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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 7 — Jul. 1, 2007
  • pp: 2089–2096

Ray equation for a spatially variable uniaxial crystal and its use in the optical design of liquid-crystal lenses

Charles Jenkins, Richard Bingham, Kenneth Moore, and Gordon D. Love  »View Author Affiliations


JOSA A, Vol. 24, Issue 7, pp. 2089-2096 (2007)
http://dx.doi.org/10.1364/JOSAA.24.002089


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Abstract

To be able to design optical systems (e.g., variable focus or zoom lenses) made from liquid-crystal devices, it is necessary to be able to ray trace in a birefringent medium where the angle of the optical axis is a function of position in the device. To our knowledge, the theory required to achieve this has not previously been published, and we derive a suitable algorithm and give some examples of its use.

© 2007 Optical Society of America

OCIS Codes
(220.0220) Optical design and fabrication : Optical design and fabrication
(230.3720) Optical devices : Liquid-crystal devices
(260.5430) Physical optics : Polarization

ToC Category:
Optical Devices

History
Original Manuscript: November 21, 2006
Revised Manuscript: February 1, 2007
Manuscript Accepted: February 4, 2007
Published: June 13, 2007

Citation
Charles Jenkins, Richard Bingham, Kenneth Moore, and Gordon D. Love, "Ray equation for a spatially variable uniaxial crystal and its use in the optical design of liquid-crystal lenses," J. Opt. Soc. Am. A 24, 2089-2096 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-7-2089


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References

  1. S. Kuiper and H. H. W. Hendriks, "Variable-focus liquid lens for minature cameras," Appl. Phys. Lett. 85, 1128-1130 (2004). [CrossRef]
  2. Varioptic, http://www.varioptic.com.
  3. A. Kaplan, N. Friedman, and N. Davidson, "Acousto-optic lens with very fast scanning," Opt. Lett. 26, 1078-1080 (2001). [CrossRef]
  4. D. Y. Zhang, N. Justis, and Y. H. Lo, "Integrated fluidic adaptive zoom lens," Opt. Lett. 29, 2855-2857 (2004). [CrossRef]
  5. L. Dong, A. K. Agarwal, D. J. Beebe, and H. Jiang, "Adaptive liquid microlenses activated by stimuli responsive hydrogels," Nature 442, 551-554 (2006). [CrossRef] [PubMed]
  6. A. F. Naumov, M. Yu. Loktev, I. R. Guralnik, and G. Vdovin, "Liquid-crystal adaptive lens with modal control," Opt. Lett. 19, 1013-1015 (1998).
  7. A. F. Naumov, G. D. Love, M. Yu. Loktev, and F. L. Vladimirov, "Control optimization of spherical modal liquid crystal lenses," Opt. Express 4, 344-352 (1999). [CrossRef] [PubMed]
  8. L. G. Commander, S. E. Day, and D. R. Selviah, "Variable focal length microlenses," Opt. Commun. 177, 157-170 (2000). [CrossRef]
  9. D. Wick and T. Martinez, "Adaptive optical zoom," Opt. Eng. (Bellingham) 43, 8-9 (2004). [CrossRef]
  10. G. Li, D. L. Mathine, P. Valley, P. Äyräs, J. N. Haddock, M. S. Giridhar, G. Willib, J. Schwiegerling, G. R. Meredith, B. Kippelen, S. Honkanen, and N. Peyghambarian, "Switchable electro-optic diffractive lens with high efficiency for ophthalmic applications," Proc. Natl. Acad. Sci. U.S.A. 103, 6100-6104 (2006). [CrossRef] [PubMed]
  11. Q.-T. Liang, "Simple ray tracing formulas for uniaxial optical crystals," Appl. Opt. 29, 1008-1010 (1990). [CrossRef] [PubMed]
  12. S. C. McClain, L. W. Hillman, and R. A. Chipman, "Polarization ray tracing in anisotropic optically active media. II. Algorithms," J. Opt. Soc. Am. A 10, 2371-2382 (1993). [CrossRef]
  13. S. C. McClain, L. W. Hillman, and R. A. Chipman, "Polarization ray tracing in anisotropic optically active media. II. Theory and physics," J. Opt. Soc. Am. A 10, 2383-2393 (1993). [CrossRef]
  14. J. P. Lesso, A. J. Duncan, W. Sibbett, and M. J. Padgett, "Aberrations introduced by a lens made from a birefringent material," Appl. Opt. 39, 592-596 (2000). [CrossRef]
  15. A. Sharma, D. V. Kumar, and A. K. Ghatak, "Tracing rays through graded-index media: a new method," Appl. Opt. 21, 984-987 (1982). [CrossRef] [PubMed]
  16. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).
  17. J. A. Sethian, "Fast marching methods," SIAM Rev. 41, 199235 (1999). [CrossRef]
  18. R. R. Shannon, The Art and Science of Optical Design (Cambridge U. Press, 1997).
  19. ZEMAX Development Corporation, www.ZEMAX.com.
  20. G. D. Love, J. N. Major, and A. Purvis, "Liquid crystal prisms for tip/tilt adaptive optics," Opt. Lett. 19, 1170-1172 (1994). [PubMed]

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