Construction of local boundary conditions for an eigenvalue problem using micro-local analysis: application to optical waveguide problems.

DOI10.1016/j.jcp.2003.07.037zbMath1040.78010OpenAlexW2046033877MaRDI QIDQ1419843

Chokri Bekkey, Rabia Djellouli, Hélène Barucq

Publication date: 26 January 2004

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2003.07.037

zbMATH Keywords

Finite element methodGeneralized eigenvalue problemArtificial boundary conditionsGuided modeIRAMMicro-local analysisOptical fibreWeak guidance

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Antennas, waveguides in optics and electromagnetic theory (78A50) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27)

Related Items (3)

Absorbing boundary conditions for nonlinear acoustics: the Westervelt equation ⋮ Improved multimodal methods for the acoustic propagation in waveguides with finite wall impedance ⋮ Mathematical analysis and solution methodology for an inverse spectral problem arising in the design of optical waveguides

Uses Software

• ARPACK

Cites Work

• Non-reflecting boundary conditions
• Bayliss-Turkel-like radiation conditions on surfaces of arbitrary shape
• Numerical solution of problems on unbounded domains. A review
• An integral method to compute guided modes of an optical coupler in the vectorial case
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Boundary Conditions for the Numerical Solution of Elliptic Equations in Exterior Regions
• Reflection of singularities at the boundary
• High-frequency asymptotics of guided modes in optical fibres
• ARPACK Users' Guide
• Spectral Approximation of a Boundary Condition for an Eigenvalue Problem
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