liquid crystal systems are used in many optical devices. By simulating
these devices on a computer their characteristics can be found
prior to manufacture, thus saving both time and money during the
One particular device in development is a flexible liquid crystal
panel that could be worn on clothing or used as a replacement
to newspaper. This device has to be very stable under distortion
so that the display does not change colour when it is compressed,
which happens to current liquid crystal displays.
In order to fine-tune the properties of such a device we must
model the behaviour of liquid crystal defects as the device operates–
this virtual prototyping is highly cost effective. We solve a
coupled set of Euler-Lagrange equations to determine the equilibrium
state of the liquid crystal system using a non-linear multigrid
method. This work is in collaboration with Mathematics and the
Defence Research Agency (DERA, Malvern).