近似モデルを用いたコレステリック液晶のバンド端波長の角度依存性の定式化

抄録

A simple model for estimating band edge wavelengths of a selective reflection from cholesteric liquid crystals (CLCs) for oblique incidence is proposed. The proposed method is based on geometrical optics. Average refractive indices and propagation angles in a CLC at the short and long wavelength edges of the reflection band are calculated by based on the model. The band edge wavelengths are determined by substituting the average refractive indices and propagation angles into Bragg’s law. The angular dependences of the band edge wavelengths show a good agreement with those calculated by Berreman’s 4×4 matrix method. Although the derived equations are not exact solutions of Maxwell’s equations, our method can predict the angular dependence of the center wavelength, bandwidth, and band edge wavelengths of the selective reflection in CLCs.