Abstract

The effect of the transverse confinement of an incident light beam on the hysteresis of light-induced Freedericksz transition in a nematic liquid crystal cell is considered. The thresholds of the orientational instability of the director with an increase and decrease in the light beam’s intensity are calculated numerically in relation to its transverse size. The hysteresis loop width is shown to change nonmonotonically with an increase in the transverse dimension. In contrast to a homogeneous light beam, the hysteresis existence region is determined not only by the parameter (K3 − K1)/K3 but also by the parameter K2/K3. With an increase in the transverse beam size, the critical values of the parameter (K3 − K1)/K3 increase, while those of the parameter K2/K3 decrease.

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