Liquid crystal (LC) director distribution and optical transmission for different types of heterophase systems with different LC boundary conditions is simulated. The first type is a transparent isotropic material with spherical or cylindrical liquid crystalline objects. There are polymer dispersed liquid crystal, LC fiber, lyotropic LC in polarizing films, LC in microgroove and nanogrooves and pores. The second type is an LC layer incorporating an isotropic transparent or non-transparent object like microparticles and nanoparticles, spacers, protrusions in multi-domain vertical alignment LC display et al. The system parameters' influence on LC display performances is discussed. © Copyright 2017 Society for Information Display