f'}_1} - 1}}$(12)

    View in Article

    $\frac{R}{H} = \frac{{f'}}{{N \times d}}$(13)

    View in Article

    $R = \frac{1}{\varepsilon }\ln \frac{{{E_0}\rho {\tau _0}{C^2}}}{{4{F^2}{E_{\min }}}}$(14)

    View in Article

    $\begin{split} {{MRT\!D}}\left( f \right) = &\dfrac{{{{\text{π}} ^2}}}{{4\sqrt {14} }}{{S\!N}}{{{\!R}}_{DT}} \cdot f \cdot\\ & \dfrac{{{{NETD}}}}{{{{MT\!F}}\left( f \right)}} \cdot {\left( {\dfrac{{\beta \gamma }}{{{t_e}{f_p}\Delta {f_n}{\tau _d}}}} \right)^{1/2}} \end{split} $(15)

    View in Article

    $\begin{split}\!\!\!\! {{MRT\!D}}\left( {\tau ,R} \right) = &{{S\!N\!R}} \!\cdot\! \dfrac{R}{{2 \!\cdot\! H}} \!\cdot\! \\ &\dfrac{{{{\text{π}} ^2} \!\cdot\! {T_b}^2}}{{{{M\!T\!F}}\left( f \right) \!\cdot\! T_m^2}}\sqrt {\dfrac{{\beta \!\cdot\! \gamma \!\cdot\! {n_e}}}{{2 \!\cdot\! \alpha \!\cdot\! {t_e} \!\cdot\! {t_i} \!\cdot\! {f_p}}}} \!\cdot\! \\ &\dfrac{{{F^2}}}{{{\tau _0} \!\cdot\! \sqrt {{A_d} \!\cdot\! {n_s}} \!\cdot\! \displaystyle\int\limits_{{\lambda _1}}^{{\lambda _2}} {\tau \left( {\lambda ,R} \right) \!\cdot\! {D^*}\left( \lambda \right)\dfrac{{\partial {M_\lambda }}}{{\partial T}}{\rm{d}}\lambda } }} \end{split} $(16)

    View in Article

    $\Delta T' = \Delta T \cdot {\tau _\alpha }\left( R \right) \geqslant {{MRTD}}\left( f \right)$(17)

    View in Article

    ${V_c} = \frac{V}{H} \cdot F$(18)

    View in Article

    $\Delta {V_c} = \frac{F}{H} \cdot \Delta V + \frac{{V \cdot F}}{{{H^2}}} \cdot \Delta H$(19)

    View in Article

    $\Delta l = \Delta {V_c} \cdot T$(20)

    View in Article

    Xiaoyang Chen, Ming Gao. Design of airborne dual-band common aperture photoelectric aiming optical system[J]. Infrared and Laser Engineering, 2021, 50(5): 20200322
    Download Citation