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

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

Yasuhiro Ogawa, Jun-ichi Fukuda, Hiroyuki Yoshida, and Masanori Ozaki.

Division of Electrical, Electronic and Information Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka 565-0871, Japan and

Nanosystem Research Institute, National Institute of Advanced Industrial Science and Technology (AIST), 1-1-1 Umezono, Tsukuba 305-8568, Japan and

PRESTO, Japan Science and Technology Agency (JST), Kawaguchi, Saitama 332-0012, Japan.

 

Abstract

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

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