Freedericksz Instability for the Twisted Nematic Device; A 3D Analysis (INVITED)

Abstract eng:
Of interest here is the three-dimensional analysis of the Freedericksz transition for the Twisted Nematic Device (TND), which iszely used in Liquid Crystal Display (LCD) monitors. Using a coupled mechanical-electromagnetic variational formulation, we study a finite thickness liquid crystal layer, anchored between two infinite parallel plates relatively rotated with respect to each other by a given angle and subjected to a transverse uniform electric field. For small values of this field, all directors lie in planes parallel to the boundary. Above a critical electric field, this solution becomes unstable, while a new bifurcated solution, which has directors with an out-of-plane component, emerges. By scanning a wide range of the liquid crystal’s material parameter space, we establish whether the Freedericksz transition corresponds to a global mode (depending solely on the layer thickness coordinate), or to a local one, with finite wavelengths in one or both directions parallel to the plate.

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