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
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)