Abstract
AbstractThe computer‐modeling program, that simulates 3‐dimensional liquid crystal structures and finds two‐or‐three‐dimensionally‐distorted nematic and cholesteric states, has been developed. The program allows for anisotropic elasticity K11 ≠ K22 ≠K33, pretilt angles on the boundaries, anisotropic surface polar and azimuthal anchoring, divergence elastic term K24, and electric and magnetic field effects. In the case when intrinsic periodic structures appear (such as stripes, cholesteric modulations) the developed scaling procedure finds self‐consistent periodicity of these structures. A relaxation finite differences method is employed for minimization of free energy. The core of program is written in the FORTRAN Power Station and tested on Pentium 166 and Pentium II 300. 2D and 3D graphic representations of the director are obtained with the Mathematica 3.0. The speed of calculations, ∼ 2*105meshes*iterations/minute on Pentium 166 is sufficient to find the equilibrium 2D and 3D structures on a modest PC and to optimize devices such as small pixels in displays or diffractive gratings based on modulated cholesteric structures
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