Eigenvalue Problems in Fiber Optic Design

DOI10.1137/S0895479803432708zbMath1104.65312OpenAlexW2042070364MaRDI QIDQ5470526

Linda Kaufman

Publication date: 31 May 2006

Published in: SIAM Journal on Matrix Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895479803432708

zbMATH Keywords

finite element methodRayleigh quotientnonlinear eigenvalue problemMaxwell's equationwave guides

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Estimates of eigenvalues in context of PDEs (35P15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Antennas, waveguides in optics and electromagnetic theory (78A50) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Numerical solution of nonlinear eigenvalue and eigenvector problems (65H17)

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Efficient resonance computations for Helmholtz problems based on a Dirichlet-to-Neumann map ⋮ Nonlinear Rayleigh functionals ⋮ Arbogast: Higher order automatic differentiation for special functions with Modular C ⋮ The Waveguide Eigenvalue Problem and the Tensor Infinite Arnoldi Method

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