Creation of flexible display units is one of the most perspective directions in the development of optoelectronics. Nowadays intensive investigations of flexible screens, displays, microdisplay technology, modulators, etc. based on liquid crystals encapsulated in a polymer are carried out in research centers using flexible reference surfaces. Along with positive properties of the composites in comparison with pure liquid crystals (LC) used in traditional liquid crystal displays, composites are characterized by an enhanced level of the control field necessary for reorientation of LC molecules in the polymer matrix and a change in the time of LC response to an electric pulse [1]. Therefore, investigations aimed at the decrease of the control field and the improvement of the dynamic characteristics of LC encapsulated in the polymer are important for their practical application in future technologies. Synthesis of new liquid crystals with improved functional characteristics is a difficult and expensive process. A simpler method of modification of polymer liquid crystal composition is incorporation of small-sized metal or carbon particles into the polymer liquid crystal composition [2, 3]. The particles change the electrophysical properties of the material and determine the control electric fields and the response times. The threshold voltage of the electric Fredericks transition in pure LC is independent of the layer thickness [4] and can change from several tenth of a volt to several volts. In composites this voltage is determined by additional factors, such as the dielectric properties of the polymer, the thickness of the layer, the size of LC capsules, etc. The voltage of LC molecule reorientation in composites can increase by several ten and even hundred times [5, 6]. According to the Fredericks effect, the external electric field influences the direction of the LC director in the threshold manner that, in turn, leads to changes in the dielectric permittivity of the composite and in the electromagnetic wave passage through the composite. The threshold voltage in the LC encapsulated in the polymer can be investigated based on the voltage-current characteristics [4]. However, this method can be used only if the polymeric binding
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