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Optical Microscopy Observations and Construction of Dupin Cyclides at the Isotropic/Smectic A Phase Transition

Abstract : In this work, we are interested in the nucleation of bâtonnets at the Isotropic/Smectic A phase transition of 10CB liquid crystal. Very often, these bâtonnets are decorated with a large number of focal conics. We present here an example of a bâtonnet obtained by optical crossed polarized microscopy in a frequently observed particular area of the sample. This bâtonnet presents bulges and one of them consists of a tessellation of ellipses. These ellipses are two by two tangent, one to each other, and their confocal hyperbolas merge at the apex of the bâtonnet. We propose a numerical simulation with Python software to reproduce this tiling of ellipses as well as the shape of the smectic layers taking the well-known shape of Dupin cyclides within this particular bâtonnet area.
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https://hal-u-picardie.archives-ouvertes.fr/hal-03623322
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Soumis le : mardi 29 mars 2022 - 16:12:18
Dernière modification le : mercredi 30 mars 2022 - 03:56:56

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Mikhael Halaby Macary, Gauthier Damême, Antoine Gibek, Valentin Dubuffet, Benoît Dupuy, et al.. Optical Microscopy Observations and Construction of Dupin Cyclides at the Isotropic/Smectic A Phase Transition. Materials, MDPI, 2021, 14 (16), pp.4539. ⟨10.3390/ma14164539⟩. ⟨hal-03623322⟩

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