Response of a twisted nematic liquid crystal to any applied potential

The response of a twisted nematic liquid crystal trapped between flat and parallel aligning layers is analysed. Using a recently developed form for the relevant integrals it has been possible to evaluate the twist and tilt of the director for any applied voltage for twists up to a maximum of 90°. It is shown that the equations describing the cell simplify in the high voltage limit and allow an analytic solution. This leads to considerable improvement in the computational procedures and also enables the twist profile to be expressed in a particularly simple algebraic form.