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The kinetics of director reorientation in a nematic LC cell and the corresponding change in the extraordinary refractive index for a transmitted light are calculated. The simulation is carried out in order to determine the regularities in the director reorientation times depending on the elastic and viscous properties of the LC medium, the magnitude of the electric field strength, and spatial confinement effects. We have used the Ericksen-Leslie model to describe the reorientation of the LC director under the action of constant electric fields. The simulation has been carried out for a spatially uniform electric field, as well as for a spatially modulated sinusoidal field. Our modeling predicts the formation of fast dynamic refractive index gratings under the action of a constant spatially modulated sinusoidal electric field. With the increase of the LC viscosity, the dynamic grating becomes quasi-stationary.

Kinetics of dynamic refractive index gratings in nematic liquid crystals in spatially inhomogeneous electric fields