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Power of the Poincaré group : elucidating the hidden symmetries in focal conic domains

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Alexander, Gareth P., Chen, Bryan, Matsumoto, Elisabetta and Kamien, Randall (2010) Power of the Poincaré group : elucidating the hidden symmetries in focal conic domains. Physical Review Letters, Vol.104 (No.25). Article no. 257802. doi:10.1103/PhysRevLett.104.257802

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Official URL: http://dx.doi.org/10.1103/PhysRevLett.104.257802

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Abstract

Focal conic domains are typically the “smoking gun” by which smectic liquid crystalline phases are identified. The geometry of the equally spaced smectic layers is highly generic but, at the same time, difficult to work with. In this Letter we develop an approach to the study of focal sets in smectics which exploits a hidden Poincaré symmetry revealed only by viewing the smectic layers as projections from one-higher dimension. We use this perspective to shed light upon several classic focal conic textures, including the concentric cyclides of Dupin, polygonal textures, and tilt-grain boundaries.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Physics
Journal or Publication Title: Physical Review Letters
Publisher: American Physical Society
ISSN: 0031-9007
Official Date: 25 June 2010
Dates:
DateEvent
25 June 2010Published
Volume: Vol.104
Number: No.25
Page Range: Article no. 257802
DOI: 10.1103/PhysRevLett.104.257802
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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