Abstract
We studied the energy transfer between light beams on the director grating in a hybrid photorefractive liquid crystal (LC) cell assuming the propagation of light waves in the cell to be in the Mauguin regime. This approach makes it possible to trace the change of the gain coefficient dependence on the director grating spacing with the change of the LC director twist. Conditions for the LC flexoelectric parameters and the director helix pitch necessary for transformation the gain coefficient dependence from the nematic to cholesteric type are obtained. The influence of the director splay and bend deformations on the gain coefficient is also studied.
Highlights
In recent years, a strong two-beam energy transfer between light beams coupled on the refractive index grating has been observed in liquid crystals (LCs)
In a scheme with a hybrid organic–inorganic cell a LC layer is placed between two solid substrates, one or two of which is photorefractive
The resulting director grating induces the refractive index grating and ensures coupling of the intersecting beams propagating in the LC [7,8,9,10,11]
Summary
A strong two-beam energy transfer between light beams coupled on the refractive index grating has been observed in liquid crystals (LCs). The description of the experimental results obtained for both nematic [12] and cholesteric LC cells [13,14] required an additional assumption whereby the director magnitude is a nonlinear function of the space-charge field. This leads to the replacement of the flexoelectric coefficients by their effective values, which depend on the space-charge field. Despite the fact that the physical mechanism of interaction of the space-charge field with the director is the same for nematic and cholesteric LCs, the observed dependence of the gain coefficient of the incident signal beam on the director grating spacing is very different.
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