Enhanced nonlinear birefringence in hybrid aligned nematics
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4.and references therein.
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7.In order to determine the tilt angle distribution inside the cell we minimize the total free energy F. In the case of strong anchoring hypothesis, F is obtained as an ordinary fucntional: being given by Eq. (2), and furthermore, with fixed boundaries. By minimizing the Euler‐Lagrange standard equation is assumed: From Eq. (2) in the HAN case is obtained, while a similar procedure gives in the HOM case.
8.G. Barbero and A. Strigazzi, Mol. Cryst. Liq. Cryst. (in press).
9.Actually is defined through the relation
10.The paper by Khoo et al. published in Appl. Phys. Lett. 39, 937 (1981) reports an expression of quite approximat. Fortunately the same crude approximations cancel each other out so that an excellent agreement between theory and experiment can be claimed. We would point out that incorrect parameters are used for MBBA instead of and where and a factor appears instead of [where cos(30°) = 0.86].
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13.In the case of low anchoring energy the total free energy is given by a generalized functional: where represents the nematic‐substrate interaction. By minimizing the Euler‐Lagrance standard equation is still obtained, and the transversality conditions are found to be being the surface normal unit vector. By means of the last relation, form gives both boundary conditions (8) for the HAN cell and the analogous one for the HOM cell.
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