UMBILICS : STATIC AND DYNAMIC PROPERTIES

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Abstract
When an electrical field is applied to a homeotropic nematic slab, a Freedericksz transition can occur, with a complete degeneracy for the direction of the projection of the director in the plane of the slab, n⊥. A rotation of n⊥ by 2 π gives rise to point singularities called umbilics. The presence of a shear lifts the degeneracy of n⊥, and reduces the unfavoured domains to 2 π inversion walls which strongly affect the interaction between umbilics. We present theoretical and experimental investigations on the structure and on the shear induced displacements of walls and connected umbilics

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