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Shestopalov, Yury

Open this publication in new window or tab >>A nonlinear multiparameter EV problem### Angermann, L.

### Shestopalov, Yury V.

### Smirnov, Y. G.

### Yatsyk, V. V.

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_some",{id:"formSmash:j_idt184:0:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_otherAuthors",{id:"formSmash:j_idt184:0:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_otherAuthors",multiple:true}); 2018 (English)In: Progress In Electromagnetics Research Symposium: PIERS 2017, PIERS 2017: Nonlinear and Inverse Problems in Electromagnetics / [ed] Beilina L., Smirnov Y., Springer New York LLC , 2018, p. 55-70Conference paper, Published paper (Refereed)
##### Abstract [en]

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

Springer New York LLC, 2018
##### Series

Springer Proceedings in Mathematics & Statistics (PROMS) ; 243
##### Keywords

Dispersion equations, Multi-parameter eigenvalue problems, Nonlinear spectral theory, Dispersion (waves), Integral equations, Inverse problems, Mathematical operators, Nonlinear equations, Wave propagation, Eigenvalue problem, Eigenvalues, Integral equation approaches, Multiparameters, Non-linear media, Nonlinear operator, Spectral theory, Eigenvalues and eigenfunctions
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:hig:diva-27866 (URN)10.1007/978-3-319-94060-1_5 (DOI)2-s2.0-85051146418 (Scopus ID)9783319940595 (ISBN)978-3-319-94060-1 (ISBN)
##### Conference

PIERS 2017
#####

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Available from: 2018-09-06 Created: 2018-09-06 Last updated: 2018-09-06Bibliographically approved

Institut für MathematikTechnische Universität Clausthal, Clausthal-Zellerfeld, Germany.

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.

Department of Mathematics and Supercomputing, Penza State University, Penza, Russia.

O.Ya. Usikov Institute for Radiophysics and Electronics, National Academy of Sciences of Ukraine, Kharkiv, Ukraine.

We investigate a generalization of one-parameter eigenvalue problems arising in the theory of wave propagation in waveguides filled with nonlinear media to more general nonlinear multi-parameter eigenvalue problems for a nonlinear operator. Using an integral equation approach, we derive functional dispersion equations (DEs) whose roots yield the desired eigenvalues. The existence of the roots of DEs is proved and their distribution is described.

Open this publication in new window or tab >>Complex waves in a dielectric waveguide### Shestopalov, Yury

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_some",{id:"formSmash:j_idt184:1:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_otherAuthors",{id:"formSmash:j_idt184:1:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_otherAuthors",multiple:true}); 2018 (English)In: Wave motion, ISSN 0165-2125, E-ISSN 1878-433X, Vol. 82, p. 16-19Article in journal (Refereed) Published
##### Abstract [en]

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

Elsevier, 2018
##### Keywords

Complex wave, Dielectric waveguide, Dispersion equation, Surface wave, Eigenvalues and eigenfunctions, Surface waves, Circular cross-sections, Complex waves, Dispersion equations, Eigenvalues, Half-line, Liouville problem, Symmetric complexes, Dielectric waveguides, complexity, dielectric property, eigenvalue, symmetry, wave dispersion
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:hig:diva-27648 (URN)10.1016/j.wavemoti.2018.07.005 (DOI)000444790500002 ()2-s2.0-85050078848 (Scopus ID)
#####

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Available from: 2018-08-15 Created: 2018-08-15 Last updated: 2018-10-15Bibliographically approved

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.

Existence of two families of symmetric complex waves in a dielectric waveguide of circular cross section is proved. Eigenvalues of the associated Sturm–Liouville problem on the half-line are determined.

Open this publication in new window or tab >>Complex Waves in Multi-Layered Metal-Dielectric Waveguides### Kuzmina, E. A.

### Shestopalov, Yury

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_some",{id:"formSmash:j_idt184:2:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_otherAuthors",{id:"formSmash:j_idt184:2:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_otherAuthors",multiple:true}); 2018 (English)In: Proceedings of the 2018 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2018, p. 122-125, article id 8520457Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Keywords

Dielectrics, Surface waves, Permittivity, Propagation constant, Media, Task analysis, Metals
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:hig:diva-28683 (URN)10.1109/ICEAA.2018.8520457 (DOI)2-s2.0-85057429240 (Scopus ID)978-1-5386-6763-7 (ISBN)978-1-5386-6762-0 (ISBN)978-1-5386-6761-3 (ISBN)
##### Conference

2018 International Conference on Electromagnetics in Advanced Applications (ICEAA), 10-14 September 2018, Cartagena des Indias, Colombia
#####

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Available from: 2018-11-27 Created: 2018-11-27 Last updated: 2018-12-10Bibliographically approved

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.

We consider normal waves in multi-layered dielectric rod and Goubau line that are basic types of open metal-dielectric waveguides. The dispersion equations are analyzed using the notion of generalized cylindrical polynomials and methods of calculating determinants of block-diagonal matrices. Suﬃcient conditions of the existence of symmetric waves are established.

Open this publication in new window or tab >>Creating Two-Dimensional Images of Objects with High Angular Resolution### Lagovsky, B. A.

### Samokhin, A. B.

### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_some",{id:"formSmash:j_idt184:3:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_otherAuthors",{id:"formSmash:j_idt184:3:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_otherAuthors",multiple:true}); 2018 (English)In: Proceedings of 2018 IEEE Asia-Pacific Conference on Antennas and Propagation (APCAP), 2018, p. 114-115Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Keywords

Signal resolution, Image resolution, Image reconstruction, Conferences, Integral equations, Antenna arrays, Solids, angular resolution, Rayleigh criterion, superresolution, two-dimensional linear integral equation
##### National Category

Other Mathematics Electrical Engineering, Electronic Engineering, Information Engineering
##### Identifiers

urn:nbn:se:hig:diva-28697 (URN)10.1109/APCAP.2018.8538220 (DOI)978-1-5386-5649-5 (ISBN)978-1-5386-5648-8 (ISBN)978-1-5386-5647-1 (ISBN)
##### Conference

2018 IEEE Asia-Pacific Conference on Antennas and Propagation (APCAP), 5-8 August 2018, Auckland, New Zealand
#####

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Available from: 2018-11-28 Created: 2018-11-28 Last updated: 2018-11-28Bibliographically approved

Deptartment of Applied Mathematics, Moscow Technological University, Moscow, Russian Federation.

Deptartment of Applied Mathematics, Moscow Technological University, Moscow, Russian Federation.

A new method of digital radar signal processing for remote sensing is proposed. The technique allows one to obtain two-dimensional images of objects with super resolution. The method is based on solving a convolution-type two- dimensional linear integral equation of the first kind by algebraic methods.

Open this publication in new window or tab >>Development of Numerical Techniques for Forward and Inverse Waveguide Scattering Problems### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.### Sheina, Elena

### Smirnov, Alexander

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_some",{id:"formSmash:j_idt184:4:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_otherAuthors",{id:"formSmash:j_idt184:4:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_otherAuthors",multiple:true}); 2018 (English)Conference paper, Published paper (Refereed)
##### Abstract [en]

##### National Category

Mathematics Other Engineering and Technologies
##### Identifiers

urn:nbn:se:hig:diva-28319 (URN)
##### Conference

AT-RASC 2018, 2nd URSI Atlantic Radio Science Meeting,28 May - 1 June 2018, Gran Canaria,Spain
#####

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Available from: 2018-10-15 Created: 2018-10-15 Last updated: 2018-12-03Bibliographically approved

M. V. Lomonosov Moscow State University, Moscow, Russia.

M. V. Lomonosov Moscow State University, Moscow, Russia.

Development of the methods and algorithms [1, 2] are considered for the numerical solution to the forward problem of the electromagnetic wave scattering by inhomogeneous dielectric inclusions in a waveguide of rectangular cross section and inverse problem of reconstructing parameters of the dielectric inclusions from the values of the transmission coefficient of the scattered electromagnetic wave. The codes are developed implementing an FDTD method that employs the PML-layer technique. Numerical modeling and simulations are performed for the analysis of the wave propagation in waveguides of rectangular cross section loaded with parallel-plane layered media (layered dielectric diaphragms) and such diaphragms containing cubic dielectric inclusions. Validation is carried out of the results of calculations using closed-form solution [3] to the canonical single-layer structure.

Progress in analytical - numerical investigations of the solutions to the forward and inverse waveguide problems are largely based on a recent discovery [4] of the singularities and extrema in the complex domain of the transmission coefficient of layered dielectric diaphragms. In fact, the knowledge of the location of singularity and extrema sets of the scattering matrix allows one to justify correct determination of real or complex permittivity of each layer of the diaphragm by specifying domains in the complex plane where the transmission coefficientis one-to-one; that is, the domains that do not contain singularities and where unique permittivity reconstruction is therefore possible. Forthe forward problem of the scattering of a normal waveguide mode by a single-and three-layer diaphragms with a dielectric cube, it is shown [1, 2] that variation in the values of the transmission coefficient can be up to two orders of magnitude less than that of the permittivity of the inclusion. Taking into account this result and the presence of singularities, improvements are proposed of the numerical method, algorithms and codes implementing the calculations. The results of modeling and computations are validated by comparing with experimental and measurement data [3]. The requirements are formulated that should be imposed on the accuracy of computations and measurements necessary to reconstruct numerically permittivity of the inclusion from the amplitude and phase of the transmitted wave with the prescribed accuracy.

1. E. Sheina, A. Smirnov,Y. Shestopalov,and M.Ufimtsev,“FDTD solution of reconstructing permittivity of a dielectric inclusion in a waveguide taking into account measurement inaccuracy,”Progress in Electromagnetics Research Symposium (PIERS),St Petersburg, Russia, 2017, pp. 3188-3195, doi:10.1109/PIERS.2017.8262306.

2.E. Sheina, A. Smirnov, and Y. Shestopalov, “Influence of standing waves on the solution of the inverse problem ofreconstructing parameters of a dielectric inclusion in a waveguide,”URSI Int. Symposium on Electromagnetic Theory (EMTS), Espoo, Finland, 2016,pp. 643-646, doi:10.1109/URSI-EMTS.2016.7571479.

3. Yu. G. Smirnov, Yu. V. Shestopalov, and E. D. Derevyanchuk, “Inverse problem method for complex permittivity reconstruction of layered media in a rectangular waveguide,”Physica Status Solidi(C), 11,5-6, 2014,pp. 969–974, doi:10.1002/pssc.201300697.

4. Y. Shestopalov, “Resonant states in waveguide transmission problems,”PIER B,64: pp.119-143, 2015, doi: 10.2528/PIERB15083001.

Open this publication in new window or tab >>Discretization Methods for Three-Dimensional Singular Integral Equations of Electromagnetism### Samokhin, Alexander

### Samokhina, Anna

### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_some",{id:"formSmash:j_idt184:5:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_otherAuthors",{id:"formSmash:j_idt184:5:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_otherAuthors",multiple:true}); 2018 (English)In: Differential equations, ISSN 0012-2661, E-ISSN 1608-3083, Vol. 54, no 9, p. 1225-1235Article in journal (Refereed) Published
##### Abstract [en]

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

Springer Berlin/Heidelberg, 2018
##### Keywords

Linear operator equations, volume singular integral equations, iterations, dielectric bodies
##### National Category

Computational Mathematics
##### Identifiers

urn:nbn:se:hig:diva-27910 (URN)10.1134/S0012266118090100 (DOI)000448479100010 ()2-s2.0-85054637275 (Scopus ID)
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##### Note

Moscow Technical University MIREA, Moscow, Russia.

Trapeznikov Institute of Control Sciences of the Russian Academy of Sciences, Moscow, Russia.

Theorems providing the convergence of approximate solutions of linear operator equations to the solution of the original equation are proved. The obtained theorems are used to rigorously mathematically justify the possibility of numerical solution of the 3D singular integral equations of electromagnetism by the Galerkin method and the collocation method.

Funding:

Ministry of Education and Science of the Russian Federation grant no: 2.1361.2017/4.6

Available from: 2018-09-17 Created: 2018-09-17 Last updated: 2018-11-27Bibliographically approvedOpen this publication in new window or tab >>How to overcome nonuniqueness of permittivity reconstruction in inverse waveguide problems### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_some",{id:"formSmash:j_idt184:6:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_otherAuthors",{id:"formSmash:j_idt184:6:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_otherAuthors",multiple:true}); 2018 (English)Conference paper, Published paper (Refereed)
##### Place, publisher, year, edition, pages

Moscow: , 2018
##### National Category

Computational Mathematics
##### Identifiers

urn:nbn:se:hig:diva-28729 (URN)978-5-209-09134-9 (ISBN)
##### Conference

5th International Conference on 'Functional Spaces, Differential Operators, Problems of Mathematical Education', 26-29 November 2018, Moscow, Russia
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Available from: 2018-11-30 Created: 2018-11-30 Last updated: 2018-12-03Bibliographically approved

Open this publication in new window or tab >>Increasing the Range of UWB Radars### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.### Samokhin, Alexander

### Lagovsky, Boris

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_some",{id:"formSmash:j_idt184:7:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_otherAuthors",{id:"formSmash:j_idt184:7:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_otherAuthors",multiple:true}); 2018 (English)In: IET Conference Publications 2018, Piscataway, New Jersey, USA: IEEE, 2018, Vol. CP741, article id 1570403971Conference paper, Published paper (Refereed)
##### Abstract [en]

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

Piscataway, New Jersey, USA: IEEE, 2018
##### Series

IET Conference Publications ; CP741
##### Keywords

Antenna array, UWB signals, mutual coupling, dispersion properties of antenna gain and radiation pattern
##### National Category

Computational Mathematics
##### Identifiers

urn:nbn:se:hig:diva-28591 (URN)2-s2.0-85057314605 (Scopus ID)
##### Conference

2018 12th European Conference on Antennas and Propagation (EUCAP), 9-13 April 2018, London, UK
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Available from: 2018-11-22 Created: 2018-11-22 Last updated: 2019-01-07Bibliographically approved

Russian Technological University MIREA.

Russian Technological University MIREA.

The use of UWB radars makes it possible to detect, recognize, and carry out measurements of coordinate and velocities of hardly noticeable radar targets. The variational problems of searching for the maximum range of UWB-radar operation using optimization of the shape and duration of UWB-pulses are justified and solved.

Open this publication in new window or tab >>New Propagation Regimes of Symmetric Hybrid Waves in a Nonlinear Metal-Dielectric Waveguide### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.### Smirnov, Yury

### Smolkin, Eugene

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_some",{id:"formSmash:j_idt184:8:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_otherAuthors",{id:"formSmash:j_idt184:8:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_otherAuthors",multiple:true}); 2018 (English)In: IET Conference Publications 2018, Piscataway, New Jersey, USA: IEEE, 2018, Vol. CP741, article id 1570402136Conference paper, Published paper (Refereed)
##### Abstract [en]

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

Piscataway, New Jersey, USA: IEEE, 2018
##### Series

IET Conference Publications ; CP741
##### Keywords

Nonlinear metal-dielectric waveguide, azimuthal symmetric hybrid waves, Maxwell equations, Cauchy problem
##### National Category

Other Mathematics
##### Identifiers

urn:nbn:se:hig:diva-28592 (URN)2-s2.0-85057322030 (Scopus ID)
##### Conference

2018 12th European Conference on Antennas and Propagation (EUCAP), 9-13 April 2018, London, UK
#####

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Available from: 2018-11-22 Created: 2018-11-22 Last updated: 2018-12-10Bibliographically approved

Penza State University, Penza, Ryssland.

Penza State University, Russia.

The propagation of monochromatic nonlinear symmetric hybrid waves in a cylindrical nonlinear metal-dielectric waveguide is considered. The physical setting is reduced to a transmission eigenvalue problem for a system of ordinary differential equations which is new type of nonlinear eigenvalue problem where spectral parameters are the wave propagation constants. For the numerical solution, a method is proposed based on solving an auxiliary Cauchy problem (a version of the shooting method). As a result of comprehensive numerical modeling, new propagation regimes are discovered.

Open this publication in new window or tab >>Numerical Study of Multilayer Nonlinear Inhomogeneous Goubau Lines### Shestopalov, Yury

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.### Smolkin, Eugene

### Snegur, Maxim

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_some",{id:"formSmash:j_idt184:9:j_idt188:some",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_some",multiple:true}); PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_otherAuthors",{id:"formSmash:j_idt184:9:j_idt188:otherAuthors",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_otherAuthors",multiple:true}); 2018 (English)In: Proceedings of the 2018 International Conference on Electromagnetics in Advanced Application (ICEAA), Piscataway, New Jersey, USA: IEEE conference proceedings, 2018, p. 126-129, article id 8520464Conference paper, Published paper (Refereed)
##### Abstract [en]

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

Piscataway, New Jersey, USA: IEEE conference proceedings, 2018
##### National Category

Other Mathematics
##### Identifiers

urn:nbn:se:hig:diva-28587 (URN)10.1109/ICEAA.2018.8520464 (DOI)2-s2.0-85057425398 (Scopus ID)978-1-5386-6763-7 (ISBN)978-1-5386-6762-0 (ISBN)978-1-5386-6761-3 (ISBN)
##### Conference

2018 International Conference on Electromagnetics in Advanced Application (ICEAA), September 10-14, 2018, Cartagena de Indias, Colombia
#####

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Available from: 2018-11-22 Created: 2018-11-22 Last updated: 2018-12-10Bibliographically approved

Penza State University, Russia.

Penza State University, Russia.

We consider propagation of surface TE waves in a circular metal-dielectric waveguide filled with nonlinear (Kerr nonlinearity) multilayered inhomogeneous medium. Analysis is reduced to solving a nonlinear transmission eigenvalue problem for an ordinary differential equation; eigenvalues of the problem correspond to propagation constants of the waveguide. For the numerical solution, a method is proposed based on solving an auxiliary Cauchy problem (a version of the shooting method). As a result of comprehensive numerical modeling, new propagation regimes are discovered.