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Keynote Speech Prof. Yury Shestopalov (Högskolan i Gävle) – Resonance scattering and cloaking: unified mathematical approach and model
October 5, 2022 @ 9:45 AM - 10:30 AM
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.
Speaker(s): Prof. Yury Shestopalov,
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
Room: room 104, Bldg: 10, Zunda krastmala, Riga, Latvia, Latvia