Director distribution in periodically deformed planar nematic layers subjected to magnetic field

Dariusz Krzyzanski; Grzegorz Derfel

doi:10.1117/12.385685

12 May 2000 Director distribution in periodically deformed planar nematic layers subjected to magnetic field

Dariusz Krzyzanski, Grzegorz Derfel

Proceedings Volume 4147, Liquid Crystals: Chemistry, Physics, and Applications; (2000) https://doi.org/10.1117/12.385685
Event: XIII International Conference on Liquid Crystals: Chemistry, Physics, and Applications, 1999, Krynica Zdroj, Poland

Abstract

The periodic deformations induced by magnetic field in planar nematic layers, which can be observed as stripes, were studied numerically. Two types of deformations were distinguished corresponding to two directions of the field: (1) perpendicular to the layer, (2) parallel to the layer but perpendicular to the initial director alignment. The rigid surface anchoring conditions were assumed. The calculations were performed for various magnetic field strength and elastic constants ratio. Sinusoidal form of the spatial dependence of the angles determining the director orientation, predicted in earlier theoretical works, was confirmed only for sufficiently small deformations. Quite different structure of the stripes was found at high field strengths. The deformation in each half of the stripe was nearly homogeneous. The deformations in neighboring halves had opposite sense. The homogeneously deformed halves were separated by thin `walls' of highly distorted medium. The width of the stripes increased infinitely when the field approached to some critical value. This effect is equivalent to the transition from the periodic to the homogeneous deformations, since an uniformly deformed half of the stripe spreads over the whole layer.

Citation Download Citation

Dariusz Krzyzanski and Grzegorz Derfel "Director distribution in periodically deformed planar nematic layers subjected to magnetic field", Proc. SPIE 4147, Liquid Crystals: Chemistry, Physics, and Applications, (12 May 2000); https://doi.org/10.1117/12.385685

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