29 citations · 97 across the 7 of their papers we have counts for
5 papers · 1 filter
Escape into the Third Dimension in Cholesteric Liquid Crystals
Joseph Pollard, Gareth P. Alexander
Integer winding disclinations are unstable in a nematic and are removed by an `escape into the third dimension', resulting in a non-singular texture. This process is frustrated in…
Contact Topology and the Classification of Disclination Lines in Cholesteric Liquid Crystals
Joseph Pollard, Gareth P. Alexander
We give a topological classification of defect lines in cholesteric liquid crystals using methods from contact topology. By focusing on the role played by the chirality of the mate…
Intrinsic Geometry and Director Reconstruction for Three-Dimensional Liquid Crystals
Joseph Pollard, Gareth P. Alexander
We give a description of the intrinsic geometry of elastic distortions in three-dimensional nematic liquid crystals and establish necessary and sufficient conditions for a set of f…
Geometry of Bend: Singular Lines and Defects in Twist-Bend Nematics
Jack Binysh, Joseph Pollard, Gareth P. Alexander
We describe the geometry of bend distortions in twist-bend nematic liquid crystals in terms of their fundamental degeneracies, which we call lines. These represent a new class…
Point Defects, Chirality and Singularity Theory in Cholesteric Liquid Crystal Droplets
Joseph Pollard, Gregor Posnjak, Gareth P. Alexander +2
We develop a theory of point defects in cholesterics and textures in spherical droplets with normal anchoring. The local structure of chiral defects is described by singularity the…