| 1. |
- Nakonechny, Alexander, et al.
(författare)
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Guaranteed estimation for inverse problems in electromagnetics and acoustics
- 2016
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Ingår i: Proceedings of the 2016 18th International Conference on Electromagnetics in Advanced Applications, ICEAA 2016. ; , s. 374-377
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Konferensbidrag (refereegranskat)abstract
- The analysis is performed and theorems are formulated concerning general form of guaranteed estimates of linear functionals from unknown data of Helmholtz transmission problems arising in electromagnetics and acoustics of inhomogeneous dielectric media.
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| 2. |
- 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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| 3. |
- Shestopalov, Yury, 1953-, et al.
(författare)
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On the existence of the nonlinear leaky TE-polarized waves in a metal–dielectric cylindrical waveguide
- 2019
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Ingår i: Wave motion. - : Elsevier BV. - 0165-2125 .- 1878-433X. ; 91
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Tidskriftsartikel (refereegranskat)abstract
- We consider propagation of leaky waves in the Goubau line (a perfectly conducting cylinder covered by a concentric dielectric layer) filled with nonlinear inhomogeneous medium. The problem is reduced to the analysis of a nonlinear integral equation with a kernel in the form of the Green’s function of an auxiliary boundary value problem on an interval. The existence of propagating nonlinear leaky waves for the chosen nonlinearity (Kerr law) is proved using the method of contraction. Conditions under which a finite number of waves can propagate are obtained and the intervals of localization of the corresponding propagation constants are determined. For the numerical solution, a method based on solving an auxiliary Cauchy problem (a version of the shooting method) is proposed. In numerical experiments, two types of nonlinearities are considered and compared: Kerr nonlinearity and nonlinearity with saturation. New propagation regimes are discovered.
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| 4. |
- Shestopalov, Yury, 1953-, et al.
(författare)
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Permittivity reconstruction of a diaphragm in a rectangular waveguide : Unique solvability of benchmark inverse problems
- 2015
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Ingår i: PIERS 2015 Prague. - Cambridge, MA : The Electromagnetics Academy. - 9781934142301 ; , s. 1528-1532
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Konferensbidrag (refereegranskat)abstract
- This work is devoted to the analysis of inverse problems of permittivity reconstruction of diaphragms loaded in a rectangular waveguide including justification of the solution to a benchmark inverse problem of reconstructing permittivity of a one-sectional diaphragm. We perform comparison of theoretical and numerical results based on the measurement data to validate the efficiency of the proposed technique. The obtained solutions can be implemented in practical measurements for investigation of new artificial materials and media and can be applied in optics, nanotechnology, and design of microwave devices.
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| 5. |
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| 6. |
- Smirnov, Yury, et al.
(författare)
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On the existence of non-polarized azimuthal-symmetric electromagnetic waves in circular metal-dielectric waveguide filled with nonlinear radially inhomogeneous medium
- 2018
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Ingår i: Journal Electromagnetic Waves and Applications. - : Taylor & Francis. - 0920-5071 .- 1569-3937. ; 32:11, s. 1389-1408
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Tidskriftsartikel (refereegranskat)abstract
- 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.
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| 7. |
- Angermann, L., et al.
(författare)
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A nonlinear multiparameter EV problem
- 2018
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Ingår i: Progress In Electromagnetics Research Symposium. - Cham : Springer New York LLC. - 9783319940595 - 9783319940601 ; , s. 55-70
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Konferensbidrag (refereegranskat)abstract
- 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.
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| 8. |
- Angermann, Lutz, et al.
(författare)
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Eigenmodes of linearised problems of scattering and generation of oscillations on cubically polarisable layers
- 2015
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Ingår i: Inverse Problems and Applications. - Cham : Springer-Verlag New York. - 9783319124988 - 9783319124995 ; , s. 67-80
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Konferensbidrag (refereegranskat)abstract
- In the frequency domain, the resonant properties of nonlinear structures are determined by the proximity of the scattering/generation frequencies of the nonlinear structures to the complex eigenfrequencies of the corresponding homogeneous linear spectral problems with the induced nonlinear permeability of the medium. Here the case of cubically polarisable, canalising, and decanalising layers is considered.
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| 9. |
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| 10. |
- Cappello, Barbara, et al.
(författare)
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Analysis of the surface impedance of a sinusoidally modulated metasurface
- 2019
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Ingår i: 2019 International Conference on Electromagnetics in Advanced Applications (ICEAA). - : IEEE. - 9781728105635 ; , s. 0075-0077
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Konferensbidrag (refereegranskat)abstract
- Metasurfaces have been extensively exploited in recent years for mantle cloaking applications. In this type of problems it is of fundamental importance to determine the connection between the metasurface geometrical parameters and the realised value of surface impedance, in order to properly design the metasurface. In this paper the surface impedance of a non homogeneous metasurface, based on a sinusoidally modulated metallic pattern is analysed.
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