Abstract
This work reports theoretical studies on the occurrence of a static periodic distortion (PD) in a nematic sample under the action of crossed electric (E) and magnetic (H) fields applied on a uniformly aligned initial director configuration (n o ). Linear stability analysis with rigid anchoring hypothesis is employed. For homeotropic alignment of a nematic such as M1 which has negative dielectric anisotropy (e A 0), PD occurs when E and H are both in the sample plane. The direction of periodicity depends on the angle between E and H ; PD is unfavorable when H is tilted sufficiently away from E. In a material (such as CCH-7) with e A > 0 and χ A < 0, the direction of periodicity changes continuously in the H, E plane as a function of the strength and tilt of the stabilizing H relative to E. Possible effects of flexoelectricity, weak anchoring and director pretilt are discussed briefly.
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