Resonance frequencies of arbitrarily shaped dielectric cylinders
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Publication:6099962
DOI10.1080/00036811.2021.1992397zbMath1517.35028OpenAlexW3206072175MaRDI QIDQ6099962
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Publication date: 21 June 2023
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.1992397
resonance frequenciesboundary integral equationsoperator-valued functionsfinite-meromorphicpole pencils
Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Spectrum, resolvent (47A10) Fredholm integral equations (45B05) Resonance in context of PDEs (35B34) Eigenvalue problems for integral equations (45C05)
Cites Work
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- Holomorphic operator functions of one variable and applications. Methods from complex analysis in several variables
- Non-homogeneous media and vibration theory
- The Neumann problem for the 2-D Helmholtz equation in a domain, bounded by closed and open curves
- New numerical-analytical methods in diffraction theory
- Operator theory and boundary eigenvalue problems. Proceedings of the international workshop held in Vienna, Austria, July 27-30, 1993
- Complex waves in a dielectric waveguide
- On factorizations of analytic operator-valued functions and eigenvalue multiplicity questions
- Meromorphic families of compact operators
- A method of calculating the characteristic numbers of a meromorphic operator-function
- SCATTERING OF A PLANE WAVE FROM A CIRCULAR DIELECTRIC CYLINDER AT OBLIQUE INCIDENCE
- On the spectrum of a family of non-self-adjoint boundary value problems for systems of helmholtz equations
- On the theory of cylindrical resonators
- Layer potential techniques in spectral analysis. Part I: Complete asymptotic expansions for eigenvalues of the Laplacian in domains with small inclusions
- Inversion of a logarithmic operator defined on a regular set of arcs lying on a circle
- The diffraction in a class of unbounded domains connected through a hole
- On resonances in open systems
- Application of the method of generalized potentials to the solution of certain problems in the theory of the diffraction and propagation of waves
- Mathematical and Numerical Analysis of the Generalized Complex-Frequency Eigenvalue Problem for Two-Dimensional Optical Microcavities
- Boundary Integral Equations for Calculating Complex Eigenvalues of Transmission Problems
- Decaying modes for the wave equation in the exterior of an obstacle