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Focal Conic Stacking in Smectic A Liquid Crystals: Smectic Flower and Apollonius Tiling
Laboratoire de Physique des Syst`emes Complexes, Universit´e de Picardie Jules Verne, 33 rue Saint-Leu, 80039 Amiens, France
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Received: 3 February 2009; in revised form: 16 April 2009 / Accepted: 20 April 2009 / Published: 22 April 2009
Abstract: We investigate two different textures of smectic A liquid crystals. These textures are particularly symmetric when they are observed at crossed polars optical microscopy. For both textures, a model has been made in order to examine the link between the defective macroscopic texture and the microscopic disposition of the layers. We present in particular in the case of some hexagonal tiling of circles (similar to the Apollonius tiling) some numeric simulation in order to visualize the smectic layers. We discuss of the nature of the smectic layers, which permit to assure their continuity from one focal conic domain to another adjacent one.
Keywords: Defects; Focal conic domains; Liquid crystals; Smectic A; Apollonius tiling; Dupin cyclides
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Meyer, C.; Le Cunff, L.; Belloul, M.; Foyart, G. Focal Conic Stacking in Smectic A Liquid Crystals: Smectic Flower and Apollonius Tiling. Materials 2009, 2, 499-513.
Meyer C, Le Cunff L, Belloul M, Foyart G. Focal Conic Stacking in Smectic A Liquid Crystals: Smectic Flower and Apollonius Tiling. Materials. 2009; 2(2):499-513.
Meyer, Claire; Le Cunff, Loic; Belloul, Malika; Foyart, Guillaume. 2009. "Focal Conic Stacking in Smectic A Liquid Crystals: Smectic Flower and Apollonius Tiling." Materials 2, no. 2: 499-513.