Asymptotic representation of the electromagnetic field of a dielectric waveguide near a corner point of the line of discontinuity of permittivity
DOI10.1134/S0965542515030033zbMath1322.78012OpenAlexW1993812598MaRDI QIDQ2354462
I. E. Mogilevskiĭ, Aleksandr Nikolayevich Bogolyubov, A. G. Sveshnikov
Publication date: 13 July 2015
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1134/s0965542515030033
elliptic boundary value problemsasymmetric representationsingularity of electromagnetic fieldsingularity on edge
Antennas, waveguides in optics and electromagnetic theory (78A50) Asymptotic analysis in optics and electromagnetic theory (78M35) Boundary value problems for first-order elliptic systems (35J56) First-order elliptic systems (35J46)
Cites Work
- Elliptic problems in domains with piecewise smooth boundaries
- Behavior of solutions to elliptic boundary value problems in a neighborhood of corner points of discontinuity lines of the coefficients
- L2-Theory of the Maxwell operator in arbitrary domains
- Application of the finite element method to the calculation of modes of dielectric waveguides
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