Application of a principle of mathematical models reduction for optimal vector of induced optical effects in crystalline materials for optoelectronics

The detection and elimination principle of redundant elements in the mathematical model is described. This principle has been used for the reduction of various mathematical models of dynamical systems in the form of systems of differential equations and artificial neural networks. In a simplified form, this principle is applied to the reduction model of optimal vector for global maximum of induced optical effect in crystalline materials. On the example of linear electro-optic effect in lithium niobate crystals we have found the optical coefficients that are fully or partially do not affect the resulting global maximum for investigated indicative surfaces.