• Acta Optica Sinica
  • Vol. 41, Issue 18, 1823002 (2021)
Yuan Zhou1, Ying Chen1、*, Guobao Jiang1, Zhiyou Wang1, Yingchang Zou1, Shixun Fan2, Dapeng Fan2, and Fangrong Hu3
Author Affiliations
  • 1College of Electronic Communication and Electrical Engineering, Changsha University, Changsha, Hunan 410022, China
  • 2College of Intelligence Science and Technology, National University of Defense Technology, Changsha, Hunan 410073, China
  • 3School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin, Guangxi 541004, China
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    DOI: 10.3788/AOS202141.1823002 Cite this Article Set citation alerts
    Yuan Zhou, Ying Chen, Guobao Jiang, Zhiyou Wang, Yingchang Zou, Shixun Fan, Dapeng Fan, Fangrong Hu. Nonlinearity Problem Analysis of Target Tracking Based on Rotational Double Prisms[J]. Acta Optica Sinica, 2021, 41(18): 1823002 Copy Citation Text show less
    Schematic for rotational-double-prism-based beam steering system. (a) Description of the system parameters; (b) system arrangement
    Fig. 1. Schematic for rotational-double-prism-based beam steering system. (a) Description of the system parameters; (b) system arrangement
    Slewing angle ΔΨ of outgoing beam. (a) Schematic for beam steering in three-dimensional space; (b) schematic for beam steering in polar coordinate
    Fig. 2. Slewing angle ΔΨ of outgoing beam. (a) Schematic for beam steering in three-dimensional space; (b) schematic for beam steering in polar coordinate
    Slewing angle ΔΨ of direction for target with radial movement. (a) Schematic for beam steering in three-dimensional space; (b) schematic for beam steering in polar coordinate
    Fig. 3. Slewing angle ΔΨ of direction for target with radial movement. (a) Schematic for beam steering in three-dimensional space; (b) schematic for beam steering in polar coordinate
    Ratio of prisms’ rotational speed to beam slewing rate for tracking target with radial movement. (a) Glass prism system; (b) germanium prism system
    Fig. 4. Ratio of prisms’ rotational speed to beam slewing rate for tracking target with radial movement. (a) Glass prism system; (b) germanium prism system
    Slewing angle ΔΨ of direction for target with tangential movement. (a) Schematic for beam steering in three-dimensional space; (b) schematic for beam steering in polar coordinate
    Fig. 5. Slewing angle ΔΨ of direction for target with tangential movement. (a) Schematic for beam steering in three-dimensional space; (b) schematic for beam steering in polar coordinate
    Change of ratio of prisms’ rotational speed to beam slewing rate for tracking target with tangential movement
    Fig. 6. Change of ratio of prisms’ rotational speed to beam slewing rate for tracking target with tangential movement
    Decomposition of instantaneous slewing rate of outgoing beam. (a) Schematic for beam steering in three-dimensional space; (b) schematic for beam steering in polar coordinate
    Fig. 7. Decomposition of instantaneous slewing rate of outgoing beam. (a) Schematic for beam steering in three-dimensional space; (b) schematic for beam steering in polar coordinate
    Ratio of prisms’ rotational speed to beam slewing rate for tracking target with the glass prism system (based on the first group of inverse solutions). (a) θ=0°; (b) θ=180°; (c) θ=30°; (d) θ=210°; (e) θ=60°; (f) θ=240°; (g) θ=90°; (h) θ=270°; (i) θ=120°; (j) θ=300°; (k) θ=150°; (l) θ=330°
    Fig. 8. Ratio of prisms’ rotational speed to beam slewing rate for tracking target with the glass prism system (based on the first group of inverse solutions). (a) θ=0°; (b) θ=180°; (c) θ=30°; (d) θ=210°; (e) θ=60°; (f) θ=240°; (g) θ=90°; (h) θ=270°; (i) θ=120°; (j) θ=300°; (k) θ=150°; (l) θ=330°
    Ratio of prisms’ rotational speed to beam slewing rate for tracking target with the glass prism system (based on the second group of inverse solutions). (a) θ=0°; (b) θ=180°; (c) θ=30°; (d) θ=210°; (e) θ=60°; (f) θ=240°; (g) θ=90°; (h) θ=270°; (i) θ=120°; (j) θ=300°; (k) θ=150°; (l) θ=330°
    Fig. 9. Ratio of prisms’ rotational speed to beam slewing rate for tracking target with the glass prism system (based on the second group of inverse solutions). (a) θ=0°; (b) θ=180°; (c) θ=30°; (d) θ=210°; (e) θ=60°; (f) θ=240°; (g) θ=90°; (h) θ=270°; (i) θ=120°; (j) θ=300°; (k) θ=150°; (l) θ=330°
    Moving direction of target with the same angle θ to radial direction
    Fig. 10. Moving direction of target with the same angle θ to radial direction
    Variations of ratio of prisms’ rotational speed to beam slewing rate as a function of Φ and θ for the glass prism system. (a) (M1)C1; (b) (M2)C1; (c)(M1)C2; (d)(M2)C2
    Fig. 11. Variations of ratio of prisms’ rotational speed to beam slewing rate as a function of Φ and θ for the glass prism system. (a) (M1)C1; (b) (M2)C1; (c)(M1)C2; (d)(M2)C2
    Maximum ratio Mmof prisms’ rotational speed to beam slewing rate and the corresponding values θ for target tracking with the glass prism system. (a) The maximum ratios; (b) the difference between the maximum ratios; (c) the corresponding values θ
    Fig. 12. Maximum ratio Mmof prismsrotational speed to beam slewing rate and the corresponding values θ for target tracking with the glass prism system. (a) The maximum ratios; (b) the difference between the maximum ratios; (c) the corresponding values θ
    Yuan Zhou, Ying Chen, Guobao Jiang, Zhiyou Wang, Yingchang Zou, Shixun Fan, Dapeng Fan, Fangrong Hu. Nonlinearity Problem Analysis of Target Tracking Based on Rotational Double Prisms[J]. Acta Optica Sinica, 2021, 41(18): 1823002
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