On domain error truncation in a problem of guided modes computation in optical fibers

DOI10.1007/S00009-022-02022-5OpenAlexW4213428053MaRDI QIDQ2113592

Hayat Rezgui, Abdelaziz Choutri, Abdelouahab Boureghda

Publication date: 14 March 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02022-5

zbMATH Keywords

Maxwell equationsspectral analysisoptical fiberswaveguideelectromagnetismweak guidance

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs in connection with optics and electromagnetic theory (35Q60) Estimates of eigenvalues in context of PDEs (35P15) Variational methods applied to PDEs (35A15) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Antennas, waveguides in optics and electromagnetic theory (78A50) Lasers, masers, optical bistability, nonlinear optics (78A60)

Uses Software

• ARPACK

Cites Work

• Study of domain truncation error for an eigenvalue problem
• Spectral Approximation of a Boundary Condition for an Eigenvalue Problem
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