Simulation of homeotropically-aligned liquid crystal microlens optical properties

A method to calculate the deformation of the nematic director in the axially-symmetrical non-uniform relatively strong electric field (when liquid crystal molecules reorientation is large) is proposed. A Euler-Lagrange equation for the nematic director is transformed into the equation for the angle between the director and the electric field line in the one-constant approximation. This equation is solved numerically. The director´s deformation in the homeotropically-aligned liquid crystal microlens have been calculated using this method. The calculation results are in a good agreement with the experimental data