We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Numerical and Analytical Study of the Problem of Electromagnetic Oscillations in Open Inhomogeneous Resonators.
- Authors
Smirnov, Yu. G.; Petrova, Yu. A.
- Abstract
The properties of the resonant frequency spectrum in the problem on the oscillations of 3D magnetodielectric resonators are studied. A theorem on the discreteness of the spectrum of resonant frequencies in the problem of oscillations in cavity resonators is proved. The problem is reduced to the analysis of a system of volumetric singular integral equations that defines a holomorphic Fredholm operator function of the spectral parameter. The system of Maxwell equations is solved in the case of a space with a dielectric ball by reduction to the solution of a scalar equation for Debye potentials. A characteristic equation of a radially three-layer ball with arbitrary sizes and permeabilities of the layers is obtained and studied.
- Subjects
SINGULAR integrals; FREDHOLM operators; RESONATORS; FREQUENCIES of oscillating systems; OSCILLATIONS
- Publication
Differential Equations, 2022, Vol 58, Issue 9, p1258
- ISSN
0012-2661
- Publication type
Article
- DOI
10.1134/S0012266122090105