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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 14 — Jul. 2, 2012
  • pp: 15209–15221

On liquid crystal diffractive optical elements utilizing inhomogeneous alignment

S. Valyukh, V. Chigrinov, H. S. Kwok, and H. Arwin  »View Author Affiliations

Optics Express, Vol. 20, Issue 14, pp. 15209-15221 (2012)

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Formation of a desired liquid crystal (LC) director distribution by the use of inhomogeneous anchoring and pre-tilt angle for electrically controlled diffractive optical elements (DOE) is studied. Such LC DOE can have high periodicity and diffraction efficiency. At the same time they are free of constructive regularities, e.g. a periodic arrangement of the electrodes or thickness deviations, which have undesired impact on diffractive characteristics of LC DOE of other types. We focus on evaluation of potential functional abilities of LC DOE with inhomogeneous alignment. The reasons causing restriction of the LC DOE diffraction efficiency and periodicity are considered. Approaches for improvement of characteristics of the LC DOE are discussed.

© 2012 OSA

OCIS Codes
(230.1950) Optical devices : Diffraction gratings
(230.3720) Optical devices : Liquid-crystal devices

ToC Category:
Optical Devices

Original Manuscript: March 23, 2012
Revised Manuscript: April 29, 2012
Manuscript Accepted: May 1, 2012
Published: June 22, 2012

S. Valyukh, V. Chigrinov, H. S. Kwok, and H. Arwin, "On liquid crystal diffractive optical elements utilizing inhomogeneous alignment," Opt. Express 20, 15209-15221 (2012)

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  1. P. F. McManamon, P. J. Bos, M. J. Escuti, J. Heikenfeld, S. Serati, H. Xie, and E. A. Watson, “A review of phased array steering for narrow-band electrooptical systems,” Proc. IEEE97(6), 1078–1096 (2009). [CrossRef]
  2. F. Träger, Handbook of Lasers and Optics (Springer, 2007).
  3. J. Beeckman, K. Neyts, and P. J. M. Vanbrabant, “Liquid-crystal photonic applications,” Opt. Eng.50(8), 081202 (2011). [CrossRef]
  4. A. Akatay, C. Ataman, and H. Urey, “High-resolution beam steering using microlens arrays,” Opt. Lett.31(19), 2861–2863 (2006). [CrossRef] [PubMed]
  5. T. M. de Jong, D. K. G. de Boer, and C. W. M. Bastiaansen, “Surface-relief and polarization gratings for solar concentrators,” Opt. Express19(16), 15127–15142 (2011). [CrossRef] [PubMed]
  6. E. Hällstig, T. Martin, L. Sjöqvist, and M. Lindgren, “Polarization properties of a nematic liquid-crystal spatial light modulator for phase modulation,” J. Opt. Soc. Am. A22(1), 177–184 (2005). [CrossRef] [PubMed]
  7. J. Zhang, V. Ostroverkhov, K. D. Singer, V. Reshetnyak, and Yu. Reznikov, “Electrically controlled surface diffraction gratings in nematic liquid crystals,” Opt. Lett.25(6), 414–416 (2000). [CrossRef] [PubMed]
  8. S. Valyukh, I. Valyukh, and V. Chigrinov, “Liquid-crystal based light steering optical elements,” Photon. Lett. Pol. 3, 88–90 (2011), http://photonics.pl/PLP/index.php/letters/article/view/3-31/170 .
  9. L. Shi, P. F. McManamon, and P. J. Bos, “Liquid crystal optical phase plate with a variable in-plane gradient,” J. Appl. Phys.104(3), 033109 (2008). [CrossRef]
  10. B. Apter, U. Efron, and E. Bahat-Treidel, “On the fringing-field effect in liquid-crystal beam-steering devices,” Appl. Opt.43(1), 11–19 (2004). [CrossRef] [PubMed]
  11. S. Valyukh and V. Chigrinov, “Optimization of liquid-crystal phased arrays,” SID Int. Symp. Digest Tech. Papers 42, 1691–1694 (2011).
  12. X. Wang, B. Wang, P. J. Bos, P. F. Mcmanamon, J. J. Pouch, F. A. Miranda, and J. E. Anderson, “Modeling and design of an optimized liquid-crystal optical phased array,” J. Appl. Phys.98(7), 073101 (2005). [CrossRef]
  13. B. Bellini, M. A. Geday, N. Bennis, A. Spadlo, X. Quintana, J. M. Oton, and R. Dabrowski, “Design and simulation of single-electrode liquid crystal phased arrays,” Opto-Electron. Rev.14(4), 269–273 (2006). [CrossRef]
  14. J. L. D. Bougrenet and D. L. Tocnaye, “A polymer-dispersed liquid crystal-based dynamic gain equalizer,” Liq. Cryst.31, 241–269 (2004).
  15. S. Valyukh, I. Valyukh, V. Chigrinov, H. S. Kwok, and H. Arwin, “Liquid crystal light deflecting devices based on nonuniform anchoring,” Appl. Phys. Lett.97(23), 231120 (2010). [CrossRef]
  16. S. Valyukh, V. Chigrinov, and H. S. Kwok, “A liquid crystal lens with non-uniform anchoring energy,” SID Int. Symp. Digest Tech. Papers 39, 659–662 (2008).
  17. M. Ye, Y. Yokoyama, and S. Sato, “Liquid crystal lens prepared utilizing patterned molecular orientations on cell walls,” Appl. Phys. Lett.89(14), 141112 (2006). [CrossRef]
  18. M. C. Tseng, F. Fan, C. Y. Lee, A. Murauski, V. Chigrinov, and H. S. Kwok, “Tunable lens by spatially varying liquid crystal pretilt angles,” J. Appl. Phys.109(8), 083109 (2011). [CrossRef]
  19. M. C. Tseng, C. Y. Lee, Y. W. Li, and H. S. Kwok, “Study of stacked alignment layers on a single substrate with spatial liquid crystal pretilt angles and its applications,” SID Int. Symp. Digest Tech. Papers 41, 1731–1734 (2010).
  20. V. G. Chigrinov, V. M. Kozenkov, and H. S. Kwok, Photoalignment of Liquid Crystalline Materials: Physics and Applications (John Wiley & Sons, 2008).
  21. A. Muravsky, A. Murauski, V. Chigrinov, and H. S. Kwok, “Light printing of grayscale pixel images on optical rewritable electronic paper,” Jpn. J. Appl. Phys.47(8), 6347–6353 (2008). [CrossRef]
  22. A. V. Dubtsov, S. V. Pasechnik, A. D. Kiselev, D. V. Shmeliova, and V. G. Chigrinov, “Electrically assisted light-induced azimuthal gliding of the nematic liquid-crystal easy axis on photoaligned substrates,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.82(1), 011702 (2010). [CrossRef] [PubMed]
  23. S. Gauza, C. H. Wen, S. T. Wu, N. Janarthanan, and C. S. Hsu, “Super high birefringence isothiocyanato biphenyl-bistolane liquid crystals,” Jpn. J. Appl. Phys.43(11A), 7634–7638 (2004). [CrossRef]
  24. S. Gauza, P. Kula, R. Dabrowski, G. Sasnouski, and V. Lapanik, “High optical anisotropy nematic single compounds and mixtures,” Trans. Electr. Electron. Mater.13(1), 2–5 (2012). [CrossRef]
  25. I. W. Stewart, The Static and Dynamic Continuum Theory of Liquid Crystals (Taylor & Francis, 2004).
  26. A. Rapini and M. Papoular, “Distorsion d’une lamelle nematique sous champ magnetique conditions d’ancrage aux parois,” J. Phys. (Paris), Colloq.30, 54–56 (1969).
  27. D. W. Berreman, “Numerical modeling of twisted nematic devices,” Philos. Trans. R. Soc. Lond. A309(1507), 203–216 (1983). [CrossRef]
  28. J. B. Davies, S. Day, F. Di Pasquale, and F. A. Fernandez, “Finite element modelling in 2-D of nematic liquid crystal structures,” Electron. Lett.32(6), 582–583 (1996). [CrossRef]
  29. J. E. Anderson, Ph. E. Watson, and P. J. Bos, LC3D: Liquid Crystal Display 3-D Director Simulator Software and Technology Guide (Artech House, 2001).
  30. R. C. Jones, “A new calculus for the treatment of optical systems,” J. Opt. Soc. Am.31(7), 488–493 (1941). [CrossRef]
  31. D. W. Berreman, “Optics in stratified and anisotropic media: 4x4-matrix formation,” J. Opt. Soc. Am.62(4), 502–510 (1972). [CrossRef]
  32. C. M. Titus, J. R. Kelly, E. C. Gartland, S. V. Shiyanovskii, J. A. Anderson, and P. J. Bos, “Asymmetric transmissive behavior of liquid-crystal diffraction gratings,” Opt. Lett.26(15), 1188–1190 (2001). [CrossRef] [PubMed]
  33. C. Jenkins, R. Bingham, K. Moore, and G. 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. A24(7), 2089–2096 (2007). [CrossRef] [PubMed]
  34. M. Born and E. Wolf, Principles of Optics, 7th ed. (Cambridge U. Press, 1999).
  35. J. Nehring, A. R. Kmetz, and T. J. Scheffer, “Analysis of weak-boundary-coupling effects in liquid crystal displays,” J. Appl. Phys.47(3), 850–857 (1976). [CrossRef]
  36. A. D. Kiselev, V. Chigrinov, and D. D. Huang, “Photoinduced ordering and anchoring properties of azo-dye films,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys.72(6), 061703 (2005). [CrossRef] [PubMed]
  37. T. Nanba, H. Naito, K. Matsukawa, and A. Sugimura, “Weak anchoring of nematic liquid crystals on photo-induced surface relief gratings of organic polysilane,” Thin Solid Films518(2), 767–770 (2009). [CrossRef]
  38. F. S. Y. Yeung, Y. L. J. Ho, Y. W. Li, and H. S. Kwok, “Liquid crystal alignment layer with controllable anchoring energies,” J Disp. Technol.4(1), 24–27 (2008). [CrossRef]
  39. F. S. Yeung, J. Y. Ho, Y. W. Li, F. C. Xie, O. K. Tsui, P. Sheng, and H. S. Kwok, “Variable liquid crystal pretilt angles by nanostructured surfaces,” Appl. Phys. Lett.88(5), 051910 (2006). [CrossRef]
  40. K. E. Vaughn, M. Sousa, D. Kang, and C. Rosenblatt, “Continuous control of liquid crystal pretilt angle from homeotropic to planar,” Appl. Phys. Lett.90(19), 194102 (2007). [CrossRef]
  41. J. H. Seo, H. J. Jang, S. R. Lee, T. H. Yoon, J. C. Kim, I. B. Kang, and C. H. Oh, “Wide pretilt angle control of liquid crystal display device by ion beam exposure on the vertical aligning layer,” Jpn. J. Appl. Phys.46(44), L1074–L1076 (2007). [CrossRef]

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