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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 22 — Aug. 1, 2011
  • pp: 4302–4309

Closed form analytical inverse solutions for Risley-prism-based beam steering systems in different configurations

Yajun Li  »View Author Affiliations

Applied Optics, Vol. 50, Issue 22, pp. 4302-4309 (2011)

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Nonparaxial ray tracing through Risley prisms of four different configurations is performed to give the exact solution of the inverse problem arisen from applications of Risley prisms to free space commu nications. Predictions of the exact solution and the third-order theory [ Appl. Opt. 50, 679 (2011)] are compared and results are shown by curves for systems using prisms of different materials. The exact solution for the problem of precision pointing is generalized to investigate the synthesis of the scan pattern, i.e., to create a desirable scan pattern on some plane perpendicular to the optical axis of the system by controlling the circular motion of the two prisms.

© 2011 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.2720) Geometric optics : Mathematical methods (general)
(120.5800) Instrumentation, measurement, and metrology : Scanners

ToC Category:
Geometric Optics

Original Manuscript: April 20, 2011
Manuscript Accepted: May 30, 2011
Published: July 21, 2011

Yajun Li, "Closed form analytical inverse solutions for Risley-prism-based beam steering systems in different configurations," Appl. Opt. 50, 4302-4309 (2011)

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  1. F. R. Jenkins and H. E. White, Fundamentals of Optics, 4th ed. (McGraw-Hill, 2001), Sec. 2.7.
  2. F. A. Rosell, “Prism scanners,” J. Opt. Soc. Am. 50, 521–526(1960). [CrossRef]
  3. W. L. Wolfe, “Optical-mechanical scanning techniques and devices,” in W.L.Wolfe and G.J.Zissis (eds.), The Infrared Handbook (Environmental Research Institute of Michigan, 1989), Chapt. 10.
  4. Y. Li, “Third-order theory of Risley-prism based beam steering system,” Appl. Opt. 50, 679–686 (2011). [CrossRef] [PubMed]
  5. C. T. Amirault and C. A. DiMarzio, “Precision pointing using a dual-wedge scanner,” Appl. Opt. 24, 1302–1308(1985). [CrossRef] [PubMed]
  6. G. C. Boisset, B. Robertson, and H. S. Hinton, “Design and construction of an active alignment demonstrator for a free-space optical interconnect,” IEEE Photon. Technol. Lett. 7, 676–678(1995). [CrossRef]
  7. J. J. Degnan, “Ray matrix approach for the real time control of SLR2000 optical elements,” in 14th International Workshop on Laser Ranging (2004).
  8. Y. Yang, “Analytic solution of free space optical beam steering using Risley prisms,” J. Lightwave Technol. 26, 3576–3583(2008). [CrossRef]
  9. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999), Sec. 3.2.2.
  10. Y. Li, “Single-mirror beam steering system: analysis and synthesis of high-order conic-section scan patterns,” Appl. Opt. 47, 386–397 (2008). [CrossRef] [PubMed]
  11. G. Garcia-Torales, M. Strojnik, and G. Paez, “Risley prisms to control wave-front tilt and displacement in a vectorial interferometer,” Appl. Opt. 41, 1380–1384 (2002). [CrossRef] [PubMed]
  12. W. C. Warger II and C. A. DiMarzio, “Dual-wedge scanning confocal reflectance microscope,” Opt. Lett. 32, 2140–2142(2007). [CrossRef] [PubMed]

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