On the critical thickness of a twisted nematic cell

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Abstract
The critical thickness of a twisted nematic cell is predicted in the framework of the continuum theory, and its dependence on the twist elastic constant and on the twist anchoring conditions is deduced in the absence of pretilt Moreover, the presence of a pretilt identical on both substrates is considered, but with the restriction of a single elastic constant Furthermore, the rigorous independence of the critical thickness of the surface-like volume elasticities is shown and the twist angles at the walls are analytically obtained for the cell thickness close to the critical one. The particular case of equal anchoring on both sides is also discussed