Bstract. Aim is to determine the Frank elastic constants of an erbium-based liquid crystal complex. Methodology. The orienting effect of a magnetic field on an erbium-based liquid crystal complex was studied by a capacitive method. The dependence of the effective values of the components of the dielectric permittivity of the complex on the magnetic field is obtained. A theoretical approach and a numerical method for determining the Frank elastic constants are proposed based on the experimental dependence of the effective values of the permittivity of a cell on a magnetic field. Results. The dependences of the permittivity of the sample on the applied magnetic field explained, and Frank elastic constants for this substance are found. Research implications. Paramagnetic nematic liquid crystal complexes based on lanthanide ions (lanthanide mesogens) possess highly efficient luminescence and anisotropy of magnetic susceptibility is anomalously large for liquid crystals. The indicated properties of nematic lanthanide mesogens make it possible to create optical media with linearly polarized luminescence for use in optoelectronic devices controlled by electric and magnetic fields.

Aim is to study the features of gamma correction of full-color active-matrix OLED microdisplays in a wide dynamic range of brightness. Methodology. The study was carried out by calculation and experimental methods by modeling color coordinates of OLED electroluminescence at different luminance and accounts RGB color filters transmission spectra. The modeling based on experimental data obtained by measuring the electrical, photometric and spectral characteristics of OLED samples and the transmission spectra of RGB color filters. Results. Introduced base construction of full color active-matrix OLED microdisplays and method of forming color image by filter matrix. Electrical, photometrical and spectral characteristics of initial white OLED structures was represented as well as modeling of RGB color separation and factors affecting color balance of full color image. The features of full color OLED microdisplay gamma correction for different luminance level and temperatures are considered. Research implications. Researches have practical relevance for OLED microdisplays design and calibration in production stage.

Aim of the paper is a numerical investigation of energy levels of a quantum particle in a field of a two-dimensional dipole, based on the numerical algorithm proposed for solving the full two-dimensional Schrцdinger equation. Methodology. With the help of special expansion of a wave function the two-dimensional Schrцdinger equation was transformed to the Sturm-Liouville boundary problem for the system of differential equations. The method of inverted iterations with a shift was applied to the matrix eigenvalues search problem, that was obtained after a finite-difference approximation of the derivatives. Results. The low-lying energy levels and the corresponding wave functions of a quantum particle in a field of a two-dimensional dipole were determined. Research implications. The energy levels of bound states of a quantum particle in a field of a two-dimensional dipole were obtained using the proposed numerical algorithm. The agreement was obtained with the work of other author, where the variational approach was used, for which there is no error estimates of the calculated values relative to the exact solution. The calculations that were carried out by us with known convergence and error estimates fill this gap.

Aim. The aim of this article is to search for the design of an LC light modulator based on a nematic with minimal response time. Methodology. The research method is computer simulation of the integral characteristics of various designs of the LC modulator. The research procedure included a comparison of the integral characteristics of various modulator designs. Results. As a result of the studies, a linear regression was found depending on the total response time of the LC modulator on the twist angle of the nematic structure. It has also been shown that an LC modulator made on the basis of an LC structure with a swivel angle of 270° under antisymmetric boundary conditions with small pre-tilt angles on orienting substrates, operating in the waveguide mode and using a phase film compensator, has optimal integral characteristics. Research implications is to detect linear regression as a function of the total response time of the LC modulator on the twist angle of the nematic structure. The practical significance of the work lies in the fact that the optimal design of the LCD modulator was found, which simultaneously has a small total response time (less than 4 milliseconds) and an acceptable level of contrast ratio (at least 300: 1).

Aim: determination of the thickness and optical constants of carbon diamond-like coatings applied by pulsed laser deposition to develop recommendations for technological modes of applying these coatings to copper and aluminum mirrors. Methodology. The infrared spectroscopic ellipsometry method is used to determine the thickness and optical constants of carbon diamond-like coatings. Results. The thicknesses and optical constants of carbon diamond-like coatings applied to samples of copper and aluminum mirrors by pulsed laser deposition were determined. Research implications. The optimal technological modes for applying diamond-like coatings by pulsed laser deposition to copper and aluminum substrates are determined from the point of view of optical characteristics.

Aim of the article is to consider a simplified model of tunneling of an α-particle in the uranium nucleus. Methodology. Based on the combination of two quantum-mechanical models, the transparency of the potential barrier as a function of the main quantum number is calculated. Results. The transparency of the potential barrier for α-particle in the field of nuclear forces of uranium is calculated depending on the main quantum number. Research implications. The functional dependence of the barrier transparency on the main quantum number is constructed, and the results obtained are discussed.