Introduction to Q-tensor theory
NJ Mottram, CJP Newton - ar**-techniques-for-the-modelling-of-liquid-crystal-devices/CDE63E6BEE6D9240D0A6BF8929806CB1" data-clk="hl=it&sa=T&ct=res&cd=1&d=3446848469204731180&ei=J6qvZ4rEJ5-_6rQPoa3DoAo" data-clk-atid="LAWMqWuq1S8J" target="_blank">Conformal map** techniques for the modelling of liquid crystal devices
AJ Davidson, NJ Mottram - European Journal of Applied …, 2012 - cambridge.org
In this paper, we review a number of uses of conformal map** techniques for obtaining
director profiles of liquid crystals in confined and semi-confined geometries. In particular, we …
director profiles of liquid crystals in confined and semi-confined geometries. In particular, we …
[HTML][HTML] A moving mesh method for modelling defects in nematic liquid crystals
The properties of liquid crystals can be modelled using an order parameter which describes
the variability of the local orientation of rod-like molecules. Defects in the director field can …
the variability of the local orientation of rod-like molecules. Defects in the director field can …
Three-dimensional simulations of light propagation in periodic liquid-crystal microstructures
A composite scheme based on the finite-difference time-domain method and a plane-wave
expansion method is developed and applied to the optics of periodic liquid-crystal …
expansion method is developed and applied to the optics of periodic liquid-crystal …
Elastic energy of liquid crystals in convex polyhedra
We consider nematic liquid crystals in a bounded, convex polyhedron described by a
director field n (r) subject to tangent boundary conditions. We derive lower bounds for the …
director field n (r) subject to tangent boundary conditions. We derive lower bounds for the …
Classification of unit-vector fields in convex polyhedra with tangent boundary conditions
JM Robbins, M Zyskin - Journal of Physics A: Mathematical and …, 2004 - iopscience.iop.org
A unit-vector field n on a convex three-dimensional polyhedron is tangent if, on the faces of,
n is tangent to the faces. A homotopy classification of tangent unit-vector fields continuous …
n is tangent to the faces. A homotopy classification of tangent unit-vector fields continuous …
Preparation of plastic substrates with controlled relief for liquid crystal alignment
A Volynski, E Voronina, S Bazhenov… - Liquid Crystals …, 2000 - spiedigitallibrary.org
A method of preparation of polymeric substrates with a given surface relief is proposed.
While elongating a polymer matrix with a hard coating at temperature lower than the …
While elongating a polymer matrix with a hard coating at temperature lower than the …
[PDF][PDF] Energies of -valued harmonic maps on polyhedra with tangent boundary conditions
A unit-vector field n: P→ S2 on a convex polyhedron P⊂ R3 satisfies tangent boundary
conditions if, on each face of P, n takes values tangent to that face. Tangent unit-vector fields …
conditions if, on each face of P, n takes values tangent to that face. Tangent unit-vector fields …
[PDF][PDF] Anchoring energy measurements: a Practical Approach
We describe a simple method for determining anchoring energies from the measured optical
response of liquid crystal cells. The method is quick and easy to use and can therefore be …
response of liquid crystal cells. The method is quick and easy to use and can therefore be …
A novel approach to modelling nematic liquid crystal cells
CJP Newton, TP Spiller - Molecular crystals and Liquid crystals, 2002 - Taylor & Francis
We present a novel lattice modelling approach for the behaviour of nematic liquid crystals in
cells. Our model includes elastic deformation energy, finite surface anchoring and applied …
cells. Our model includes elastic deformation energy, finite surface anchoring and applied …