Study of two dimensional nematic liquid crystal reorientations and anchoring effects

In this paper, the director distribution is calculated for a nematic liquid crystal, in the cell with different surface anchoring conditions and external fields. The effects of finite and infinite surface anchoring on molecular orientations for one dimensional geometry are discussed. In these situations, the planar alignment is considered. Then, in a two dimensional geometry the planar and homotropic anchoring conditions are assumed for wall- interfaces of confined nematic, and the reorientation of liquid crystal molecules is determined for two dimensional deformations. Dependence of the threshold field on deformation, geometry of the cell, and magnetic field strengths is investigated.