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Shestopalov, Yuryorcid.org/0000-0002-2691-2820

Open this publication in new window or tab >>Numerical simulation of the planar waveguide### Shestopalov, Yury

### Smolkin, Eugene

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_0_j_idt208_some",{id:"formSmash:j_idt204:0:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_0_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_0_j_idt208_otherAuthors",{id:"formSmash:j_idt204:0:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_0_j_idt208_otherAuthors",multiple:true}); 2023 (English)In: 2023 International Conference on Electromagnetics in Advanced Applications (ICEAA), IEEE , 2023Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Place, publisher, year, edition, pages

IEEE, 2023
##### National Category

Electrical Engineering, Electronic Engineering, Information Engineering
##### Identifiers

urn:nbn:se:hig:diva-43212 (URN)10.1109/iceaa57318.2023.10297899 (DOI)2-s2.0-85178249469 (Scopus ID)979-8-3503-2059-6 (ISBN)979-8-3503-2058-9 (ISBN)
##### Conference

2023 International Conference on Electromagnetics in Advanced Applications (ICEAA), Venice, Italy, 9-13 October 2023
#####

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Available from: 2023-11-05 Created: 2023-11-05 Last updated: 2024-01-31Bibliographically approved

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.

The paper is devoted to the analysis of the TE-wave propagation in a planar waveguide with variable permittivity. The setting is reduced to a transmission eigenvalue problem for an ordinary differential equation where the spectral parameter is the wave propagation constant. For the computation of eigenvalues the shooting method is applied in the form specifically developed for this class of problems. The method allows one to calculate propagating, evanescent, and complex surface and leaky waves. A variety of numerical results illustrating the method is presented.

Open this publication in new window or tab >>On a Scientific Heritage of Victor P. Shestopalov: Critical Points of Dispersion Equations and the Theory of Intertype Interaction### Shestopalov, Yury

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_1_j_idt208_some",{id:"formSmash:j_idt204:1:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_1_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_1_j_idt208_otherAuthors",{id:"formSmash:j_idt204:1:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_1_j_idt208_otherAuthors",multiple:true}); 2023 (English)In: International Conference on Electromagnetics in Advanced Applications (ICEAA), IEEE , 2023, p. 84-89Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Place, publisher, year, edition, pages

IEEE, 2023
##### National Category

Electrical Engineering, Electronic Engineering, Information Engineering
##### Identifiers

urn:nbn:se:hig:diva-43211 (URN)10.1109/iceaa57318.2023.10297789 (DOI)2-s2.0-85178521327 (Scopus ID)979-8-3503-2059-6 (ISBN)979-8-3503-2058-9 (ISBN)
##### Conference

2023 International Conference on Electromagnetics in Advanced Applications (ICEAA), Venice, Italy, 9-13 October 2023
#####

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Available from: 2023-11-05 Created: 2023-11-05 Last updated: 2024-01-31Bibliographically approved

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.

A brief survey is given of the most valuable contributions of Victor P. Shestopalov to electromagnetics and diffraction theory related to the application of the spectral theory of operator-valued functions. A particular attention is paid to the creation of the theory of intertype interaction of oscillations and waves in open structures on the basis of analysis of critical points of abstract dispersion equations. Contributions to the theory made by other researchers are reported.

Open this publication in new window or tab >>Optimization of reservoir waterflooding with unstable displacement front### Shakhverdiev, A.Kh.

### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.### Mandrik, I.E.

### Arefyev, S.V.

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_2_j_idt208_some",{id:"formSmash:j_idt204:2:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_2_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_2_j_idt208_otherAuthors",{id:"formSmash:j_idt204:2:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_2_j_idt208_otherAuthors",multiple:true}); 2023 (English)In: ANAS Transactions, Earth Sciences, ISSN 2218-8754, no 2, p. 64-78Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

Azerbaijan National Academy of Sciences, 2023
##### Keywords

catastrophe theory; fingering; instability of displacement front; optimization; phase plane; waterflooding
##### National Category

Geosciences, Multidisciplinary
##### Identifiers

urn:nbn:se:hig:diva-43504 (URN)10.33677/ggianas20230200103 (DOI)2-s2.0-85180323988 (Scopus ID)
#####

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Available from: 2024-01-02 Created: 2024-01-02 Last updated: 2024-01-31Bibliographically approved

Russian State Geological Prospecting University, Russia.

PJSC LUKOIL Russia.

LUKOIL‐Western Siberia LLC, Russia.

Non-stationary flooding of oil-saturated reservoirs has a long-standing and durable place as the main secondary method of oil production and maintenance of reservoir pressure in the development of most oil reservoirs. The water injection into the reservoir creates a delayed problem - the inevitable, often catastrophic flooding of oil production wells, provoked by a sudden and irreversible change in water saturation. The theory of two-phase flow filtration created by Buckley and Leverett does not take into account the loss of stability of the displacement front, which provokes an abrupt change and a triplicity of the water saturation value. Therefore, a mathematically simplified approach was proposed at one time, a repeatedly differentiable approximation to exclude a “jump” in water saturation. Such a simplified solution led to well-known negative consequences of the waterflooding practice, which experts call the “viscous instability of the displacement front”, the “fingering displacement front”. This work has presented a novel approach to formulation decisive rules for the first time allowing timely detection and prevention of the consequences of loss of stability of the displacement front and targeted control of the flooding system by stopping, forcing, limiting operating modes, assigning workover solutions of producing and injection wells. It is possible to quickly solve important short-term practical tasks passing traditional labor- intensive incorrect deterministic tasks and complex methods of solution mobilizing the injected water and controlling the fluid production rate, more precisely water and oil on the basis of the discriminant criterion.

Open this publication in new window or tab >>Perfectly conducting cylinder covered by two layers of dielectric separated by an infinitely thin impedance layer: multiple suppression of the scattered field harmonics (rigorous approach)### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.### Matekovits, Ladislau

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_3_j_idt208_some",{id:"formSmash:j_idt204:3:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_3_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_3_j_idt208_otherAuthors",{id:"formSmash:j_idt204:3:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_3_j_idt208_otherAuthors",multiple:true}); 2023 (English)In: Optics Express, E-ISSN 1094-4087, Vol. 31, no 5, p. 7863-7886Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

Optica, 2023
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:hig:diva-41144 (URN)10.1364/oe.473217 (DOI)000944646800005 ()2-s2.0-85149130459 (Scopus ID)
#####

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Available from: 2023-03-13 Created: 2023-03-13 Last updated: 2023-04-02Bibliographically approved

Politecnico di Torino, Turin; Politehnica University Timisoara; Istituto di Elettronica e di Ingegneria dell’Informazione e delle Telecomunicazioni.

We propose and develop a novel rigorous technique that enables one to obtain the explicit numerical values of parameters at which several lowest-order harmonics of the scattered field are suppressed. This provides partial cloaking of the object, a perfectly conducting cylinder of circular cross section covered by two layers of dielectric separated by an infinitely thin impedance layer, a two-layer impedance Goubau line (GL). The developed approach is a rigorous method that enables one to obtain in the closed form (and without numerical calculations) the values of parameters providing the cloaking effect, achieved particularly in terms of the suppression of several scattered field harmonics and variation of the sheet impedance. This issue constitutes the novelty of the accomplished study. The elaborated technique could be applied to validate the results obtained by commercial solvers with virtually no limitations on the parameter ranges, i.e., use it as a benchmark. The determination of the cloaking parameters is straightforward and does not require computations. We perform comprehensive visualization and analysis of the achieved partial cloaking. The developed parameter-continuation technique enables one to increase the number of the suppressed scattered-field harmonics by appropriate choice of the impedance. The method can be extended to any dielectric-layered impedance structures possessing circular or planar symmetry.

Open this publication in new window or tab >>Resonance frequencies of arbitrarily shaped dielectric cylinders### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_4_j_idt208_some",{id:"formSmash:j_idt204:4:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_4_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_4_j_idt208_otherAuthors",{id:"formSmash:j_idt204:4:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_4_j_idt208_otherAuthors",multiple:true}); 2023 (English)In: Applicable Analysis, ISSN 0003-6811, E-ISSN 1563-504X, Vol. 102, no 6, p. 1618-1632Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

Taylor & Francis, 2023
##### Keywords

Resonance frequencies; boundary integral equations; operator-valued functions; finite-meromorphic pole pencils
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:hig:diva-37170 (URN)10.1080/00036811.2021.1992397 (DOI)000707609900001 ()2-s2.0-85117192532 (Scopus ID)
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Available from: 2021-10-15 Created: 2021-10-15 Last updated: 2023-06-16Bibliographically approved

We consider eigenvalue problems for dielectric cylindrical scatterers of arbitrary cross section with generalized conditions at infinity that enable one to take into account complex eigenvalues. The existence of resonance (scattering) frequencies associated with these eigenvalues is proved. The technique involves the determination of characteristic numbers (CNs) of the Fredholm operator-valued functions of the problems constructed using Green's potentials. Separating principal parts in the form of meromorphic operator pencils, we apply the operator generalization of Rouché's theorem to verify the occurrence of CNs in close proximities of the pencil poles. The results are illustrated in detail using the case of a dielectric cylinder of circular cross section.

Open this publication in new window or tab >>TE-Polarized Electromagnetic Wave Diffraction by a Circular Slotted Cylinder### Abgaryan, Garnik V.

### Shestopalov, Yury

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_5_j_idt208_some",{id:"formSmash:j_idt204:5:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_5_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_5_j_idt208_otherAuthors",{id:"formSmash:j_idt204:5:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_5_j_idt208_otherAuthors",multiple:true}); 2023 (English)In: Mathematics, E-ISSN 2227-7390, Vol. 11, no 9, article id 1991Article in journal (Refereed) Published
##### Abstract [en]

##### Place, publisher, year, edition, pages

MDPI, 2023
##### Keywords

slot resonator; diffraction problem; Helmholtz equation; Fredholm property; infinite linear algebraic equation system
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:hig:diva-41881 (URN)10.3390/math11091991 (DOI)000986849100001 ()2-s2.0-85159218097 (Scopus ID)
#####

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Available from: 2023-05-26 Created: 2023-05-26 Last updated: 2023-05-29Bibliographically approved

Department of Applied Mathematics and Artificial Intelligence, Institute of Computational Mathematics and Information Technology, Kazan Federal University, Kremlevskaya Street 35, Kazan 420008, Russia.

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics. Russian Technological University MIREA, Moscow 119454, Russia.

The problem of diffraction of a TE-polarized electromagnetic wave by a circular slotted cylinder is investigated. The boundary value problem in question for the Helmholtz equation is reduced to an infinite system of linear algebraic equations of the second kind (SLAE-II) using integral summation identities (ISI). A detailed study of the matrix operator of the problem is performed and its Fredholm property in the weighted Hilbert space of infinite sequences is proven. The convergence of the truncation method constructed in the paper for the numerical solution of SLAE-II is justified and the results of computations are presented and discussed, specifically considering the determination of resonance modes.

Open this publication in new window or tab >>Application of Parametric Fourier Series to the Analysis of Partial Invisibility and Resonance Scattering by Canonical Structures### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_6_j_idt208_some",{id:"formSmash:j_idt204:6:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_6_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_6_j_idt208_otherAuthors",{id:"formSmash:j_idt204:6:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_6_j_idt208_otherAuthors",multiple:true}); 2022 (English)In: 2022 International Conference on Electromagnetics in Advanced Applications (ICEAA), IEEE , 2022, p. 47-50Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Place, publisher, year, edition, pages

IEEE, 2022
##### National Category

Electrical Engineering, Electronic Engineering, Information Engineering
##### Identifiers

urn:nbn:se:hig:diva-40056 (URN)10.1109/iceaa49419.2022.9900058 (DOI)2-s2.0-85141011479 (Scopus ID)978-1-6654-8112-0 (ISBN)978-1-6654-8111-3 (ISBN)
##### Conference

2022 International Conference on Electromagnetics in Advanced Applications (ICEAA), 5-9 September 2022, Cape Town, South Africa
#####

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Available from: 2022-10-03 Created: 2022-10-03 Last updated: 2022-12-01Bibliographically approved

The method of parametric Fourier series is applied to the study of the scattered-field expansion coefficients. It is shown how to determine in the closed form the parameter sets at which partial invisibility and cloaking are possible for radial-symmetric layered-dielectric cylindrical structures, like a homogeneous dielectric rod or the Goubau line, caused by the elimination of several scattered-field harmonics.

Open this publication in new window or tab >>Conclusion### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.### Smirnov, Yury

### Smolkin, Eugene

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_7_j_idt208_some",{id:"formSmash:j_idt204:7:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_7_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_7_j_idt208_otherAuthors",{id:"formSmash:j_idt204:7:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_7_j_idt208_otherAuthors",multiple:true}); 2022 (English)In: Optical Waveguide Theory, Springer , 2022, p. 259-260Chapter in book (Refereed)
##### Abstract [en]

##### Place, publisher, year, edition, pages

Springer, 2022
##### Series

Springer Series in Optical Sciences, ISSN 0342-4111 ; 237
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:hig:diva-38414 (URN)10.1007/978-981-19-0584-1_6 (DOI)2-s2.0-85127909728 (Scopus ID)978-981-19-0583-4 (ISBN)978-981-19-0584-1 (ISBN)
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Available from: 2022-04-19 Created: 2022-04-19 Last updated: 2022-09-15Bibliographically approved

Penza State University, Penza, Russian Federation.

Penza State University, Penza, Russian Federation.

The book deals with the problems of the electromagnetic wave propagation in a wide class of waveguide structures: from planar waveguides to waveguides of arbitrary cross section (including the shielded ones). The settings for the Maxwell are reduced to boundary eigenvalue problems for the longitudinal components of the electromagnetic field in Sobolev spaces using a universal approach applicable to all the considered waveguide families. To determine and analyze the solution, variational formulations are used and the problems are reduced to the study of the spectra of OVF; many of them are polynomial operator pencils. The discreteness of the eigenwave spectra is proved and the distribution of characteristic numbers on the complex plane is described.

Open this publication in new window or tab >>On a Nature of ‘Real-Valued’ Resonances in Open Structures### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_8_j_idt208_some",{id:"formSmash:j_idt204:8:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_8_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_8_j_idt208_otherAuthors",{id:"formSmash:j_idt204:8:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_8_j_idt208_otherAuthors",multiple:true}); 2022 (English)In: 2022 International Conference on Electromagnetics in Advanced Applications (ICEAA), IEEE , 2022, p. 174-Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Place, publisher, year, edition, pages

IEEE, 2022
##### National Category

Electrical Engineering, Electronic Engineering, Information Engineering
##### Identifiers

urn:nbn:se:hig:diva-40054 (URN)10.1109/iceaa49419.2022.9899931 (DOI)2-s2.0-85141011587 (Scopus ID)978-1-6654-8112-0 (ISBN)978-1-6654-8111-3 (ISBN)
##### Conference

2022 International Conference on Electromagnetics in Advanced Applications (ICEAA), 5-9 September 2022, Cape Town, South Africa
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Available from: 2022-10-03 Created: 2022-10-03 Last updated: 2022-12-01Bibliographically approved

The key issue of the study is extension of the technique set forth in [1–3] to clarify and justify the nature of resonance phenomena observed for cylindrical open structures at real frequencies. When the plane electromagnetic wave diffraction by an open layered-dielectric scatterer possessing radial symmetry is considered and the corresponding boundary-value problem is solvable in cylindrical coordinates using separation of variables, the solution is represented as series in outgoing harmonics where the expansion coefficients are determined explicitly [1, 2] and in the form which enables one to calculate simultaneously the parameter sets when (i) a certain quantity of the principal expansion terms vanish and (ii) individual expansion coefficients have singularities (the latter yields resonances of the considered open structure). This fact paves the way to apply the analysis of multi-parameter Fourier series to the study of the scattered-field expansion coefficients and to determine the parameter values at which not only the partial invisibility and cloaking take place (caused by the suppression of the scattered-field harmonics), but also other well-known resonance phenomena.

Open this publication in new window or tab >>Open Waveguides of Arbitrary Cross Section### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electrical Engineering, Mathematics and Science, Mathematics.### Smirnov, Yury

### Smolkin, Eugene

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_9_j_idt208_some",{id:"formSmash:j_idt204:9:j_idt208:some",widgetVar:"widget_formSmash_j_idt204_9_j_idt208_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt204_9_j_idt208_otherAuthors",{id:"formSmash:j_idt204:9:j_idt208:otherAuthors",widgetVar:"widget_formSmash_j_idt204_9_j_idt208_otherAuthors",multiple:true}); 2022 (English)In: Optical Waveguide Theory, Springer , 2022, p. 221-258Chapter in book (Refereed)
##### Abstract [en]

##### Place, publisher, year, edition, pages

Springer, 2022
##### Series

Springer Series in Optical Sciences, ISSN 0342-4111 ; 237
##### Keywords

Dispersion equation, Electromagnetic wave, Maxwell equations, Open waveguides, Operator pencils, Operator-valued function
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:hig:diva-38418 (URN)10.1007/978-981-19-0584-1_5 (DOI)2-s2.0-85127840368 (Scopus ID)978-981-19-0583-4 (ISBN)978-981-19-0584-1 (ISBN)
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Available from: 2022-04-19 Created: 2022-04-19 Last updated: 2022-09-15Bibliographically approved

Penza State University, Penza, Russian Federation.

Penza State University, Penza, Russian Federation.

Analysis of the wave propagation in open metal-dielectric waveguides constitutes an important class of vector electromagnetic problems. In the case of hollow shielded waveguides (filled with homogeneous dielectric) the spectral parameter enters the equations and not the transmission conditions, ending up with an eigenvalue problem for a self-adjoint operator. However, a general setting for a metal-dielectric waveguide yields non-self-adjoint boundary eigenvalue problems for the systems of Helmholtz equations with piecewise constant coefficients, the transmission conditions, and the conditions at infinity containing the spectral parameter; the transmission conditions are stated on the discontinuity lines (surfaces) of the permittivity and the resulting problem becomes non-self-adjoint.