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

Journal of the Optical Society of America A: Optics and Image Science, and Vision

Volumn 24, Issue 7, 2007, Pages 2089-2096

  Jenkins, Charles ^a   Bingham, Richard ^b   Moore, Kenneth ^c   Love, Gordon D ^d  

^a AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^b ZEMAX Development Corporation ^*  (United Kingdom)

^c ZEMAX Development Corporation   (United States)

^d DURHAM UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

BIREFRINGENCE; FOCUSING; LIQUID CRYSTALS; OPTICAL SYSTEMS; RAY TRACING;

OPTICAL AXIS; ZOOM LENSE;

LENSES;

EID: 34548336984     PISSN: 10847529     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAA.24.002089     Document Type: Article

References (20)

1. S. Kuiper and H. H. W. Hendriks, "Variable-focus liquid lens for minature cameras," Appl. Phys. Lett. 85, 1128-1130 (2004).
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).
4. D. Y. Zhang, N. Justis, and Y. H. Lo, "Integrated fluidic adaptive zoom lens," Opt. Lett. 29, 2855-2857 (2004).
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).
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).
8. L. G. Commander, S. E. Day, and D. R. Selviah, "Variable focal length microlenses," Opt. Commun. 177, 157-170 (2000).
9. D. Wick and T. Martinez, "Adaptive optical zoom," Opt. Eng. (Bellingham) 43, 8-9 (2004).
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).
11. Q.-T. Liang, "Simple ray tracing formulas for uniaxial optical crystals," Appl. Opt. 29, 1008-1010 (1990).
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).
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).
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).
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).
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).
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).