hig.sePublications

Please wait ... |

Link to record
http://hig.diva-portal.org/smash/person.jsf?pid=authority-person:60632 $(function(){PrimeFaces.cw("InputTextarea","widget_formSmash_upper_j_idt122_recordDirectLink",{id:"formSmash:upper:j_idt122:recordDirectLink",widgetVar:"widget_formSmash_upper_j_idt122_recordDirectLink",autoResize:true});}); $(function(){PrimeFaces.cw("OverlayPanel","widget_formSmash_upper_j_idt122_j_idt124",{id:"formSmash:upper:j_idt122:j_idt124",widgetVar:"widget_formSmash_upper_j_idt122_j_idt124",target:"formSmash:upper:j_idt122:permLink",showEffect:"blind",hideEffect:"fade",my:"right top",at:"right bottom",showCloseIcon:true});});

Permanent link

Direct link

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
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_j_idt359",{id:"formSmash:j_idt184:0:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_j_idt365",{id:"formSmash:j_idt184:0:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_0_j_idt188_j_idt371",{id:"formSmash:j_idt184:0:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_0_j_idt188_j_idt371",multiple:true});
#####

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)2-s2.0-85050078848 (Scopus ID)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_j_idt359",{id:"formSmash:j_idt184:1:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_j_idt365",{id:"formSmash:j_idt184:1:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_1_j_idt188_j_idt371",{id:"formSmash:j_idt184:1:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_1_j_idt188_j_idt371",multiple:true});
#####

Available from: 2018-08-15 Created: 2018-08-15 Last updated: 2018-08-15Bibliographically 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 >>Discretization Methods for Three-Dimensional Singular Integral Equations of Electromagnetism### Samokhin, Alexander

### Samokhina, Anna

### 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: Differential equations, ISSN 0012-2661, E-ISSN 1608-3083, Vol. 54, no 9Article in journal (Refereed) In press
##### 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)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_j_idt359",{id:"formSmash:j_idt184:2:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_j_idt365",{id:"formSmash:j_idt184:2:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_2_j_idt188_j_idt371",{id:"formSmash:j_idt184:2:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_2_j_idt188_j_idt371",multiple:true});
#####

Available from: 2018-09-17 Created: 2018-09-17 Last updated: 2018-09-24

Moscow Technical University MIREA, Moscow, Russia.

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

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

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.

Open this publication in new window or tab >>On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular metal-dielectric waveguide filled with nonlinear radially inhomogeneous medium### Smirnov, Yury

### Smolkin, Eugene

### 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: Journal Electromagnetic Waves and Applications, ISSN 0920-5071, E-ISSN 1569-3937, Vol. 32, no 11, p. 1389-1408Article in journal (Refereed) Published
##### Abstract [en]

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

Taylor & Francis, 2018
##### Keywords

Goubau line, Kerr nonlinearity, Maxwell’s equations, non-polarized azimuthal-symmetric electromagnetic waves, nonlinear inhomogeneous waveguide, numerical method, two-parameter eigenvalue problem, Circular waveguides, Control nonlinearities, Dielectric waveguides, Differential equations, Electromagnetic wave polarization, Electromagnetic waves, Maxwell equations, Nonlinear equations, Numerical methods, Ordinary differential equations, Problem solving, Wave propagation, Waveguides, Metal-dielectric waveguide, Nonlinear eigenvalue problem, Nonlinear inhomogeneous, Radially inhomogeneous medium, System of ordinary differential equations, Eigenvalues and eigenfunctions
##### National Category

Other Mathematics
##### Identifiers

urn:nbn:se:hig:diva-26209 (URN)10.1080/09205071.2018.1438929 (DOI)000433979500006 ()2-s2.0-85041931654 (Scopus ID)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_j_idt359",{id:"formSmash:j_idt184:3:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_j_idt365",{id:"formSmash:j_idt184:3:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_3_j_idt188_j_idt371",{id:"formSmash:j_idt184:3:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_3_j_idt188_j_idt371",multiple:true});
#####

Available from: 2018-03-06 Created: 2018-03-06 Last updated: 2018-06-25Bibliographically approved

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

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

Propagation of monochromatic nonlinear symmetric hybrid waves in a cylindrical nonlinear inhomogeneous metal–dielectric waveguide is considered. The physical problem is reduced to solving a transmission eigenvalue problem for a system of ordinary differential equations where spectral parameters are the wave propagation constants. The setting under study is reduced to a new type of nonlinear eigenvalue problem. An analytical method for solving this problem is elaborated. 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 >>Singularities of the transmission coefficient and anomalous scattering by a dielectric slab### 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_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)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 59, no 3, article id 033507Article in journal (Refereed) Published
##### Abstract [en]

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

American Institute of Physics Inc., 2018
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:hig:diva-26671 (URN)10.1063/1.5027195 (DOI)000428902300037 ()2-s2.0-85044305243 (Scopus ID)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_j_idt359",{id:"formSmash:j_idt184:4:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_j_idt365",{id:"formSmash:j_idt184:4:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_4_j_idt188_j_idt371",{id:"formSmash:j_idt184:4:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_4_j_idt188_j_idt371",multiple:true});
#####

Available from: 2018-05-31 Created: 2018-05-31 Last updated: 2018-05-31Bibliographically approved

We prove the existence and describe the distribution on the complex plane of the singularities, resonant states (RSs), of the transmission coefficient in the problem of the plane wave scattering by a parallel-plate dielectric slab in free space. It is shown that the transmission coefficient has isolated poles all with nonzero imaginary parts that form countable sets in the complex plane of the refraction index or permittivity of the slab with the only accumulation point at infinity. The transmission coefficient never vanishes and anomalous scattering, when its modulus exceeds unity, occurs at arbitrarily small loss of the dielectric filling the layer. These results are extended to the cases of scattering by arbitrary multi-layer parallel-plane media. Connections are established between RSs, spectral singularities, eigenvalues of the associated Sturm-Liouville problems on the line, and zeros of the corresponding Jost function.

Open this publication in new window or tab >>Symmetric surface complex waves in Goubau Line### Kuzmina, Ekaterina

### 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: Cogent Engineering, ISSN 2331-1916, Vol. 5, no 1Article in journal (Refereed) Published
##### Abstract [en]

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

Taylor & Francis, 2018
##### Keywords

Goubau line; losses; complex surface wave; dispersion equation; attenuation
##### National Category

Other Mathematics
##### Identifiers

urn:nbn:se:hig:diva-27907 (URN)10.1080/23311916.2018.1507083 (DOI)000444436700001 ()2-s2.0-85053273140 (Scopus ID)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_j_idt359",{id:"formSmash:j_idt184:5:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_j_idt365",{id:"formSmash:j_idt184:5:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_5_j_idt188_j_idt371",{id:"formSmash:j_idt184:5:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_5_j_idt188_j_idt371",multiple:true});
#####

Available from: 2018-09-17 Created: 2018-09-17 Last updated: 2018-09-24Bibliographically approved

Moscow Technical University MIREA, Moscow, Russia.

Existence of symmetric surface complex waves in a Goubau line—a perfectly conducting cylinder of circular cross-section covered by a concentric dielectric layer—is proved by constructing perturbation of the spectrum of symmetric real waves with respect to the imaginary part of the permittivity of the dielectric cover. Closed-form iteration procedures for calculating the roots of the dispersion equation (DE) in the complex domain supplied with efficient choice of initial approximation are developed. Numerical modeling is performed with the help of a parameter-differentiation method applied to the analytical and numerical solution of DEs.

Open this publication in new window or tab >>Symmetric surface waves along a metamaterial dielectric waveguide and a perfectly conducting cylinder covered by a metamaterial layer### Shestopalov, Yury

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

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)In: Advanced Electromagnetics (AEM), E-ISSN 2119-0275, Vol. 7, no 2, p. 91-98Article in journal (Refereed) Published
##### Abstract [en]

##### Keywords

Complex waves, dispersion equation, metamaterial, Goubau line
##### National Category

Other Mathematics Other Physics Topics
##### Identifiers

urn:nbn:se:hig:diva-26994 (URN)10.7716/aem.v7i2.792 (DOI)2-s2.0-85047562255 (Scopus ID)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_j_idt359",{id:"formSmash:j_idt184:6:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_j_idt365",{id:"formSmash:j_idt184:6:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_6_j_idt188_j_idt371",{id:"formSmash:j_idt184:6:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_6_j_idt188_j_idt371",multiple:true});
#####

Available from: 2018-06-13 Created: 2018-06-13 Last updated: 2018-06-25Bibliographically approved

Moscow Technical University MIREA, Moscow, Russia.

Existence of symmetric complex waves in a metamaterial dielectric rod and a perfectly conducting cylinder of circular cross section covered by a concentric layer of metamaterial, a metamaterial Goubau line, is proved. Analytical investigation and numerical solution of dispersion equations reveal several important properties of running waves inher- ent to open metal-metamaterial waveguides which have not been reported for waveguides filled with standard media.

Open this publication in new window or tab >>A regularized approach to the calculation of the propagation modes in a perturbed waveguide### Smith, P. D.

### Vinogradova, E. D.

### Shestopalov, Yury V.

University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Mathematics.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}); 2017 (English)In: 2017 International Conference on Electromagnetics in Advanced Applications (ICEAA), 2017, p. 1727-1730, article id 8065627Conference paper, Published paper (Refereed)
##### Abstract [en]

##### Keywords

Propagation constant, Integral equations, Eigenvalues and eigenfunctions, Kernel, Strips, Matrix converters, Transmission line matrix methods
##### National Category

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

urn:nbn:se:hig:diva-25435 (URN)10.1109/ICEAA.2017.8065627 (DOI)000426455500355 ()2-s2.0-85035079716 (Scopus ID)978-1-5090-4452-8 (ISBN)978-1-5090-4451-1 (ISBN)978-1-5090-4450-4 (ISBN)
##### Conference

19th International Conference on Electromagnetics in Advanced Applications (ICEAA), 11-15 September 2017, Verona, Italy
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_j_idt359",{id:"formSmash:j_idt184:7:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_j_idt365",{id:"formSmash:j_idt184:7:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_7_j_idt188_j_idt371",{id:"formSmash:j_idt184:7:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_7_j_idt188_j_idt371",multiple:true});
#####

Available from: 2017-10-19 Created: 2017-10-19 Last updated: 2018-05-31Bibliographically approved

Macquarie University, Sydney, Australia.

Macquarie University, Sydney, Australia.

When a perfectly electrically conducting (PEC) waveguide is perturbed by the insertion of a PEC structure aligned with its axis, its propagation constants are perturbed. Two complementary approaches to the determination of change induced by the insert are described. The first provides an analytic estimate when the insert is a small flat strip. The second approach converts the underlying boundary value problem to a homogeneous Fredholm matrix equation in which the propagation constants are found from the roots of the determinant of the matrix and stable numerical processes may be employed to find the propagation constants. The second approach is not constrained by the size or shape of the inserts, and thus provides an independent estimate of the accuracy of the analytic estimate of perturbation to the propagation constants of the empty waveguide; it also determines the empty waveguide parameters themselves.

Open this publication in new window or tab >>Accelerated boundary integral method for solving the problem of scattering by multiple multilayered circular cylindrical posts in a rectangular waveguide### Kushnin, R.

### Semenjako, J.

### 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_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}); 2017 (English)In: 2017 Progress In Electromagnetics Research Symposium - Fall (PIERS - FALL), Electromagnetics Academy , 2017, p. 3263-3271Conference paper, Published paper (Refereed)
##### Abstract [en]

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

Electromagnetics Academy, 2017
##### Series

Progress in Electromagnetics Research Symposium
##### Keywords

Bandpass filters, Rectangular waveguides, Boundary integral methods, Computation time, Cylindrical posts, Dominant mode, Multi-layered, Slow convergences, Surface integral equations, System of equations, Integral equations
##### National Category

Mathematics
##### Identifiers

urn:nbn:se:hig:diva-26729 (URN)10.1109/PIERS.2017.8262320 (DOI)000427596703053 ()2-s2.0-85044934518 (Scopus ID)9781509062690 (ISBN)978-1-5090-6270-6 (ISBN)
##### Conference

2017 Progress In Electromagnetics Research Symposium - Spring, PIERS 2017, 22-25 May 2017, St. Petersburg, Russian Federation
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_j_idt359",{id:"formSmash:j_idt184:8:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_j_idt365",{id:"formSmash:j_idt184:8:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_8_j_idt188_j_idt371",{id:"formSmash:j_idt184:8:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_8_j_idt188_j_idt371",multiple:true});
#####

##### Projects

Project Largescale
##### Funder

Swedish Institute
Available from: 2018-06-04 Created: 2018-06-04 Last updated: 2018-06-04Bibliographically approved

Riga Technical University, Latvia.

Riga Technical University, Latvia.

An accelerated boundary integral method for the analysis of scattering of the dominant mode by multiple multi-layered full-height circular cylindrical posts in a rectangular waveguide is presented. After some transformations the surface integral equation is converted to a system of equations whose entries can be evaluated analytically yielding Schlömilch series. Slow convergence of these series is accelerated using the Ewald technique. The proposed method gives results that are comparable in terms of accuracy with other approaches, including those incorporated in solvers HFSS and CST Studio and outperforms them in terms of computation time, especially for posts with large electrical sizes. The efficiency of the proposed method is confirmed by the examples of H-plane cylinder bandpass filters design.

Open this publication in new window or tab >>Analysis and solution method for problems of electromagnetic wave scattering on dielectric and perfectly conducting structures### Samokhin, Alexander

### Samokhina, Anna

### Shestopalov, Yury

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}); 2017 (English)In: Differential equations, ISSN 0012-2661, E-ISSN 1608-3083, Vol. 53, no 9, p. 1165-1173Article in journal (Refereed) Published
##### Abstract [en]

##### Keywords

Electromagnetic wave, scattering, singular integral equations
##### National Category

Computational Mathematics
##### Identifiers

urn:nbn:se:hig:diva-26991 (URN)10.1134/S0012266117090075 (DOI)
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_j_idt359",{id:"formSmash:j_idt184:9:j_idt188:j_idt359",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_j_idt359",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_j_idt365",{id:"formSmash:j_idt184:9:j_idt188:j_idt365",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_j_idt365",multiple:true});
#####

PrimeFaces.cw("AccordionPanel","widget_formSmash_j_idt184_9_j_idt188_j_idt371",{id:"formSmash:j_idt184:9:j_idt188:j_idt371",widgetVar:"widget_formSmash_j_idt184_9_j_idt188_j_idt371",multiple:true});
#####

##### Funder

Swedish Institute
Available from: 2018-06-13 Created: 2018-06-13 Last updated: 2018-06-14Bibliographically approved

Moscow Technological University (MIREA), Moscow, Russia.

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

Moscow Technological University (MIREA), Moscow, Russia.

Problems of electromagnetic wave scattering on 3D dielectric structures in the presence of bounded perfectly conducting surfaces are reduced to a system of singular integral equations. We study this system mathematically and suggest a numerical solution method.