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Effects of weak anchoring on the azimuthal anchoring energy of a nematic liquid crystal at a grooved interface

Fukuda et al. re-examined Berreman's model on the azimuthal anchoring energy at a grooved interface with infinite polar anchoring. We investigate the effects of finite polar anchoring on the azimuthal anchoring energy in the frame of Fukuda et al.’s theory and propose a more general expression for the azimuthal anchoring energy. We show that finite polar anchoring can provide an important contribution to the azimuthal anchoring energy and that the surface-like elastic term still leads to a non-zero contribution to the Rapini–Papoular anchoring energy.