Abstract

In this study, we developed an optical sighting system capable of shooting at a long-distance target by operating a digital gyro mirror composed of a gyro sensor and an FSM. The optical sighting system consists of a reticle part, a digital gyro mirror (FSM), a parallax correction lens, a reticle-ray reflection mirror, and a partial reflection window. In order to obtain the optimal volume and to calculate the leading angle range according to the driving angle of the FSM, a calculation program using Euler rotation angles and a three-dimensional reflection matrix was developed. With this program we have confirmed that the horizontal leading angle of the developed optical sighting system can be implemented under about ±8° for the maximum horizontal driving angle (β = ±12.5°) of the current FSM. Also, if the β horizontal driving angle of the FSM is under about ±15.5°, it can be confirmed that the horizontal direction leading angle can be under ±10.0°. If diagonal leading angles are allowed, we confirmed that we can achieve a diagonal leading angle of ±10.0° with a vertical driving angle α of ±7.1° and horizontal driving angle β of ±12.5°.

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  1. J. A. Cameron and D. L. FraleyApparatus for boresighting a firearmU.S. Patent19915001836
  2. L. E. Moore and A. MooreGun with mounted sighting deviceU.S. Patent20110209381 A1
  3. S. H. Park, B. S. Jung, and D. H. LeeDevelopment of prism dot-sight combined with thermal imaging cameraJ. Korean Ophthalmic Opt. Soc.201419479485
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  5. D. H. Lee and S. H. ParkDevelopment of dot sight with 2X magnificationJ. Korean Ophthalmic Opt. Soc.201217435440
  6. D. H. LeeDevelopment of day and night scope with BS prismJ. Korean Ophthalmic Opt. Soc.201419339344
  7. L. R. Hedding and R. A. LewisFast steering mirror design and performance for stabilization and single axis scanningProc. SPIE200513041424
  8. Q. Wang, K. Chen, and C. Y. FuMethod for controlling fast-steering mirror driven by voice coil motor based on the closed-loop performanceOpto-Electron. Eng.200532911
  9. M. J. Xie, J. G. Ma, and C. Y. FuDesign and experiment of a LQ controller used in high-bandwidth fast-steering mirror systemProc. SPIE20004025250
  10. H. F. Mokbel, W. Yuan, L. Q. Ying, C. G. Hua, and A. A. RoshdyResearch on the mechanical design of two-axis fast steering mirror for optical beam guidanceProc. 2012 International Conference on Mechanical Engineering and Material ScienceChina2012Dec.205209
  11. G. B. Arfken and H. J. WeberMathematical Methods for Physicists6th ed.Elsevier Academic PressNY, USA2005202203
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  13. K. ShoemakeAnimating rotation with quaternion curvesProc. SIGGRAPH ’85 Proceedings of the 12th Annual Conference on Computer Graphics and Interactive TechniquesUSA1985Jul.245254
  14. E. KovácsRotation about an arbitrary axis and reflection through an arbitrary planeAnn. Math. Inform.201240175186
  15. J. H. BurgeOptical Sciences 421/521Introductory Optomechanical Engineering, 6. Mirror matricesUniversity ofArizonahttps://wp.optics.arizona.edu/optomech/wp-content/uploads/sites/53/2016/08/6-Mirror-matrices.pdf
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  17. P. M. LundOptical element of a parallax free sightU.S. Patent19955440387

Other (17)

J. A. Cameron and D. L. FraleyApparatus for boresighting a firearmU.S. Patent19915001836

L. E. Moore and A. MooreGun with mounted sighting deviceU.S. Patent20110209381 A1

S. H. Park, B. S. Jung, and D. H. LeeDevelopment of prism dot-sight combined with thermal imaging cameraJ. Korean Ophthalmic Opt. Soc.201419479485

D. H. Lee, B. S. Jung, and S. H. ParkDevelopment of dot sight with prism beam splitterJ. Korean Ophthalmic Opt. Soc.201318519524

D. H. Lee and S. H. ParkDevelopment of dot sight with 2X magnificationJ. Korean Ophthalmic Opt. Soc.201217435440

D. H. LeeDevelopment of day and night scope with BS prismJ. Korean Ophthalmic Opt. Soc.201419339344

L. R. Hedding and R. A. LewisFast steering mirror design and performance for stabilization and single axis scanningProc. SPIE200513041424

Q. Wang, K. Chen, and C. Y. FuMethod for controlling fast-steering mirror driven by voice coil motor based on the closed-loop performanceOpto-Electron. Eng.200532911

M. J. Xie, J. G. Ma, and C. Y. FuDesign and experiment of a LQ controller used in high-bandwidth fast-steering mirror systemProc. SPIE20004025250

H. F. Mokbel, W. Yuan, L. Q. Ying, C. G. Hua, and A. A. RoshdyResearch on the mechanical design of two-axis fast steering mirror for optical beam guidanceProc. 2012 International Conference on Mechanical Engineering and Material ScienceChina2012Dec.205209

G. B. Arfken and H. J. WeberMathematical Methods for Physicists6th ed.Elsevier Academic PressNY, USA2005202203

G. G. SlabaughComputing Euler angles from a rotation matrixhttp://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.371.6578&rep=rep1&type=pdf

K. ShoemakeAnimating rotation with quaternion curvesProc. SIGGRAPH ’85 Proceedings of the 12th Annual Conference on Computer Graphics and Interactive TechniquesUSA1985Jul.245254

E. KovácsRotation about an arbitrary axis and reflection through an arbitrary planeAnn. Math. Inform.201240175186

J. H. BurgeOptical Sciences 421/521Introductory Optomechanical Engineering, 6. Mirror matricesUniversity ofArizonahttps://wp.optics.arizona.edu/optomech/wp-content/uploads/sites/53/2016/08/6-Mirror-matrices.pdf

R. E. Fischer and B. Tadis-GalebOptical System Design2nd EdMcGraw-HILLNY, USA2008758759

P. M. LundOptical element of a parallax free sightU.S. Patent19955440387

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