# Posters

## Section 1 - Track 3

On this page, talks in the format of posters are posted. They can be viewed during the whole time of the Conference. To send your question to the authors, please follow to Miro and write your question in the comments. You can also use the feedback form on our website. Authors will answer questions using Miro comments or via email. To get manual go to Instructions (eng / rus).

Andrey Mezhenin and Timur Gruzdev * The use of diffractive optical elements for laser cutting of sheet cardboard *

With the development of high-power CO2-lasers, the manufacture of sheet cardboard products (folding packaging boxes, gaskets, game puzzles, etc.) has been greatly simplified due to the transition from stamping technology to automated laser cutting. One of the ways to expand the technological capabilities of laser processing, in particular, increasing the speed and accuracy, is the use of diffractive optical elements. The implementation of several connected parallel processes can be achieved through the use of multi-order diffraction beam splitters a for cutting along symmetrical contours with using technological laser. Experiments those show the possibility of dividing the initial laser beam by diffraction splitters into several beams with a fixed angle between them have been performed. To simulate the separation of thin-sheet cardboard has been used the finite element method both with the preservation of cells in the cutting zone and with the removal of cells where the fracture temperature is reached. The results confirm the feasibility of the practical implementation automated laser cutting technology of thin-sheet cardboard.

Stanislav Sergunin and Stanislav Krasnov * Focusing of pulsed laser linearly polarized Gaussian beams using refractive microaxicons *

In this work, using the Lumeric software product, focusing calculations were performed for pulsed laser linearly polarized Gaussian beams using refractive microaxicons. The change in the focal spot from the magnitude of the refracting microaxicon and the pulse time is shown.

Gregory Pchelkin, Varvara Fadeenko and Vadim Davydov * Multifunctional fiber-optic system for transmitting microwave signals in the frequency range from 0.135 to 40 GHz *

The paper presents the developed design of a fiber optic system for transmitting microwave signals in radar stations. Using the developed design of a fiber-optic system for transmitting a microwave signal allows you to increase the operating frequency range of the radar at least twice and increase its functionality. A new method is proposed for constructing the design of a fiber-optic system for transmitting a microwave signal. Its use made it possible to reduce the number of functional units in a fiber-optic system compared with previously used structures to ensure the operation of the radar in this frequency range. The results of experimental studies are presented.

Semen Logunov, Vadim Davydov, Nikita Myazin and Vasiliy Rud * Development of an optical imaging system to study the parameters of a magnetic track from a moving object *

The necessity of studying the magnetic track from a moving object is substantiated. An optical system has been developed to detect a magnetic track at sea depth from a moving magnetic object. A method of processing and decoding optical images formed using a ferrofluid cell and laser radiation is proposed. The results of experimental studies are presented.

Michael Osipov and Roman Sergeev * Analysis image formation in double exposure speckle photography *

The paper presents theoretical and experimental results of analysing the formation of a focused image in double-exposure speckle photography. A theoretical analysis of the formation of a focused image in double-exposure speckle photography was performed using the Vander Lugt method. It is shown that moiré fringes are formed as a result of the summation of speckle structures displaced in the space of the photographic plate. Experimental results confirming theoretical research are presented.

Alexey Raku, Alexander Degtyarev, Alexander Shirokanev, Aliona Kibitkina, Nataly Ilyasova and Andrey Zolotarev * Study of the thermal field of the retina of the Human eye in the laser exposure zone during numerical simulation based on the solution of the heat equation in the layered region *

In this article, modeling of the propagation of laser radiation in the layered structures of the fundus is available in order to study the thermal fields arising in the retina and epithelial layer, as well as to achieve the best parameters and search for factors that affect treatment. Modeling the temperature distribution in such hard-to-reach tissues is a necessary and necessary task. In sufficient efficiency. It must be understood that the temperature can be achieved with certain parametric parameters. The results were obtained using numerical solutions. For quantitative solutions, the finite difference method and explicit difference schemes were used.

Alexey Porfirev and Anna Dubman * Advanced photophoresis-based laser trapping in air *

We use structured laser beams for laser trapping and manipulation of light-absorbing particles in air. Non-Gaussian laser profile of such laser beams opens up the possibilities for realizing not only laser trapping but laser rotation and the guiding of trapped particles.

Hanh Hong Mai * New construction design of a fluorescent imaging filter set based on TiO2/SiO2 *

This study presents a new construction design of a filter set for fluorescent imaging applications. The filter set includes three filters: one excitation, one emission and one dichroic filter. The filters are DBR filters which consist of alternating thin film layers of TiO2/SiO2. A needle technique was applied as a synthesis method to optimize the spectral performances of the filters by adjusting a proper number of layers with controlling thickness. As a proof of concept, the filters are designed to maximize the signal-to-noise ratio of fluorescent emission from FITC 488 dye. The obtained results show that the optimized filters represent advanced spectral performance which can be used to improve the sensitivity and the imaging contrast in fluorescence microscopy.

Alexey Dzyuba, Sergey Popov and Pavel Serafimovich * Phase apodization of imaging system in separate color channels for extending depth of field *

The binary optical element for phase apodization of the pupil function of the optical system is calculated in the paper. This optical element provides an increase in the depth of focus of the optical system through at least one color channel for a certain value on the optical axis. The optimization of the binary optical element was performed by simulating annealing. It is shown that the calculated optical element provides an increase in the depth of focus of the optical system by about two times compared with an optical element based on a binary axicon. The calculated optical element can be used in machine vision problems for image classification.

Robert Bielak, Serguei Murzin, Gerhard Liedl, Andreas Otto and Nikolay Kazanskiy * Modeling of temperature fields in DP1000 steel during laser treatment using diffractive optical elements *

Diffractive optical elements (DOEs) with their unique properties allow to form a predetermined beam intensity profile in the focal plane. The use of DOEs in laser material processing technologies reveals new possibilities for controlling the properties and operational characteristics of processed parts. The beam intensity profile formed by DOE is presented in the form of an analytical expression that used to set a surface heat source for modeling thermal processes in DP1000 steel. Experimental studies of samples under laser heating were performed. Simulation output results correlate well with the experimental data. The proposed simulation model, based on a precise heat input definition, is an intermediate step to the final goal, which is the prediction of structural changes in the zone of laser beam irradiation.

Anastasia Shatskaya and Dmitry Artemyev * Human skin model for spatially-resolved fluorescence registration using different fiber optic system configuration *

This work presents a multicomponent six-layer model of human skin to simulate the skin fluorescence response in different spectral ranges. The skin model was developed considering the features of the propagation and collection of radiation by optical fibers and the absorbing properties of individual skin layers. The skin model also contained the main endogenous fluorophores, which make the largest contribution to the fluorescence spectrum. Monte Carlo simulation of fluorescence signal registration using fiber optic probes was carried out, and the ability of different fiber optic systems configurations to selectively register fluorescence from certain skin layers was evaluated.

Roland Fuerbacher, Gerhard Liedl and Serguei Murzin * Investigations on the spatial frequency transition of Laser induced periodic surface structures *

This research shows the influence of laser fluence and pulse number on the spatial frequency distribution of laser induced periodic surface structures (LIPSS) on a stainless steel surface. Also the transition of LIPSS to larger self organized, periodic, cone-like structures has been investigated. Experiments were carried out using a Ti:Sapphire femtosecond laser system with 800 nm centre wavelength, a pulse duration of 30 fs and a repetition rate of 1 kHz. Experiments have been carried out on flat, cold-rolled stainless steel surfaces (1.4301) by variation of the laser output power and feed rate. It could be shown, that the transition of low spatial frequency LIPSS to high spatial frequency LIPSS is a continuous process, strongly depending on the laser single pulse fluence and the pulse number. At higher accumulated fluences the transition of LIPSS to larger self organized structures could be observed. As a result, hierarchical structures were created with micrometer-sized cones at the bottom and nanometer-sized LIPSS on top. By further increasing the accumulated fluence, the grooves between the micro structures are widend until the ablation threshold of the alloy is reached. These hierarchical structures could be of considerable value in improving hydrophobic properties of technical surfaces.

Serguei Murzin, Andrey Tisarev and Maksim Blokhin * Calculation of thermal processes during laser treatment of dual phase steel using element of diffractive computer optics *

Experimental studies of the formation of CO2 laser beam by a reflective diffractive optical element have been performed. A formula is obtained that describes the distribution of power density in the form of an equation for a rectangular-shape heat source. Calculation of thermal processes under laser action was made, taking into account changes in the absorption coefficient of the surface of the processed material using the computer cluster “Sergey Korolev”. To determine temperature fields that occur during laser treatment of the dual phase steel DP 1000, the CFX version 15.0 computational gas dynamics program was used. It was revealed that for the selected processing mode and the integrated value of coating absorption of 0.5, the maximum temperature on the front surface exceeds the liquidus temperature for the processed sheet material, and on the back side is in the range of white heat.

Anton Krents, Nonna Molevich and Liza Yarunova * Optical extreme events in laser with optoelectronic feedback *

We study a theoretical model describing a laser with a positive optoelectronic feedback. Strong time-delayed positive optoelectronic feedback driving losses of the laser leads to rare pulses with extremely large amplitude, called rogue waves.

Elizaveta Grakhova, Guzel Abdrakhmanova, Arsen Ishmiyarov, Irina Vinogradova, Ivan Meshkov, Albert Sultanov, Valeriy Bagmanov and Azat Gizatulin * Development of a beam-forming circuit for an antenna array operating in the W-band *

The paper presents the development of a beam-forming circuit for an antenna array operating in the range of 75-110 GHz. The proposed device is based on the Rotman lens, the shape of which is calculated taking into account the configuration of the antenna array and the required states of its radiation pattern. The Rotman lens circuit has three input ports corresponding to three output radio beams carrying different states of the orbital angular momentum. The application of such a beam-forming scheme can significantly reduce the overall dimensions of the antenna system and can be implemented in the microstrip technology in analog to the antenna array.

Lyudmila Bratchenko, Ekaterina Abrosimova, Sergey Stafeev, Elena Tupikova, Ekaterina Borisova and Ivan Bratchenko * Сonventional Raman and surface-enhanced Raman spectroscopy for human skin components analysis *

In the current study the spectral characteristics of amino acids such as arginine, lysine, glycine, tyrosine, cystine are investigated. The comparative analysis results of the characteristics of arginine, lysine, glycine, tyrosine obtained using Raman scattering in the visible region (central wavelength of 532 nm) and Raman scattering in the near infrared region (central wavelength of 785 nm) are presented. In addition, the possibility of using surface-enhanced Raman spectroscopy in the near infrared region (central wavelength of 785 nm) was analyzed using cystine as an example. The revealed spectral features of the studied amino acids can be used as models for studying the topology of proteins and peptides in human skin during the presence of pathological processes in the body.

Serguei Murzin, Nikolay Kazanskiy, Gerhard Liedl, Robert Bielak, Alexey Melnikov and Stanislav Osipov * Study of structure of dual phase steel after laser heat treatment using moving distributed surface heat sources *

Dual phase steels are characterized by structurally sensitive properties and can be modified using various combinations of heating and cooling parameters. Using scanning electron microscopy, a structure of a dual phase steel in cross sections of heat-affected zones after a laser heat treatment using moving distributed surface heat sources were studied. As a result of the laser treatment, structures in the steel are formed whose properties are determined by the initial structure, a laser exposure time, a heating temperature, and also rates of the heating and the cooling of the metal material. The thermal effect can be controlled within wide limits by changing parameters of the laser beam and processing conditions. This provides the opportunity to obtain a given structure of the processed material and required properties.

Muslim Gubaev and Sergey Degtyarev * Calculation of the rays path in an axicon with a small opening angle *

Programm has been developed that allows one to calculate the path of rays through refractive surfaces. Development was conducted in programming language Python 3.7. Also the class diagram was build. The program allows you to build a tree of rays, while taking into account the reflection and refraction on the surface. The beam path through a two-dimensional axicon with a small opening angle is calculated.

Margarita Rodionova * Ultracompact imaging spectrometer based ring type structures *

The object of research is lens with a ring type structure which will allow get an ultracompact hyperspectrometer in the future. This construct is based on a reflective harmonic lens. The propagation of rays inside the lens was calculated based on the principles of geometric optics with artificial input of diffraction dispersion; the point scattering function was obtained.

Denis Praporshchikov, Daria Ivanova, Maria Ivanova, Anton Bourdine and Vladimir Burdin * Potential opportunities of axial mismatch in input attachment unit of few-mode reflectometers *

In this paper we present experimental results demonstrating the potential for mode group selection based on axial mismatch of optical fibers for few-mode optical reflectometry.

Kirill Volkov, Vladimir Burdin, Anton Bourdine, Oleg Delmukhametov and Evgenia Eremchuk * Model based on Prony decomposition for mode coupling of optical fibers of a cable delivery length *

The paper presents a model based on the Prony decomposition for calculating mode coupling coefficients in optical fiber at the cable delivery length based on measurements of bond distributions or on the basis of modeling irregular optical fiber distributions. Examples are given of calculating the dependences of the normalized coupling coefficients of the modes at the construction length on the frequency detuning of the dominant decomposition component. The presented analysis allows us to talk about the potential possibilities of the proposed model, although, of course, it requires experimental verification.

Ekaterina Ushakova, Alexander Dorogov and Dmitry Zimnyakov * Low-coherence reflectometry of random media: basis approaches to data processing *

A technique of low-coherence reflectometry (LCR) of multiple scattering random media is discussed. Two approaches to analysis of LCR data, which are applied depending on the ratio between the maximal probe depth and the characteristic scale of diffuse propagation of a probe light in a medium, are considered. The examples of application of both approaches to diagnostics of various random media are presented.

Albert Mingazov, Leonid Doskolovich, Dmitry Bykov and Evgeni Bezus * Optimal mass transportation problem in the design of freeform optical elements generating far-field irradiance distributions for plane incident beam *

We consider the problem of calculating a refracting surface generating a prescribed irradiance distribution in the far field in the case of a plane incident beam. We demonstrate that this problem can be formulated as a mass transportation problem (MTP) and obtain the cost function for the MTP. We propose effective method of calculating a refracting surface based on MTP. We give the example of calculating of the refractive surface which forms a chessboard pattern.

Albert Mingazov, Leonid Doskolovich and Dmitry Bykov * The two reflector design problem for forming flat wavefront from a point source *

The article deals with the problem of calculating of two reflecting surfaces which form a given distribution of illumination with a flat wavefront, provided that a point source of light is used. The notion of a weak solution for a given problem is formulated and it is proved the equivalence of this problem and the optimal mass tranfer problem.

Vladimir Lukin * ADAPTIVE CORRECTION OF THE IMAGE OF AN INCORRECT SOURCE-OBJECT *

## Section 1 - Track 2

On this page, talks in the format of posters are posted. They can be viewed during the whole time of the Conference. To send your question to the authors, please follow to Miro and write your question in the comments. You can also use the feedback form on our website. Authors will answer questions using Miro comments or via email. To get manual go to Instructions (eng / rus).

Safaa Mohammed Ridha Hussein Hussein, Muthana Alboedam and Vasiliy Gavrilov * Study the properties of conductivity in two-layer graphene using mathematical modeling *

Graphene is a two-dimensional allotropic form of carbon, with atoms combined into a hexagonal crystal lattice, forming a layer one atom thick. Graphene possessing exceptional optical, mechanical, physical and electrophysical properties. This article details some of the conductivity in graphene. The conductivity of the two-layer graphene was measured by special mathematical models, with conductivity dependent on the voltage at the gate at different temperatures. Conductivity is faced with a jump at zero temperature and a sharp, standard rise in properties at room temperature, as shown clearly in the resulting electronic spectrum.

Sergey Kharitonov, Safaa Hussein, Ann Frize and Nikolay Kazanskiy * Calculation of the band structure of an array of spherical quantum dots *

The article is dedicated to the calculation of the band structure of a linear array of quantum dots.

Mikhail Evseev, Eugene Bashkirov, Ali Othman and Anna Gorchakova-Zakatova * Entanglement in two-atom Jaynes-Cummings model with Kerr nonlinearity *

The entanglement of a quantum system consisting of two superconducting circuits interacting with one-mode quantum electromagnetic field of microwave coplanar cavity in the framework of two-atom Jaynes-Cummings model with the Kerr medium is studied, and the effect of the Kerr medium on that is examined. The result shows that for separable initial atomic states, the Kerr medium can control the entanglement dynamics of the qubits and enhances the amount of qubit-qubit entanglement. We can obtain the maximum entanglement between the atoms by strengthening the nonlinear interaction of the Kerr medium.

Maria Buzaeva, Irina Makarova and Vyacheslav Sergeyev * Dispersion systems with multi-walled carbon nanotubes in a polymer binder *

Physicochemical methods of analysis investigated the structure and properties initial and functionalized multi-walled carbon nanotubes. Studied the effect of the type and size of nanocarbon particles, their percentage, time ultrasonic dispersion on the stability of dispersed carbon systems nanotubes with acrylic monomers. For dispersion into a material matrix the most promising in technological properties are carbon nanotubes functionalized by grafting on the surface of polar carboxyl groups and forming a stable dispersed system with acrylic monomers.

Alexander Gorokhov * Coherent states and control of molecular dynamics *

The method of coherent states on dynamical Lie groups is used to describe the interaction of molecules with stuctured electromagnetic fields. The quantum control of the rotation and vibration of molecules is investigated. In the case of a symmetric top and for vibrations of a molecule with weak anharmonicity, interaction with an external dissipative environment is taken into account. Possible applications in photonics and quantum informatics are considered.

Hanh Hong Mai * The influence of precursor concentration on the crystallinity and morphology of ZnO nanorods grown on printed circuit board substrate *

In this work, the influence of precursor concentration on the surface morphologies, and the crystallinity of ZnO nanorods (NRs) grown on printed circuit board substrates (PCBs) is presented. It was shown that by implementing a galvanic cell structure in an aqueous solution of equimolar concentration of zinc nitrate hexahydrate (Zn[NO3]2·6H2O) and hexamethylenetetramine (C6H12N4), ZnO NRs can directly grow on the PCBs substrate without the assistance of a seed layer. It has been shown that the vertical growth and the crystallinity of the ZnO NRs can also be significantly improved by increasing the equimolar precursor concentrations. The morphologies of the ZnO nanorods were investigated by scanning electron microscope (SEM) and X-ray diffraction (XRD). The crystallinity properties were characterized by Raman spectroscopy and photoluminescence (PL) spectroscopy.

Shostka Vladimir, Shostka Nataliya, Vershitsky Vladislav and Khalilov Server * Structural features of the near-surface layers of highly dilute aqueous solutions *

Currently, particular importance is paid to highly dilute aqueous solutions, due to the fact that not only the presence of clusters, but also more complex structures have been found in them. However, the phenomenon of the emergence of new physicochemical, spectral, diffraction, refractometric effects related to heterogeneity in the changing heterogeneous structure of the surface layers of these solutions has hindered until now. The paper presents the results of vertical laser sensing of drops of hydrophilic substances highly diluted in water, which made it possible to detect clathrate nano-formations in various combinations. We studied droplets of distilled micellar water, hydrogen peroxide, an aqueous solution of glycerol, ethanol, etc. At low concentrations of hydrophilic substances in aqueous solutions, their molecules introduced into the interstices of the water lattice, without causing destruction of its structure. The dissolution mechanism continued only to a certain critical concentration, after which "saturation" is occurred. A further increase in the content of solute in the solution led to the destruction of the ordered structure, and the excess molecules of the hydrophilic substance combined to form complex aggregates.

Dmitry V. Nesterenko, Roman A. Pavelkin, Shinji Hayashi and Victor Soifer * Asymmetric resonances and field enhancement of hybrid plasmon-waveguide modes in CdTe structures *

The planar metal-dielectric structures based on a CdTe waveguide separated from a metal layer by a layer of silicon dioxide support excitation of propagating hybrid plasmon-waveguide modes. The mode's intercoupling results in the appearance of asymmetric resonance line shapes in spectra. We characterize asymmetric resonances of plasmon-induced transparency-like and Fano line shapes in the attenuated total reflection spectra of the structures within the framework of rigorous electromagnetic theory in the infrared region. The study of characteristic resonance regions demonstrated the effects of field redistribution between the interacting hybrid modes in a wide range of their propagation constants. Obtained results can lead to development of applications in sensing and enhanced infrared spectroscopies.

Fikret Mirzade and Rinad Seidgazov * Combined effects of surface elasticity and strain gradient on the instability of laser-excited films with nanoscale thickness *

A coupled diffusion-strain model of the dynamics of local disorder carriers (atomic defects) is presented to study the effect of the surface elastic properties and the strain gradient on the instability of a laser-excited plate with a nanoscale thickness. It is shown that the analysis, which simultaneously includes the nonlocal nature of the interaction of carriers with lattice atoms, surface elasticity, and normal and lateral defect forces that cause the surface layer to bend, gives two maxima on the instability growth rate curve at a sufficiently far above the instability threshold.

Dmitrij Belousov * Analysis of the ordering and area of defects of the TLIPSS structures formed on thin Hf films by astigmatic Gaussian beam *

The results of a quantitative evaluation of the ordering and area of defects of laser-induced periodic surface structures formed on 15 nm Hf film by analyzing their microimages are presented. The investigated structures were produced by astigmatically focused femtosecond Gaussian laser beam with 1026 nm wavelength and 150 μm beam size along the major axis. The dependences of the above-described parameters of the periodic structures on the scanning speed and writing beam power have been obtained. The use of hafnium films allowed forming highly ordered gratings with a period of 650-720 nm at scanning speeds of to 2 mm/s.

Mikhail Evseev and Eugene Bashkirov * Dynamics of entanglement of two superconducting qubits nonresonantly interacting with two independent resonators *

In the present work, we studied the dynamics of entanglement of the states of two superconducting qubits interacting with two microwave modes of independent resonators in the framework of the nonresonant double Janes-Cummings model. The model assumes various frequency mismatches of the resonator fields and atom-field interaction constants. An analytical solution to the model was obtained. The dependence of atomic entanglement on frequency disturbances of resonator fields and transitions in two-level systems was revealed.

А. Bugaev * Resonant nanophotonics structures for analog optical computing *

Sergey Volchkov, Leonid Kochkurov and Dmitry Zimnyakov * Effective dielectric function of semiconductor particles under intense laser pumping *

A method for recovery of the pump-intensity-dependent effective dielectric function of semiconductor particles is presented. Values of the intensity of non-linear scattering and the non-linear absorption coefficient are used as raw data for the recovery. These values are obtained using a modified z-scan technique with simultaneous detection of the scattering intensity at a given scattering angle. Modifications of the method applicable for Rayleigh and Mie scattering systems are discussed.

В.П. Корольков, Д.А. Белоусов * Нанотехнологии для задач дифракционной оптики *

## Section 2 - Track 4

On this page, talks in the format of posters are posted. They can be viewed during the whole time of the Conference. To send your question to the authors, please follow to Miro and write your question in the comments. You can also use the feedback form on our website. Authors will answer questions using Miro comments or via email. To get manual go to Instructions (eng / rus).

Vladislav Myasnikov and Alexander Verichev * Image Inpainting as a Quadratic Programming Task *

Digital image inpainting is an image restoration technique used to replace missing, damaged, or deteriorated parts of images. Classical textual and structural, as well as deep neural network learning-based methods have been proposed for inpainting digital images originating from various sources. In this paper we propose a method that falls within the realm of classical methods. The inpainting task is formulated as a quadratic programming problem, and two solution methods, unsupervised and supervised, are described. The proposed methods are experimentally evaluated on the various classes of test images. We analyze and discuss the results and identify possible future research directions.

Vladimir Chernov * Discrete orthogonal transforms with self-similar basis functions *

New bases of discrete orthogonal transforms associated with some recursive processes and possessing the property of self-similarity are introduced and investigated. Sufficient conditions for the orthogonality of the system of basis functions are proved. Fast transformation algorithms are synthesized for transformations with introduced bases. The connection of the bases under consideration with the analytical properties of the Dirichlet generating series is discussed.

Artem Mukhin, Igor Kilbas, Rustam Paringer and Nataly Ilyasova * Application of the gradient descent for data balancing in diagnostic image analysis problems *

The article proposes an algorithm for data balancing based on gradient descent. The proposed algorithm is able to partially mitigate the influence of the data imbalance problem which is commonly seen in the tasks of diagnostic image analysis. The authors have investigated the influence of the proposed algorithm on the accuracy of a fully convolutional neural network. The neural network was trained on unbalanced data as well as on the balanced by the algorithm. Recommendations on how to use the proposed algorithm are also formulated.

Ekaterina Galitskaya and Viktor Krasheninnikov * Ways to increase the probability of correct recognition of noisy speech commands by their cross-correlation portraits *

Currently, the field of application of voice information-control systems is being intensively expanded, for which recognition of speech commands (SC) is necessary. This recognition is very difficult in the presence of intense acoustic noise. We consider a method for recognizing noisy SCs by cross-correlation portraits (CCP), which is used for speaker-dependent recognition from a limited vocabulary of commands. In this method, SCs are converted to CCPs, which are special images. The probability of correct recognition directly depends on the choice of command standards. The standards should accurately reflect the entire class of commands, for which the library of standards is optimized. The standards are stored as CCPs. Recognized SC is converted into CCP and the closest portrait is found from the set of portraits of standards. In this case, a sufficiently accurate coincidence of the portraits of the standard and the recognizable SC is required. For this, two methods are proposed: phonemic alignment and variation of the boundaries of SC, given that its boundaries can be estimated ahead or delayed. The experiments showed that the proposed modernization of the algorithm significantly increases the probability of correct recognition.

Nikita Andriyanov and Danila Andriyanov * The importance of data augmentation in machine learning for image processing tasks in the face of data scarcity *

The article presents the results of alphabet character recognition by various neural networks in the limited conditions of the source data and with a number of simple augmentations. Furthermore the dependences were obtained for a serial neural network with back propagation of error. The simplest transformations were used for data augmentation. Augmentation process includes the slope of the characters (italics), changing the colour of the characters (from black to red), as well as distortion of the reference images with white Gaussian noise at a signal-to-noise ratio q = 1 ... 10. It is shown that the best results of recognition of the Russian alphabet characters are provided by a network for which all the augmentation methods discussed in this work were used. A study was also conducted of the dependence of recognition accuracy on the signal-to-noise ratio in all trained neural networks.

Nikita Andriyanov * Using neural networks to identify parameters of autoregression model with multiple roots of characteristic equations *

To determine the parameters of autoregressive models with multiple roots of characteristic equations, neural networks were trained. Special cases for first and second order models are considered. Efficiency studies were conducted for neural networks with back propagation of error, cascade type networks and generalized regression networks. The results are compared with an identification algorithm based on correlation functions. The proposed algorithms are implemented both for one-dimensional random sequences based on such models, and for two-dimensional random fields. In addition, the parameters were identified for fitting models to real images.

Nikita Andriyanov and Danila Andriyanov * Modeling and processing of SAR images *

The article is devoted to the method of simulating radar images based on harmonic analysis. The possibilities of forming small and distributed objects in the coordinates of inclined and track ranges are considered. Moreover, for a number of reference objects, a detection algorithm based on the Neyman-Pearson criterion was implemented and investigated, and an algorithm for recognizing reference targets was proposed.

Irina Gndoyan, Alexey Petraeyvsky, Victor Fedoseev and Maria Denisenko * Determination of quantitative and qualitative indicators of hemomicrocirculation of the anterior eye segment according to the results of non-invasive application fluorescein angiography *

Non-invasive application fluorescein angiography of the anterior eye segment provides valuable information about the capillaries and venules hemomicrocirculation of the anterior eye segment in inflammatory and dystrophic ocular diseases. This information includes some quantitative (the number of functioning peripheral and prelimbal venules, the time vessels of the complete filling with the dye) and qualitative (the presence and great of extravasal hyperfluorescence) indicators. However, these indicators are usually assessed visually from digital images. This approach leads to inaccuracies and loss of the important information. In addition, some indicators (for example, the total area of the microvascularization) cannot be obtained "manually." Thus, in this paper, we propose a digital image processing technique aimed to evaluate such parameters. It includes blood vessels segmentation, skeletonization, vessel width estimation, and calculation of the resulting indicators

Vadim Turlapov, Tamara Utesheva and Konstantin Pukhky * The task of detecting the boundaries of hyperspectral image objects *

The problem of boundary detection by the Canny (John F. Canny) algorithm is investigated as a complementary tool for the analysis, segmentation and classification of the hyperspectral (HSI) and multisensor images objects. The possibilities of various measures of the distance between the k-dimensional vectors of signatures in the detection of classes and states of HSI objects are investigated: the angular distance (in the form of the cosine of the angle); Pearson correlation coefficient; Euclidean norms. First of all, the possibilities were analyzed in a situation where the object of interest is determined by the features that appear in part of the HSI channels. Based on the feature vector, an object boundary is detected. Then the object inside the boundary is examined in another part of the channels (or in all channels) by the histogram of the corresponding metric or by the values in the individual channels. An adaptation of the John F. Canny algorithm has been implemented to detect the boundaries of the region of interest as a tool for the study and classification of HSI objects, which creates new opportunities for analysis. The angular distance is determined as the leading scalar metric for detecting boundaries. Values of standard deviations, an average of the signature, Euclidean norms of signatures are used as features of the second level classification. The references of the contoured objects can be used as references of the state of the object for comparative studies, and for further unmixing in units of the library reference objects.

V.O. Sokolov * 75 years of prof. V.A. Fursov *

Article briefly tells about the life and scientific activity of Professor Vladimir A. Fursov. Professor Vladimir Fursov is the Head of the Department of Supercomputers and General Informatics of the Samara National Research University named after academician S.P. Korolev (Samara University) and the leading researcher of the Image Processing Systems Institute of the Russian Academy of Sciences (IPSI RAS) - the branch of the Federal Scientific Research Center “Crystallography and Photonics” of the Russian Academy of Sciences. Professor Vladimir Fursov is a well-known specialist in the field of image processing and pattern recognition. The article analyzes his recent contribution to the development of the theory of identification, methods of images processing and recognition and supercomputing technologies.

Aleksandr Borodinov and Vladislav Myasnikov * Analysis of user tracks on public transport *

The paper considers the problem of matching GPS tracks to a road network. We presented a map-matching algorithm based on dynamic programming. We collected the tracks of movement around the city of several users on personal vehicles with various trip types to test the proposed algorithm. The data collected after matching to the road network can be used to further identify user preferences and to build a transport recommender system.

Ivan Kholopov and Igor Kudinov * Scene-based non-uniformity fixed pattern noise correction algorithm for infrared video sequences *

An algorithm for a fixed pattern noise correction for infrared sensors based on the analysis of the video sequence of a static or dynamic scene observed by the camera is considered. It is shown that on the assumption of the additive nature of the fixed pattern noise, the frame-to-frame accumulation of such noise by analogy with the radar problem of detecting a signal against a correlated clutter can successfully compensate for it with a video sequence of more than 500 frames. During experiments with the Xenics Bobcat 640 short-wave infrared and Xenics Goby 384 long-wave infrared cameras it was demonstrated that in contrast to the well-known non-uniformity correction algorithm for a single frame, typical for it halo artifacts near extended scene objects are not observed in the resulting image, when fixed pattern noise is estimated from the results of accumulation over a set of frames.

## Section 1 - Track 1

Tatiana Plastinina * Modeling the formation of non-diffraction parabolic beams *

All articles, we performed a numerical study of the generalization of parabolic non-diffraction beams of two orders formed from an analytically given distribution of the ring spatial spectrum. The formation and propagation of non-diffraction parabolic beams are simulated using the Fourier transform and the Fresnel transform. The influence of the radius and width of the circular spatial spectrum on the diffraction-free properties of the beams, as well as the nature of the symmetry of the transverse beam patterns depending on the orders of the beam, is studied.

Andrey Ustinov * Peculiarities of the generalized and fractional parabolic beams *

Earlier, we introduced generalized and fractional parabolic beams, and gave a description of their basic properties. This report is devoted to the consideration of not mentioned particular properties of this class of beams, and their theoretical proof. Additional properties that occur when one of the parameters is set to zero are discussed in detail here. We proved that for an integer and a half-integer index, the rotational symmetry of the intensity distribution of the order depending on the index value is manifested. For better visual observation of the rotational symmetry, it is proposed to perform a correction of the angular spectrum in the input plane. It was also proved that for the other values of the index symmetry is not quite strict, and there is an additional rotation of the picture at a certain angle. The value of the angle depends on the index and the distance from the center of the picture. The theoretical conclusions are in good agreement with the results of numerical modeling.

Mikhail Bretsko, Yana Akimova, Yuriy Egorov, Alexander Volyar and Victor Milyukov * Vortex spectrum of perturbed singular beam and informational Shannon entropy *

We demonstrated transformations of vortex beams subjected to sector disturbances in the form of a diaphragm with hard edges. The transformations of the vortex spectra, the orbital angular momentum, and the informational entropy of the perturbed beam are studied. We found that relatively small angular perturbations of the sectors have almost no effect on the OAM, although the information entropy is rapidly increasing due to the birth of new optical vortices caused by diffraction at the edges of the diaphragm.

Yuriy Egorov, Mikhail Bretsko, Yana Akimova and Alexander Volyar * Features of the fine structure of asymmetric TE and TM modes *

This study is devoted to a new section in the field of singular optics - to beams carrying a fractional topological charge. A feature of this type of beams is structural instability, and with the slightest external perturbation, these beams form arrays of optical vortices. These vortices can be connected and, as it were, form an integral picture, or disintegrate due to the fact that during the propagation each of the vortices receives an additional phase incursion. These studies were based on a theoretical calculation and experimental study of the vector structure of beams transporting optical vortices with a fractional topological charge and the proof of the process of forming asymmetric TE (transversely electrical) and TM (transverse magnetic) modes in free space, and the study of the features of their “thin” vector structures in free space.

Oleg Osipov, Dmitry Mishin, Dmitry Panin and Igor Matveev * Investigation of the reflection of plane optical waves from an inhomogeneous nonreciprocal chiral media *

The paper considers an analytical solution of the problem of reflection of optical range plane electromagnetic waves from an inhomogeneous layer of a nonreciprocal chiral media, which is described by a complex coupling coefficient. The problem was solved for incidence of s- and p-polarized waves. Analytical expressions are obtained for the reflection and transmission coefficients of the main and cross-polarized components of the wave field. As a result of numerical simulation, the frequency characteristics of the reflection coefficient moduli of the main and cross-polarized waves are found. It is shown in the work that when a linearly polarized wave is incident, a nonreciprocal chiral layer leads to a rotation of the plane of polarization of the transmitted wave and to the appearance of an elliptical polarization of the reflected wave.

Sergey Lishaev * Investigation of iterative calculation of diffraction-free beams with a given distribution *

An iterative algorithm for calculating the phase diffraction optical element forming a given intensity distribution was considered. The algorithm was developed taking into account the presence of a diffraction-free distribution of the spatial spectrum concentrated in the annular region. The study was carried out by varying the size of the ring in order to find a compromise between the manifestation of a given distribution of diffraction-free properties and the quality of the resulting image.

Evgeny Monin * Comparative study of propagation of Gauss-Laguerre beams and circular Airy beams in a parabolic fiber *

In this paper, a comparative study of the properties of two types of beams-GaussLaguerre and circular Airy beams. It is known that Gauss-Laguerre beams are modes in an optical fiber with a parabolic change in the refractive index, and in free space they retain their structure by changing the scale. On the other hand, circular airy beams, which resemble GaussLaguerre beams in structure, possess autofocus properties. The propagation of two types of beams in a parabolic optical fiber using fractional Fourier transform is considered.

Ilya Rodin * Modeling and researching of propagation of Airy and Pearcey beams *

In given paper we present research of propagation of accelerating Airy and Pearcey beams and their both symmetric and asymmetric modifications. Modeling of propagation was performed with Fourier and Fresnel transformations. Mostly paper is dedicated to research of affect of parameters of input specters on beams non-difractial properties. Also we show an influence of characteristics of input field on formed beams properties and dependence of potential propagation distance and acceleration on focal length, given fields sizes and optical parameters.

Pavel Khorin * The formation of diffraction-free beams with a given distribution based on the Whittaker integral *

In the work, the calculation and study of diffractive optical elements (DOE) for the formation of a diffractionless beam with a given distribution based on the Whittaker integral are performed. To simulate a diffraction-free beam, it is proposed to study the Whittaker integral, as well as to form diffraction-free beams with a given distribution based on an infinitely thin ring.

Victor Kotlyar, Alexey Kovalev and Darya Kalinkina * Spin angular momentum and energy flow density in the sharp focus of a light field with an optical vortex and polarization singularity on the optical axis *

Using the Richards-Wolf formulae, we obtain for a light field with an optical vortex and polarization singularity (radial, azimuthal, or saddle polarization) on the optical axis, expressions for all three components of the spin angular momentum (SAM) density and for the power flow (longitudinal component of the Poynting vector) near the sharp focus of an aplanatic system. As a special case, we investigate focusing of a narrow-ring optical vortex with radial, azimuthal, and saddle polarization. For azimuthal polarization, the SAM is shown to have only the longitudinal component (pure magnetization effect), whereas for saddle polarization, there are areas in the focal plane where the SAM has only the azimuthal transverse component. We also show that if a light field has saddle polarization and a vortex topological charge of three, a reverse power flow arises on the optical axis, several times higher than the direct flow.

Pavel Mokshin, Sergey Kharitonov and Svetlana Khonina * The operation modeling of spectral filters of the THz range using vector Bessel beams *

This article is devoted to modeling the operation of spectral filters based on the use of linearly varying parameters. In this paper, we estimate the size of the scattering spot depending on the parameters of the spectral filter. The results were obtained by decomposing the incident radiation into vector Bessel waves. A numerical calculation showed that a significant deterioration in resolution occurs only in the case of short-focus optical systems.

Sergey Stafeev, Elena Kozlova, Anton Nalimov and Victor Kotlyar * Tight focusing of cylindrical vector beam by gradient index lens *

In this paper we simulated the focusing of a second-order cylindrical vector beam by Mikaelian microlens. It was shown that the lens forms a region of the reverse energy flow near its shadow surface. If the lens has a microhole on the axis, it is possible to localize the region of the direct energy flux inside the lens material and to concentrate the region with the reverse energy flux in free space.

Sergey Stafeev and Victor Kotlyar * Behaviour of transverse Poynting vector components in the vicinity of tight focus *

Using Richards-Wolf formula it was numerically investigated focusing of circularly polarized plane wave with wavelength 532 nm by aplanatic lens with high numerical aperture. We have investigated the behavior of spin energy flow Se = Im[E*×E] and Poynting vector S = Re[E×H*] in focal spot.

Mariia Zablovskaia * Transformation of light beams using waveguides *

In this paper, we studied the transformations of Gaussian-Laguerre beams and Gaussian beams using waveguides. A study was made of the influence of the type of waveguide on the degree of distortion of the beam.

Sergey Volotovskiy * Algorithm for approximating a beam with a given intensity by Hermite-Gaussian modes *

In the optical transmission of information, communication channels can be compressed by superposition of several spatial modes (with given weights carrying information) in one beam at the input of the transmitting system. This problem is quite effectively solved by diffraction optics using various coding methods. At the output of the transmitting system, recognition (detection) of a set of modes contained in the beam is required. In this case, rather complex multi-order optical elements are used, which make it possible to determine only the modulus of the coefficients. Subsequent digital processing is required to recover the relative phases of the coefficients. In this paper, we consider the problem of reconstructing the complex coefficients of the superposition of Hermite-Gaussian modes from the field intensity in a certain plane perpendicular to the propagation axis at a given distance using the Levenberg-Marquardt algorithm.

Alexey Dzyuba * Calculation and research of point spread function in apodized optical system in order to compensate defocus *

It is known that image quality deteriorates noticeably when defocusing or shifting the detection device from the sharpness plane. One way to increase the depth of focus of the optical system and reduce the negative consequences of blurring defocused images is to phase apodize the system, for example, with a cubic phase function. As a rule, apodization is accompanied not only by positive effects (increasing the depth of focus), but also by a significant change in the structure of the point scattering function and the growth of side lobes. Subsequent digital processing can be applied to eliminate the negative effect, but at the same time it is desirable to perform some optimization of the apodizing function, observing a compromise between increasing the depth of focus and distortion of the point scattering function.

Yana Akimova, Mikhail Bretsko, Yuriy Egorov, Alexander Volyar and Victor Milyukov * Digital sorting of perturbed Laguerre-Gaussian modes by radial index *

In this paper, we present digital sorting of the Laguerre-Gaussian (LG) modes by the radial index using method of higher-order intensity moments. It was shown that when a diaphragm is exposed to such a beam, it causes the birth of a huge number of LG beams with different radial numbers and amplitudes. The information entropy of the states of such a perturbed beam increases sharply.

## Section 2 - Track 3

Vladislav Butorov and Marina Chicheva * Research of lossy image compression algorithm based on fractal discrete cosine transform *

Lossy image compression algorithm based on fractal discrete cosine transform is proposed in this paper. Created algorithm is compared to algorithm based on two-dimensional discrete cosine transform. It is shown experimentally that the described algorithm brings less distortion concerning block structure in comparison with square blocks of two-dimensional discrete cosine transform. It is remarked that visual quality characteristics of both algorithms vary poorly for several values ranges of entropy of compressed image.

Nikita Demin, Nataly Ilyasova, Aleksandr Shirokanev and Evgeniy Zamyckij * Segmentation of OCT images for localizing of diabetic macular edema *

A method for localizing the region of diabetic macular edema in the fundus images is proposed based on the analysis of optical coherence tomography (OCT) data. The Canny method is used to find the boundary between the vitreous body and the retina in OCT images. The segmentation method, based on the Kruskal algorithm for constructing the minimum spanning tree of a weighted connected undirected graph, is used to select the retina to the pigment layer in the image. Using the obtained segmentation results, a map of the thickness of the retina of the eye and its deviation from the norm were constructed. In the course of the research, the optimal parameter values were selected in the Canny and graph segmentation algorithms, allowing to achieve a 5% error in the allocation of the region of interest. SIFT, SURF, and AKAZE methods were considered for overlaying calculated maps of the thickness of the retina of the eye and its deviation from the norm on the fundus image. In cases where, along with OCT data, a picture is provided from the fundus of the camera of the OCT apparatus, using the SURF method, it is possible to precisely matching with the fundus image.

Olga Belova, Natalia Vlasova, Ludmila Kavelenova, Eugene Korchikov, Victor Fedoseev, Tatiana Chap and Anna Denisova * Monitoring of the recreation effects on land cover with the use of an unmanned aerial vehicle on the example of the Strelnaya mountain in Samara region *

The Mount Strelnaya is one of the objects most exposed to recreational stress in the Zhigulevsky State Nature Reserve. Until recently, monitoring studies of the recreational pressure carried out by university staff have been limited to either inspecting plant communities from the metal decking installed on the trace, or descending to the surface of the slope and move along it with the risk of injuring vulnerable vegetation cover. The use of unmanned aerial vehicles (UAVs) opens up new prospects for quick and efficient identification of points affected by recreational exposure, including those remote from the floor, without contacting the slope surface. The first experience of integrating ground-based and UAV-based monitoring was carried out in 2019. The Mount Strelnaya was surveyed in spring and autumn using UAVs. The obtained images were reclassified using the method of reference vectors with radial base functions into "trace" and "non-trace" classes. As a result, it was possible to automatically select trampled slope sections with a high fraction of accuracy. The preliminary results of the work are presented

Vladimir Grishanov, Igor Malov, Georgiy Pleshakov and Seda Gevorkyan * Parameterization of fluorescent images of external tissues of the body for diagnostic purposes *

The study of endogenous fluorescence of external tissues of the body is a powerful diagnostic tool. A promising class of diagnostic fluorimeters are fluorimeters that form color images of the surface area excited by radiation of the corresponding spectral composition. In addition, such fluorimeters register images in white light. As a result, two color frames become the object of processing in order to extract diagnostic information. Each frame has three color components. On the basis of experiments carried out on a fluorimeter designed to evaluate the content of glycation end products in the skin (peak wavelength of fluorescence excitation 365 nm), the representative parameter was the ratio of the arithmetic mean value (AMV) of the pixel in the green component of the fluorescent image to the AMV of the pixel in the green component of the image in white light. The use of this ratio revealed age-related and seasonal changes in skin autofluorescence. For the eye sclera at a wavelength of 405 nm fluorescence excitation, the lowest variability was demonstrated by the ratio of the AMV of the pixel in the green component to the AMV of the pixel in the red component of the fluorescent image frame.

Alexey Ruchay, Konstantin Dorofeev and Vsevolod Kalschikov * Accuracy analysis of 3D object reconstruction using mesh filtering *

We analyze the accuracy of 3D object reconstruction using mesh filtering applied to data from a RGB-D sensor. Various methods of mesh filtering are tested and compared with respect to the reconstruction accuracy using real data. In order to improve the accuracy of 3D object reconstruction, an efficient method of mesh filtering is designed. The presented results show an improvement in the accuracy of 3D object reconstruction using the proposed mesh filtering algorithm.

Maksim Baranov and Tristan Malleville * Determination of the structures contours parameters in biological films for the development of the cuneiform dehydration method *

It is well known, that there are some correlations between diseases and geometrical parameters of structures in dehydrated films of biological liquids, in particular in blood serum films. It is necessary to use digital image processing methods for exploring structures and to correlate of their parameters with pathologies. In this paper we describe the creation of algorithm and computer program for analysis of geometrical parameters of structures in dehydrated blood serum films.

Nina Vinogradova, Andrey Sosnovsky and Stepan Egorov * Analysis of the accuracy of determining the vegetation edges according to the Landsat remote sensing data over the territory of the Sverdlovsk region *

The work is devoted to the study of the most commonly used vegetation indices in relation to the territory of the Sverdlovskaya region according to Landsat-7 images. For the image fragments, vegetation maps were constructed using various indices. The accuracy was evaluated of the vegetation map according to digital topographic maps based on the criteria of false alarm errors and missing errors, as well as the total number. The indices having the smallest errors are found. Recommendations on the use of indices of vegetative regions covered by coniferous and mixed forests.

Andrey Kuznetsov and Artem Lanin * Splicing detection based on improved FISH descriptors *

Fake images are becoming more common in the modern world. Influencing our opinion about a person, they may cause considerable damage. To detect such images, automatic detectors are needed. This article presents a method for automatic detecting splicing using computer vision, based on a comparison of the illumination parameters of faces in a single image.

Vladimir Panishchev and Sergey Poltoratskiy * Hardware-oriented algorithm for extracting periodic sequence of digital signals *

The problems of applying pulse sequence processing algorithms at the hardware level to specialized hardware for image processing and recognition systems, monitoring, analysis, control and diagnostics of complex technical objects and man-machine systems are considered. A hardware-oriented algorithm for extracting periodic sequences in control and digital signal processing devices is described. To improve the detection of deterministic sequences the algorithm analyzes multiple values of the period of pulses arrival by weighted processing.

Lubov Shiripova, Olga Strukova and Evgeny Myasnikov * Study of classification techniques for PCA-based human action recognition *

The work presents the results of research of the classification techniques for human action recognition based on PCA and width vectors using a video recorded in the optical range. The method used in this paper consists in the detection of a moving person on a video sequence with size normalization, formation a set of subsequences and feature vectors. The classification of the human action is carried out using support vector machine with different kernels, classifier K-Nearest Neighbors and random forest classifier. The obtained results allowed us to pick up the most effective parameters for the classifiers.

Dmitry Murashov, Yury Obukhov, Ivan Kershner and Mikhail Sinkin * Algorithm for identifying artefact events based on the analysis of video EEG data for monitoring patients with craniocerebral injuries *

One of the problems solved by analyzing the data of long-term video EEG monitoring is the differentiation of epileptic and artifact events. For this, not only multichannel EEG signals are used, but also video data analysis, since traditional methods based on the analysis of EEG wavelet spectrograms cannot reliably distinguish an epileptic seizure from a chewing artifact. In this paper, we propose an algorithm for detecting artefact events based on a joint analysis of the level of the optical flow and the ridges of wavelet spectrograms. The preliminary results of the analysis of real clinical data are given. The results show the possibility in principle of reliable distinguishing non-epileptic events from epileptic seizures.

Ilya Kolobov, Alexander Korobeynikov and Alexander Lozhkin * The microcircuit images analysis based on convolutional neural network *

The paper deals with the analysis of microcircuit images using an artificial neural network. It was used a convolutional network encoder-decoder (Encoder-Decoder Convolutional Neural Network, ED-CNN) based on the U-net architecture to determine the boundaries of transistor elements: the task of segmentation of microcircuit images. As a result, was obtained an average binary accuracy of 90% for determining the ownership of pixels and 16% loss for binary cross entropy on the test sample. The proposed system effectively solves the problem of segmentation of microcircuit images based on standard blocks of modern convolutional neural networks.