# Vladislav Ivanovich. PustovoitRussian Academy of Sciences | RAS · Scientific-Technological Library; Siberian Branch

Vladislav Ivanovich. Pustovoit

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306

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Introduction

## Publications

Publications (306)

We consider the different approaches to the generation and detection of the high-frequency gravitational waves. The estimations of the amplitude of gravitational waves generated by these methods were made. The characteristics of the high-frequency gravitational waves induced by perturbations of matter and the electromagnetic field are compared. The...

For the first time, a method for filtering of images distorted by multiplicative noise has been substantiated and implemented. The method proposed consists of several stages: formation of 3D similar structures, homomorphic transformation, image filtering in the 3D space of discrete cosine transform (DCT), MAP estimation of images via grouping of si...

The process of generating gravitational waves by a standing electromagnetic wave is considered. The description of gravitational waves coupled with the electromagnetic field is carried out on the basis of linearized Einstein gravity. It is shown that such gravitational-electromagnetic waves inside a Fabry-Perrot resonator lead to generation of the...

A description is made of the process of excitation of bound longitudinal-transverse gravitational waves during the propagation of electromagnetic waves in a dielectric medium. It is shown that the speed of such gravitational waves is less than the speed of light in a vacuum and coincides with the speed of an electromagnetic wave in matter. A descri...

In this paper, various types of sources of gravitational waves are considered. The use of the effect of mutual conversion of electromagnetic and gravitational waves in a nonlinear optical dielectric medium is proposed as a promising method for creating a source of gravitational-wave radiation.

A description is made of the process of excitation of bound longitudinal-transverse gravitational waves during the propagation of electromagnetic waves in a dielectric medium. It is shown that the speed of such gravitational waves is less than the speed of light in a vacuum and coincides with the speed of an electromagnetic wave in matter. A descri...

A description is made of the process of excitation of coupled longitudinal-transverse gravitational waves during the propagation of a strong electromagnetic wave in a vacuum and when a standing electromagnetic wave exists in the Fabry-Perot resonator. It is shown that such waves lead to the appearance of transverse gravitational waves in empty spac...

The possibility of efficiently using metamaterials in acousto-optics has been demonstrated. Diffraction of light in heterogeneous medium with non-uniform spatial distribution of dielectric nanoparticles taking into account absorption of light is investigated. It is shown that by changing the concentration of dielectric nanoparticles in the medium,...

The paper describes the process of generating a coupled gravitational wave as a result of two electromagnetic waves propagating in a vacuum, the frequency of one wave being two times that of the other. We show that when a coupled gravitational wave interacts with two strong electromagnetic waves, lower frequency harmonics are generated. We consider...

Various types of gravity wave sources were considered in this paper. It is proposed to use the effect of mutual conversion of electromagnetic and gravitational waves in a nonlinear optical dielectric medium irradiated by an intensive light source as a perspective method of generating gravitational-wave radiation.

A method for synthesis of digital low-pass filter (LPF) based on spectra of atomic functions \({{{\text{h}}}_{a}}(x)\) is first proposed. Compactly supported function \({{{\text{h}}}_{a}}(x)\) is a solution to the problem of partition of unity, which makes it possible to consider a sum of its \(S\) shifts \({{h}_{{S,a}}}(x)\) as a perfect frequency...

In this paper, we consider signal constructions based on OFDM signals and error-correcting codes that are resistant to the effects of spectrum-concentrated interference. An algorithm for receiving these signal constructions using weight windows and a criterion for optimal weight windows are given. A number of Kravchenko weight windows based on atom...

The paper adduces theoretical data and results of experimental studies confirming the existence of gravitational radiation predicted by the general theory of relativity. It also shows that studying of gravitational waves detection is based on equations of general relativity and equations of electrodynamics, and for modeling of gravitational waves s...

The paper presents an analysis of electronic amplifiers for modern acousto-optical spectrometers, based on two-crystal sequential diffraction of incident radiation by acoustic waves propagating in each acousto-optical (AO) cell. Such a diffraction scheme has a higher spectral resolution, retaining all the other advantages of traditional AO spectrom...

An approach to depth map reconstruction from stereo pairs of color images in visualization of three-dimensional objects is proposed and substantiated for the first time. The approach makes use of a novel local image descriptor based on visual primitives and relations between them, namely, cocolority, coplanarity, distance, and angle. The new approa...

A new computer-aided detection (CAD) system for lung nodule detection and selection in computed tomography scans is substantiated and implemented. The method consists of the following stages: preprocessing based on threshold and morphological filtration, the formation of suspicious regions of interest using a priori information, the detection of lu...

New generalization of Kravchenko–Kotelnikov theorem by spectra of compactly supported infinitely differentiable functions is discussed. These functions are solutions of linear integral equations of special form. The spectrum of is a multiple infinite product of the spectra of atomic functions. dilated by the argument. Constructed generalized series...

A new computer-aided detection (CAD) system for lung nodule detection and selection in computed tomography scans is substantiated and implemented. The method consists of the following stages: preprocessing based on threshold and morphological filtration, the formation of suspicious regions of interest using a priori information, the detection of lu...

A new generalization of the Kravchenko–Kotelnikov theorem by spectra of compactly supported infinitely differentiable functions \(h_{{\mathbf{a}}}^{{(m)}}(x)\) is considered. These functions are solutions of linear integral equations of a special form. The spectrum of \(h_{{\mathbf{a}}}^{{(m)}}(x)\) is a multiple infinite product of the spectra of...

The possibility of efficiently using metamaterials in acousto-optics has been demonstrated. Diffraction reflection and transmission curves of metamedia with a nonuniform spatial distribution of nanoparticles have been studied taking into account absorption of light. The influence of size (geometric) effects of nanoparticles on diffraction reflectio...

The truncation error of the Kravchenko–Kotelnikov series, which is a generalization of the Whittaker–Kotelnikov–Shannon series, is studied. The basis functions of the Kravchenko–Kotelnikov series are the spectra Fa(t) of the atomic function ha(x), linearly transformed with respect to the argument. In this case, the function Fa(t) is defined by an i...

A procedure for filtering images corrupted by mixed (additive-impulsive) noise has been substantiated and implemented for the first time. The novel method is characterized by the following stages: the detection and filtering of pixels corrupted by noise impulses, the image filtering in three-dimensional (3D) discrete cosine transform (DCT) space, a...

The ways of generating and detecting of high frequency gravitational wave in free space and in nonlinear dielectric media under intensive electromagnetic emission excitation have been analyzed. It was shown that there is the opportunity to realize the parametric process of gravitational wave generation with high frequency ωg = 2ω 0 due to combining...

The main optimal signal processing operation is shown to be the division of the energy estimates for the random processes observed in the adjacent time intervals. It is justified that this processing may be deemed the primary one and it is necessary to introduce the secondary processing - averaging the unbiased primary estimates of the effective no...

Significant increase in spectral resolution of acoustooptic filter due to spatial variation of refractive index of medium is shown. Influence of light absorption and random variation of dielectric constant on the filter spectrum is investigated.

The problem of the Bragg diffraction of light in a Fabry–Perot resonator formed by two periodical 'mirrors' is considered. A significant increase in the spectral resolution of the filter due to the spatial variation of the refractive index of the medium is shown. Complete elimination of sidelobes and a significant suppression of the 'tails' of a di...

A two-crystal high-transmission acousto-optic monochromator is developed and studied. The transmittance of the monochromator can substantially be increased and the scheme can be simplified using the reflection from a face of the acousto-optic cell as a separating polarizer. The intervals of parameters of acousto-optic interaction (angles and wavele...

A novel method for the reconstruction of disparity maps (DMs) with robust properties to nonideal registration conditions, reflections, and noise in stereo color image pairs has been substantiated for the first time. The novel approach proposes a scheme for image DM reconstruction where Jaccard distance metric is used as a proximity criterion in ste...

A novel method for the filtering of images corrupted by complex noise composed of randomly distributed impulses and additive Gaussian noise has been substantiated for the first time. The method consists of three main stages: the detection and filtering of pixels corrupted by impulsive noise, the subsequent image processing to suppress the additive...

The problem of Bragg diffraction of light in the Fabry-Perot resonator formed by two dynamic acousto-optic mirrors is considered. Significant increase in spectral resolution due to the spatial variation of the medium properties is shown.

A new method for coherent superbroadband sounding of a semitransparent substance with the aim to construct a three-dimensional image of its inner structure is proposed and justified. The method is based on irradiating the studied medium with a plane ray, spectral analysis by the two-dimensional Fresnel–Fourier transform, interferometric comparison...

A method for reconstructing the resolution of images, based on selection and optimization of significant local features and sparse representation of processed-image blocks (using optimized low- and high-resolution dictionaries), has been substantiated for the first time. This method, making it possible to improve significantly the resolution of ima...

In 2016 marks 45 years since the publication of the first papers on the theory of infinitely differentiable finite solutions of a functional differential equations so-called atomic functions (AF). The review presents a brief analysis of the publications, since the first ones until now. Both individual and scientific schools investigations are consi...

An optimum signal processing algorithm of radiometric imaging has been synthesized for the first time using multiantenna ultrawideband (UWB) radiometric complexes (RMCs). Radiometric images (RMI) are interpreted physically as intensity depending on the angular coordinates or the spectral radio brightness averaged in the operation frequency band. In...

The possibility of the effective use of metamaterials in acousto-optics is demonstrated. It is shown that photoelastic constants that determine a change in the dielectric constant of a heterogeneous medium under the action of a sound wave can significantly exceed the corresponding constants for conventional crystals. We have analysed the mechanisms...

Theoretical information confirming the existence of gravitational radiation, predicted by the general theory of relativity
The basic parameters of modern laser interferometers for the detection of gravitational waves are given. We present some experimental results. The publication was prepared on the basis of materials provided by the copyright col...

Original techniques of spectral optical analysis are presented. They are based on acoustically-generated dynamic Bragg gratings: unsteady, inhomogeneous, double space-split. They are capable of express-analyses of light radiation, light pulses transformation, optical signal differentiation, and imaging. This approach generates a new family of optic...

A novel approach, which makes it possible to realize the reconstruction of disparity maps for subsequent visualization of three-dimensional color images in real time, is proposed and substantiated.

The fourth part of the review is a continuation of the first three parts [1-3] and is devoted to the application of atomic and R-functions to locus description problems and the electromagnetic analysis of compound cross-section waveguides.

State-of-the-art acousto-optical (AO) spectral technologies are analyzed. The main types of existing devices and systems based on AO filters are described along with those now at the developmental stage. Original methods of measurement and analysis specific to spectral AO elements are discussed.

New constructions of weight functions (windows) based on the family of atomic functions are presented. Construction of weight functions consists of two steps. At first step basing on the properties of convolution iterated convolution of atomic functions is constructed. At the second step required weight function is defined by truncation of the func...

The amplification of surface acoustic waves
(SAWs) by a multilayer graphene (MLG)-based amplifier is studied. The conductivity of massless carriers (electrons or holes) in graphene in an external drift electric field is calculated using Boltzmann’s equation. At some carrier drift velocities, the real part of the variable conductivity becomes negati...

A new class of weight functions constructed on the basis of family of atomic functions and cha,n (x) and fupn (x) is proposed and substantiated. The study consists of three parts. In the first part, the definition of atomic functions and their convolutions are presented. In the second part, a definition of a new family of atomic functions cha,n (x)...

The second part of the review is devoted to the application of the WA-system of Kotel’nikov functions in various physical systems. The calculation algorithms based on wavelets are superior to the Fourier transforms owing to the local properties in both spatial and frequency domains, orthogonality, zero moments, and multiscale analysis of the former...

A contactless complete-field profilometer operating as an optical coherent microscope with the spectral recording is designed. Its special feature is that the spectral selection is carried out in the receiving channel. An acousto-optical image monochromator is used for this purpose. The experimental relief surface data are given.

A study was conducted to propose a filtering algorithms taking into account the inter-channel and inter-frame correlations in the video sequence (VS) based on a hybrid approach, which combined the methods of fuzzy logic theory and the adaptive filtering on the basis of estimates of local statistical properties in the color-VS frames. These algorith...

A study was conducted to demonstrate 3D visualization of real-time color video sequences based on processing in wavelet-transform (WT). The new approach proposed two schemes of reconstruction of 3D objects based on co-processing of the neighboring frames of a video sequence in a given color space. The proposed procedures were implemented on the bas...

The main physical applications of atomic, WA-systems, and R-functions are presented. The Whittaker-Kotelnikov-Shannon sampling theorem is generalized on the basis of atomic functions. Applications of atomic functions in the theory of probability and random processes, interpolation of stationary random processes with atomic functions, and a new clas...

The present paper is an extension of previous research related to the problem of the leader of lightning formation. It was introduced earlier that a homogenous charged media could become unstable under some initial conditions in [1], [4] in one dimensional case. We present here an investigation of such kind instability in two dimension case also.

The methods of smoothing of the bispectral density estimate when solving the problems of restoration of signals with an unknown shape in the interference environment and random signal delay are considered for the first time. The performed analysis of statistical characteristics of noise that presents in the bispectrum estimate shows that these stat...

Statistical optimization of the radiometric images (RMIs) algorithms formation in scanning radiometers with weight correction of the antenna amplitude-phase distribution and synchronous sliding strobing of the received noise-like signal by a function describing the antenna pattern corrected by temporal Kravchenko windows is performed for the first...

A new class of weight and WA-systems of the Kravchenko-Kaiser functions which showed its efficiency in various physical applications is proposed and substantiated. This publication consists of three parts. In the first the Kravchenko-Kaiser weight functions are constructed on basis of the theory of atomic functions (AFs) and the Kaiser windows for...

Using the concept of the search for the optimal signal parameter estimates and related to them parameters of electromagnetic and regression models of scattering and radio-thermal radiation of electromagnetic waves by various objects and natural medias on the basis of modern theory of statistical decisions and estimates of probability distribution p...

A new optical scheme for the microscopic investigation of biological objects is proposed, which combines principles of the optical-coherence and spectral microscopy. The proposed system is based on the acousto-optic filtration of images in the reception channel of a microinterferometer. A prototype of the instrument has been manufactured and it has...

The elastic and photo-elastic characteristics of four laser crystals KY(WO4)2, KGd(WO4)2, KYb(WO4)2, and KLu(WO4)2 are presented. The first pair was reported early, and the last two materials have been investigated for the first time. The full matrix of elastic constants of these monoclinic crystals has been determined. Also, acousto-optical figure...

In this study, the possibility to describe the signals scattered by various physical objects such as underlying surfaces of land and sea, the segments of “clear sky,” and processes of various physical natures, such as fluctuations of the refractive index of the troposphere and electromagnetic and acoustic radiation of a lithospheric nature, by encl...

A new analytical technique, named fragmentary spectrum registration
(FSR), with use of acousto-optical spectrometers (AOS's) is proposed and
studied. It is based on the method of differential optical absorption
spectroscopy (DOAS) and the unique AOS feature of fast (10 μs) random
spectral access (RSA). The technique is the most efficient for object...

A new approach based on the fuzzy-set theory is proposed, which allows detection of object motion from frame to frame of video sequences and filtering of images distorted by additive noise. New fuzzy rules and membership functions introduced in the study make it possible to perform efficient filtering of video sequences using the correlation betwee...

The maximum likelihood method is applied to obtain optimum estimates of the energy characteristics of a noise source and the direction of its radio-frequency radiation arrival in a two-element radio interferometer. Algorithms of optimum processing of noise signals are synthesized. The structural diagram of a radio interferometric device is presente...

A study was conducted to report the reasonability of introducing atomic functions and Kravchenko weight windows to the algorithm of modified aperture synthesis (MAS). This novel method for processing space-time signals in synthesized-aperture radars (SARs) was proposed. The employment of this weight processing significantly improved the form of the...

A study was conducted to demonstrate the construction and investigation of the physical properties of novel Kravchenko-Nuttall (K-N) wavelets. The Kravchenko-Rvachev (K-R) weight functions were used specifically along with different weight functions to conduct the investigations. Wavelets on basis of the atomic-function (AF) were extensively widely...

The problem of statistically synthesizing algorithms of optimal stochastic signal processing was solved. The solution of the problem was obtained by rigorous methods of statistical solutions and estimates for parameters of probabilistic distributions. The solution obtained relates to a small size source of radiothermal radiation and estimates of it...

A study was conducted to demonstrate statistical synthesis of chopper radiometric systems. The problem of statistical synthesis of chopper radiometric systems with unstable pre-detection section of receiver was solved for the first time and a new technique of estimating the fluctuation sensitivity (FS) was proposed. The obtained solutions indicated...

The complete elastic modulus matrix of a KY(WO4)2 single crystal has been determined for the first time using sound velocities measured in different directions of the crystal by a pulse-echo method. We have studied the entire isotropic part of the elasto-optic modulus matrix of KY(WO4)2 and identified high acousto-optic coupling efficiency directio...

The elastic and photoelastic properties of a potassium–gadolinium tungstate KGd(WO4)2 crystal are determined. A complete matrix of elastic constants for the material is obtained for the first time and the velocity diagrams in the five most practically important planes are constructed on its basis. The coefficients of acoustooptic quality M2 are mea...

New low- and high-frequency digital filters, which relies on atomic functions and have good frequency-time properties and rapid convergence, have been proposed. Their efficiency is investigated via digital signal processing as applied to the problem of interferometry and synthesis in radio astronomy.

A method that based on two-dimensional (2D) video sequences and employs the multilevel decomposition of wavelets and visualizes three-dimensional (3D) image video sequences in real-time mode is proposed. The method employs reconstructions of images with subsequent 3D visualization and includes the separation of a color image over RGB components. Th...

Nonparametric estimates of the probability density and its derivatives are considered on the basis of the theory of atomic functions (AF). New constructions of weight functions (WF) with compact support are proposed and substantiated that allow building admissible estimates of both the probability density in itself and its first and second derivati...

The analytical two-dimensional WA systems of Kravchenko-Rvachev functions and their physical properties were presented. It is required to construct the function ω (x1,x2) positive inside Ω, negative outside Ω, and equal to zero at δΩ. The construction of 2DWA KR functions consists of several stages. The first stage involves the locus of the referen...

The results of developing a gas-analyzing acousto-optical system intended for measuring the content of polluting substances
in the atmosphere and based on the use of tunable acousto-optical filters are presented. The instrument allows simultaneous
detection of up to ten substances.

The use of complex WA-systems of Kravchenko functions for the analysis and processing of time series is studied. A typical feature of the wavelet transform basis is its self similarity, as all the basis functions are obtained by scaling transformations and shifts of the same initial wavelet. A wavelet function should possess the characteristics con...

The effect of absorption on different designs of the interferometers of laser gravitational antennas for detection of gravitational
waves is analyzed. It is shown that, for small values of absorption, the sensitivity of the Mach-Zehnder interferometer is
higher than the sensitivity of the Michelson interferometer. A structure with continuous variat...

pThe stability of a fluid or gas flow along channels of a periodic cross section is of interest practically as well as scientifically due to the wide use of various pipelines (sylphons) in practice. The authors know of no mathematical investigation of this problem, most likely because of its relative mathematical complexity. We consider a flow in t...

1. Based on the ideas described in [1‐6], we substantiate and propose an approach to attain a method of impulsive-noise suppression. This approach makes it possible to reconstruct image contours and image fine details. For comparison with the method proposed, other well-known algorithms were analyzed. We imply the AMNF and AMNF2 filters [3], and al...

A study was conducted, to propose original algorithms of three-dimensional (3D) space-time filtration. The algorithms were based on the theory of fuzzy sets, which represent a new class of nonlinear filters, used for eliminating the effect of additive noise in video images. The proposed algorithms use the value of multi-channel pixels and angular d...

A review of modern spectral techniques and instruments using acousto-optical tunable filters (AOTF) is presented. New approaches for spectrometers and spectral systems development are considered. The following instruments are described: a series of compact spectrometers and spectrophotometers of ultra-violet, visible, and infra-red ranges for Raman...

Tailoring the transmission function of acousto-optical tunable filters (AOTF) via acoustic waves control is one of the most challenging tasks, which is promising for optical spectroscopy applications. In our early work it was theoretically predicted and experimentally demonstrated that collinear AOTF with fast periodic phase manipulation exhibits d...

Possibility of application of optical differential spectrometers based on phase-modulated acousto-optical tunable filters (AOTF) in fluorescence spectroscopy, in particular, for photoluminescence cancer diagnostic, is considered. Characteristics of detection being developed are presented as well as first results of spectral measurements.

A novel class of Kravchenko-Kotel'nikov analytical wavelets in digital signal processing based on both the atomic-function (AF) theory and results is proposed. Theorems determining the conditions for which a signal can be accurately reconstructed according to discrete readings are called reading theorems. The Kotel'nikov theorem characterizes the u...

A theoretical analysis is given of the possibility of using coupled acoustoplasma waves in the amplification of electric signals. It is shown that in such waves the electric energy is comparable with the elastic energy. Equations fox slowly varying amplitudes are derived and analyzed. The Weinreich relationship is generalized to the average force e...

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