We consider eigenvalue problems for dielectric cylindrical scatterers of specifically circular and arbitrary cross sections with generalized conditions at infinity. The problem statement enables one to take into account complex eigenvalues. The existence of resonance (scattering) frequencies associated with these eigenvalues is proved using the developed approach.
The technique involves 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 Rouche’s theorem to verify the occurrence of CNs in close proximities of the singularities of the pole pencils. The results are illustrated using the case of a dielectric cylinder of circular cross section.
Next, we develop a technique that allows one to obtain explicitly the parameter sets for canonical structures of circular or planar symmetry at which resonance scattering or partial invisibility are observed. The approach employs analysis of the solution expansion coefficients considered as functions of the problem parameters.
Keynote Speech Prof. Yury Shestopalov (Högskolan i Gävle) - Resonance scattering and cloaking: unified mathematical approach and model
IEEE ICTfest 2022
We consider eigenvalue problems for dielectric cylindrical scatterers of specifically circular and arbitrary cross sections with generalized conditions at infinity. The problem statement enables one to take into account complex eigenvalues. The existence of resonance (scattering) frequencies associated with these eigenvalues is proved using the developed approach.
The technique involves 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 Rouche’s theorem to verify the occurrence of CNs in close proximities of the singularities of the pole pencils. The results are illustrated using the case of a dielectric cylinder of circular cross section.
Next, we develop a technique that allows one to obtain explicitly the parameter sets for canonical structures of circular or planar symmetry at which resonance scattering or partial invisibility are observed. The approach employs analysis of the solution expansion coefficients considered as functions of the problem parameters.
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- Date: 05 Oct 2022
- Time: 09:45 AM to 10:30 AM
- All times are (UTC+03:00) Riga
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- Zunda krastmala
- Riga, Latvia
- Latvia
- Building: 10
- Room Number: room 104
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Chair: Anna Litviņenko anna.litvinenko@rtu.lv
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- Starts 21 September 2022 09:51 AM
- Ends 05 October 2022 11:59 PM
- All times are (UTC+03:00) Riga
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Speakers
Prof. Yury Shestopalov
Resonance scattering and cloaking: unified mathematical approach and model
Biography:
Yury Shestopalov is now professor of mathematics at the University of Gävle, Sweden. He accomplished complete university career from teaching assistant to professor and department head at Moscow State University (MSU), Karlstad University and University of Gävle (since 2013). Y. Shestopalov has been continuously teaching (since 1977) all university courses in mathematics. In 1992-1993 he created and then was head of the department of computer science at the MSU Kolmogorov Advanced Education and Science Centre (AESC)—The Kolmogorov School. His main scientific contributions are within spectral theory of operators and its application in mathematical methods for electromagnetics; methods of solution to inverse problems and problems with uncertain data; wave propagation in nonlinear media and nonlinear operator equations; integral equations, partial differential equations; numerical methods, optimization, applied computer codes. Y. Shestopalov has authored and co-authored five books, also published in USA and UK, more than 80 articles in peer-reviewed journals and in total more than 240 scientific works. He supervised several PhD works; among his disciples there are active professors in mathematics, applied mathematics and electrical engineering. Y. Shestopalov performs international cooperation as visiting professor and coheads international research projects with several institutions in Sweden, USA, Japan, Germany, Finland, Russia, and Ukraine. Since 1977 Y. Shestopalov organized more than 20 and participated in more than 60 international conferences and symposia.
Address:University of Gävle, , Gavleborgs lan, Sweden
Agenda
RTU, Zunda krastmala 10, room 104, Riga
09:00 - 09:30 Registration
9:30 - 09.45 IEEE Day & ICTfest Celebration Opening
09:45 - 10.30 Keynote Speech Prof. Yury Shestopalov (Högskolan i Gävle) - Resonance scattering and cloaking: unified mathematical approach and model
10:30 – 11:15 Keynote Speech Prof. Oscar Quevedo-Teruel (Royal Institute of Technology - KTH) - Glide symmetries: a new degree of freedom for the design of periodic structures
11:15 - 12.00 Keynote Speech Prof. Dr.-Ing. Ingo Gaspard (Hochschule Darmstadt – University of Applied Sciences) - Measurement, modelling and simulation of polarization properties of the indoor radio channel at microwave frequencies and below
14:30 - 18.30 IEEE Lithuania and Latvia Sections Workshop on Microwave Device and Systems
19.00 - 21.00 Organization Committee meeting of IEEE Lithuania and Latvia Sections Workshop on Microwave Device and Systems
IEEE ICTfest 2022