| 1. |
- Kuzmina, Ekaterina, et al.
(författare)
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Symmetric surface complex waves in Goubau Line
- 2018
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Ingår i: Cogent Engineering. - : Taylor & Francis. - 2331-1916. ; 5:1
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Tidskriftsartikel (refereegranskat)abstract
- 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.
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| 2. |
- Lagovsky, B. A., et al.
(författare)
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Creating Two-Dimensional Images of Objects with High Angular Resolution
- 2018
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Ingår i: Proceedings of 2018 IEEE Asia-Pacific Conference on Antennas and Propagation (APCAP). - 9781538656495 - 9781538656488 - 9781538656471 ; , s. 114-115
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Konferensbidrag (refereegranskat)abstract
- 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.
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| 3. |
- Podlipenko, Yu K., et al.
(författare)
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Guaranteed estimation of solutions to Helmholtz transmission problems with uncertain data from their indirect noisy observations
- 2017
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Ingår i: Radio Science. - : Blackwell Publishing Ltd. - 0048-6604 .- 1944-799X. ; 52:9, s. 1129-1139
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Tidskriftsartikel (refereegranskat)abstract
- We investigate the guaranteed estimation problem of linear functionals from solutions to transmission problems for the Helmholtz equation with inexact data. The right-hand sides of equations entering the statements of transmission problems and the statistical characteristics of observation errors are supposed to be unknown and belonging to certain sets. It is shown that the optimal linear mean square estimates of the above mentioned functionals and estimation errors are expressed via solutions to the systems of transmission problems of the special type. The results and techniques can be applied in the analysis and estimation of solution to forward and inverse electromagnetic and acoustic problems with uncertain data that arise in mathematical models of the wave diffraction on transparent bodies.
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| 4. |
- Shestopalov, Yury, 1953-, et al.
(författare)
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Inverse problem method for permittivity reconstruction of two-layered media : numerical and experimental results
- 2014
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Ingår i: Progress in Electromagnetics Research Symposium. - : Electromagnetics Academy. - 9781934142288 ; , s. 2610-2613
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Konferensbidrag (refereegranskat)abstract
- This study employs the technique developed in [1-3] and deals with complex permittivity reconstruction of layered materials in the form of diaphragms (sections) in a single-mode waveguide of rectangular cross section from the transmission coefficient measured at different frequencies.
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| 5. |
- Shestopalov, Yury, 1953-, et al.
(författare)
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Mathematical Aspects of the Theory of Wave Propagation in Metal-Dielectric Waveguides
- 2014
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Ingår i: General Assembly and Scientific Symposium (URSI GASS), 2014 XXXIth URSI. - : IEEE Press.
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Konferensbidrag (refereegranskat)abstract
- We consider fundamental issues of the mathematical theory of the wave propagation in waveguides with inclusions. Analysis is performed in terms of a boundary eigenvalue problem for the Maxwell equations which is reduced to an eigenvalue problem for an operator pencil. We prove that the spectrum of normal waves forms a nonempty set of isolated points localized in a strip with at most finitely many real points. We show the importance of these results for the theory of wave propagation in open guiding structures and consider in more detail the surface wave spectrum of the Goubau line.
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| 6. |
- Shestopalov, Yury, 1953-, et al.
(författare)
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New Propagation Regimes of Symmetric Hybrid Waves in a Nonlinear Metal-Dielectric Waveguide
- 2018
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Ingår i: IET Conference Publications 2018. - Piscataway, New Jersey, USA : IEEE.
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Konferensbidrag (refereegranskat)abstract
- 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.
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| 7. |
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| 8. |
- Shestopalov, Yury, 1953-, et al.
(författare)
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Numerical Study of Multilayer Nonlinear Inhomogeneous Goubau Lines
- 2018
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Ingår i: Proceedings of the 2018 International Conference on Electromagnetics in Advanced Application (ICEAA). - Piscataway, New Jersey, USA : IEEE conference proceedings. - 9781538667637 - 9781538667620 - 9781538667613 ; , s. 126-129
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Konferensbidrag (refereegranskat)abstract
- 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.
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| 9. |
- Shestopalov, Yury, 1953-, et al.
(författare)
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On a Mathematical Theory of Open Metal-Dielectric Waveguides
- 2014
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Ingår i: Forum for Electromagnetic Research Methods and Application Technologies (FERMAT). ; 5
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Tidskriftsartikel (refereegranskat)abstract
- Existence of symmetric waves in open metal--dielectric waveguides, a dielectric rod and the Goubau line, is proven by analyzing the of functional properties of the dispersion equations (DEs) and parameter-differentiation method, applied to the analytical and numerical solution of the DEs. Various limiting cases are investigated. Reduction to singular Sturm--Liouville boundary eigenvalue problemson the half-line is performed. Principal and higher-order surface waves are investigated
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| 10. |
- Shestopalov, Yury, 1953-
(författare)
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On a Perspective of Discovering Wave Interaction in Canonical Open Metal-Dielectric Waveguides
- 2018
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Ingår i: Proceedings of 2018 International Conference on Electromagnetics in Advanced Application (ICEAA). - Piscataway, New Jersey, USA : IEEE conference proceedings. - 9781538667637 - 9781538667620 - 9781538667613 ; , s. 72-75
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Konferensbidrag (refereegranskat)abstract
- A possibility of the wave interaction is demonstrated for canonical types of open metal-dielectric waveguides: a dielectric rod of circular cross section and a perfectly conducting circular cylinder covered by a concentric layer of dielectric, a Goubau line. The results and technique that apply rigorous analysis of dispersion equations and determination of Morse critical points admit extension to other types of guiding structures.
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