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Nonlinear inverse solution by the look-up table method for Risley-prism-based scanner

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Języki publikacji
EN
Abstrakty
EN
A pair of rotation Risley prisms can perform superior optical pointing and tracking functions with large visual field and high accuracy. Crucial to the function implementation are the nonlinear inverse solutions to the double-prism orientation angles for tracking a given target trajectory. In the paper, a novel look-up table method is proposed to solve this problem. Because there are two groups of solutions to the rotation angles achieved from an arbitrary target point, a "jump" phenomenon occurs and generates the discontinuous curves of multi-group rotation angle solutions. According to the mapping relation between the coordinate values of the target point and the corresponding rotation angles of two prisms, we can establish the continuous solution curves by adding constraints and employing an optimization algorithm. Experimental results validate the obtained inverse solutions applicable to scan a trajectory close to the given one within an error threshold. The proposed look-up table method can provide foundation for the continuous control of the Risley-prism-based scanner in its inverse applications.Keywords: Risley prism, look-up table method, inverse solution, scanner.
Słowa kluczowe
Czasopismo
Rocznik
Strony
501--515
Opis fizyczny
Bibliogr. 19 poz., rys., tab.
Twórcy
autor
  • School of Mechanical Engineering, Tongji University, 4800 Caoan Road, Shanghai, 201804, China
autor
  • School of Mechanical Engineering, Tongji University, 4800 Caoan Road, Shanghai, 201804, China
autor
  • School of Mechanical Engineering, Tongji University, 4800 Caoan Road, Shanghai, 201804, China
Bibliografia
  • [1] LIREN LIU, LIJUAN WANG, JIANFENG SUN, YU ZHOU, XIANGHONG ZHONG, ZHU LUAN, DE’AN LIU, AIMING YAN, NAN XU, An integrated test-bed for PAT testing and verification of inter-satellite lasercom terminals, Proceedings of SPIE 6709, 2007, article 670904.
  • [2] LIREN LIU, Coherent and incoherent synthetic-aperture imaging ladars and laboratory-space experimental demonstrations, Applied Optics 52(4), 2013, pp. 579–599.
  • [3] MARSHALL G.F., Handbook of Optical and Laser Scanning, Dekker, 2004.
  • [4] CHENG Z., KRAUSZ F., SPIELMANN CH., Compression of 2 mJ kilohertz laser pulses to 17.5 fs by pairing double-prism compressor: analysis and performance, Optics Communications 201(1–3), 2002, pp. 145–155.
  • [5] DUMA V.-F., ROLLAND J.P., PODOLEANU A.G., Perspectives of optical scanning in OCT, Proceedings of SPIE 7556, 2010, article 75560B.
  • [6] WARGER II W.C., DIMARZIO C.A., Dual-wedge scanning confocal reflectance microscope, Optics Letters 32(15), 2007, pp. 2140–2142.
  • [7] GARCIA-TORALES G., STROJNIK M., PAEZ G., Risley prisms to control wave-front tilt and displacement in a vectorial shearing interferometer, Applied Optics 41(7), 2002, pp. 1380–1384.
  • [8] SCHITEA A., TUEF M., DUMA V.-F., VLAICU A.M., Modeling of Risley prisms devices for exact scan patterns, Proceedings of SPIE 8789, 2013, article 878912.
  • [9] ANHU LI, YE DING, YONGMING BIAN, LIREN LIU, Inverse solutions for tilting orthogonal double prisms, Applied Optics 53(17), 2014, pp. 3712–3722.
  • [10] YAJUN LI, Closed form analytical inverse solutions for Risley-prism-based beam steering systems in different configurations, Applied Optics 50(22), 2011, pp. 4302–4309.
  • [11] HAGEN N., TKACZYK T.S., Compound prism design principles, I, Applied Optics 50(25), 2011, pp. 4998–5011.
  • [12] YAGUANG YANG, Analytic solution of free space optical beam steering using Risley prisms, Journal of Lightwave Technology 26(21), 2008, pp. 3576–3583.
  • [13] ANHU LI, LIREN LIU, JIANFENG SUN, XIANGHONG ZHONG, LIJUAN WANG, DEAN LIU, ZHU LUAN, Research on a scanner for tilting orthogonal double prisms, Applied Optics 45(31), 2006, pp. 8063–8069.
  • [14] ANHU LI, XUCHUN JIANG, JIANFENG SUN, LIJUAN WANG, ZHIZHONG LI, LIREN LIU, Laser coarse-fine coupling scanning method by steering double prisms, Applied Optics 51(3), 2012, pp. 356–364.
  • [15] ANHU LI, XINJIAN GAO, WANSONG SUN, WANLI YI, YONGMING BIAN, HONGZHAN LIU, LIREN LIU, Inverse solutions for a Risley prism scanner with iterative refinement by a forward solution, Applied Optics 54(33), 2015, pp. 9981–9989.
  • [16] BORN M., WOLF E., Principles of Optics, 7th Ed., Cambridge University Press, 1999, Sec. 3.2.2.
  • [17] GARCÍA-TORALES G., FLORES J.L., MUÑOZ R.X., High precision prism scanning system, Proceedings of SPIE 6422, 2007, article 64220X.
  • [18] ANHU LI, XUCHUN JIANG, JIANFENG SUN, YONGMING BIAN, LIJUAN WANG, LIREN LIU, Radial support analysis for large-aperture rotating wedge prism, Optics and Laser Technology 44(6), 2012, pp. 1881–1888.
  • [19] DILLON T.E., SCHUETZ C.A., MARTIN R.D., MACKRIDES D.G., CURT P.F., BONNETT J., PRATHER D.W., Nonmechanical beam steering using optical phased arrays, Proceedings of SPIE 8184, 2011, article 81840F.
Uwagi
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ba87af88-6731-4453-a702-24677c7e88a9
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