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Abstract
The system of algebraic equations which allow to calculate the light induced Frederiks transition threshold in nematic cell with director inhomogeneous anchoring energy is obtained for a general case of light field with spatially modulated intensity. It is found the analytical expressions for threshold in the case of small deviations of anchoring energy from homogeneous value. At the great ones the results of numerical calculations of threshold for some types of the anchoring energy inhomogeneity are presented. The dependence of threshold on the spatial period of light intensity modulation as well as the anchoring energy parameters is discussed.