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Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 33, Iss. 10 — May. 15, 2008
  • pp: 1081–1083

Prism design for image orientation changes by the screw triangle method

Chuang-Yu Tsai, Psang Dain Lin, and Yu-Lung Lo  »View Author Affiliations

Optics Letters, Vol. 33, Issue 10, pp. 1081-1083 (2008)

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We apply the screw triangle method (STM), which was conventionally used in the field of mechanism design, to design a prism to produce a specified image orientation change (IOC). Compared to existing methods [ Tsai and Lin, Appl. Opt. 45, 3951 (2006) ; Appl. Opt. 46, 3087 (2007) ], the proposed method is both simpler and more efficient, since its derivations are essentially vector-based calculations. The validity of the proposed approach is demonstrated via an illustrative example.

© 2008 Optical Society of America

OCIS Codes
(080.0080) Geometric optics : Geometric optics
(080.2730) Geometric optics : Matrix methods in paraxial optics
(080.2740) Geometric optics : Geometric optical design
(230.5480) Optical devices : Prisms

ToC Category:
Geometric optics

Original Manuscript: December 11, 2007
Revised Manuscript: April 3, 2008
Manuscript Accepted: April 6, 2008
Published: May 13, 2008

Chuang-Yu Tsai, Psang Dain Lin, and Yu-Lung Lo, "Prism design for image orientation changes by the screw triangle method," Opt. Lett. 33, 1081-1083 (2008)

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  1. W. J. Smith, Modern Optical Engineering, 3rd ed. (Edmund Industrial Optics, 2001), pp. 100-121.
  2. C. Y. Tsai and P. D. Lin, Appl. Opt. 45, 3951 (2006). [CrossRef] [PubMed]
  3. C. Y. Tsai and P. D. Lin, Appl. Opt. 46, 3087 (2007). [CrossRef] [PubMed]
  4. B. Roth, J. Eng. Ind. 89, 102 (1967). [CrossRef]
  5. L. W. Tsai and B. Roth, Mech. Mach. Theory 7, 85 (1972). [CrossRef]
  6. J. S. Dai, Mech. Mach. Theory 41, 41 (2006). [CrossRef]
  7. H. Lipkin and J. Duffy, Proc. Inst. Mech. Eng., IMechE Conf. 216, 1 (2002). [CrossRef]
  8. R. P. Paul, Robot Manipulators--Mathematics, Programming and Control (MIT Press, 1982).
  9. M. R. Spiegel, Schaum's Outline of Vector Analysis (McGraw-Hill, 1989).

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