OSA's Digital Library

Optics Letters

Optics Letters


  • Editor: Alan E. Willner
  • Vol. 38, Iss. 17 — Sep. 1, 2013
  • pp: 3380–3383

Finite-difference time-domain analysis of cholesteric blue phase II using the Landau–de Gennes tensor order parameter model

Yasuhiro Ogawa, Jun-ichi Fukuda, Hiroyuki Yoshida, and Masanori Ozaki  »View Author Affiliations

Optics Letters, Vol. 38, Issue 17, pp. 3380-3383 (2013)

View Full Text Article

Enhanced HTML    Acrobat PDF (419 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



We numerically calculated the photonic band structure of a cholesteric blue phase II (BPII) liquid crystal using two models, the tensor order parameter model and the double-twist cylinder (DTC) model. The tensor order parameter model was derived numerically from the Landau–de Gennes theory, whereas the DTC model simply assumed a three-dimensional stack of ordered cylinders. The two models yielded similar photonic band structures; however, the polarization dependence of the transmission spectrum through the (100) direction in BPII was different. The results from the tensor order parameter model gave a better qualitative agreement with experiments on the transmission spectrum. This demonstrates the importance of a precise orientation model in the analysis of the optical properties of cholesteric blue phases.

© 2013 Optical Society of America

OCIS Codes
(160.3710) Materials : Liquid crystals
(160.5293) Materials : Photonic bandgap materials

ToC Category:

Original Manuscript: May 28, 2013
Revised Manuscript: July 9, 2013
Manuscript Accepted: August 1, 2013
Published: August 26, 2013

Yasuhiro Ogawa, Jun-ichi Fukuda, Hiroyuki Yoshida, and Masanori Ozaki, "Finite-difference time-domain analysis of cholesteric blue phase II using the Landau–de Gennes tensor order parameter model," Opt. Lett. 38, 3380-3383 (2013)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. D. L. Johnson, J. H. Flack, and P. P. Crooker, Phys. Rev. Lett. 45, 641 (1980). [CrossRef]
  2. D. C. Wright and N. D. Mermin, Rev. Mod. Phys. 61, 385 (1989). [CrossRef]
  3. Y. Hisakado, H. Kikuchi, T. Nagamura, and T. Kajiyama, Adv. Mater. 17, 96 (2005). [CrossRef]
  4. H. Kikuchi, M. Yokota, Y. Hisakado, H. Yang, and T. Kajiyama, Nat. Mater. 1, 64 (2002). [CrossRef]
  5. M. Ravnik, G. P. Alexander, J. M. Yeomans, and S. Zumer, Faraday Discuss. 144, 159 (2010). [CrossRef]
  6. M. Ravnik, G. P. Alexander, J. M. Yeomans, and S. Zumer, Proc. Natl. Acad. Sci. 108, 5188 (2011). [CrossRef]
  7. W. Cao, A. Muñoz, P. Palffy-Muhoray, and B. Taheri, Nat. Mater. 1, 111 (2002). [CrossRef]
  8. Z. Ge, S. Gauza, M. Jiao, H. Xianyu, and S.-T. Wu, Appl. Phys. Lett. 94, 101104 (2009). [CrossRef]
  9. Y.-H. Lin, H.-S. Chen, H.-C. Lin, Y.-S. Tsou, H.-K. Hsu, and W.-Y. Li, Appl. Phys. Lett. 96, 113505 (2010). [CrossRef]
  10. V. A. Belyakov and V. E. Dmitrienko, Optics of Chiral Liquid Crystals, I. M. Khalatnikov, ed., Vol. 13 of Soviet Scientific Reviews/Section A (Harwood Academic, 1989).
  11. V. A. Belyakov, Diffraction Optics of Complex-Structured Periodic Media (Springer-Verlag, 1992), Chap. 4.
  12. R. M. Hornreich, S. Shtrikman, and C. Sommers, Phys. Rev. E 47, 2067 (1993). [CrossRef]
  13. P. G. de Gennes and J. Prost, The Physics of Liquid Crystals, 2nd ed. (Oxford University, 1993).
  14. H. Grebel, R. M. Hornreich, and S. Shtrikman, Phys. Rev. A 28, 1114 (1983). [CrossRef]
  15. J. Fukuda, M. Yoneya, and H. Yokoyama, Phys. Rev. E 80, 031706 (2009). [CrossRef]
  16. S. Meiboom, M. Sammon, and W. F. Brinkman, Phys. Rev. A 27, 438 (1983). [CrossRef]
  17. C. Bohley and T. Scharf, J. Opt. A 6, S77 (2004).
  18. M. Ojima, Y. Ogawa, R. Ozaki, H. Moritake, H. Yoshida, A. Fujii, and M. Ozaki, Appl. Phys. Express 3, 032001 (2010). [CrossRef]
  19. S. Urban, B. Gestblom, W. Kuczynski, S. Pawlus, and A. Würflinger, Phys. Chem. Chem. Phys. 5, 924 (2003). [CrossRef]
  20. J. P. Berenger, J. Comput. Phys. 114, 185 (1994). [CrossRef]
  21. J. H. Flack and P. P. Crooker, Phys. Lett. A 82, 247 (1981). [CrossRef]
  22. J. Fukuda, Phys. Rev. E 82, 061702 (2010). [CrossRef]
  23. J. Fukuda, Phys. Rev. E 86, 041704 (2012). [CrossRef]
  24. H. Yoshida, Y. Tanaka, K. Kawamoto, H. Kubo, T. Tsuda, A. Fujii, S. Kuwabata, H. Kikuchi, and M. Ozaki, Appl. Phys. Express 2, 121501 (2009). [CrossRef]
  25. F. Castles, F. V. Day, S. M. Morris, D.-H. Ko, D. J. Gardiner, M. M. Qasim, S. Nosheen, P. J. W. Hands, S. S. Choi, R. H. Friend, and H. J. Coles, Nat. Mater. 11, 599 (2012). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited