Numerical modelling of multi-dimensional liquid crystal optics: Finite-difference time-domain method

Light wave propagation within complex liquid crystal structures is undertak en by the FDTD method, a purely numerical method that explicitly solves Max well's equations in space and time. A specific FDTD arrangement suitable fo r liquid crystal applications is described, allowing for efficient space te rmination, oblique angles of illumination, and correct phasor representatio n. Two application examples are considered: a two-domain twisted pixel form ed by two oppositely twisted sub-domains, and a helical ferroelectric liqui d crystal material. In each case comparison is also made with the optical p rediction obtained by the Berreman method.