Computer Methods in Applied Mechanics and Engineering
A perfectly matched layer for the absorption of electromagnetic waves
Journal of Computational Physics
Mathematics of Computation
Templates for the solution of algebraic eigenvalue problems: a practical guide
Templates for the solution of algebraic eigenvalue problems: a practical guide
Finite Element Software for Microwave Engineering
Finite Element Software for Microwave Engineering
On the Convergence of Galerkin Finite Element Approximations of Electromagnetic Eigenproblems
SIAM Journal on Numerical Analysis
Computational Models of Electromagnetic Resonators: Analysis of Edge Element Approximation
SIAM Journal on Numerical Analysis
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Handbook of Mathematical Functions, With Formulas, Graphs, and Mathematical Tables,
Photonic Crystals: Molding the Flow of Light
Photonic Crystals: Molding the Flow of Light
On a parallel multilevel preconditioned Maxwell eigensolver
Parallel Computing - Parallel matrix algorithms and applications (PMAA'04)
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The computation of optical modes inside axisymmetric cavity resonators with a general spatial permittivity profile is a formidable computational task. In order to avoid spurious modes the vector Helmholtz equations are discretised by a mixed finite element approach. We formulate the method for first and second order Nedelec edge and Lagrange nodal elements. We discuss how to accurately compute the element matrices and solve the resulting large sparse complex symmetric eigenvalue problems. We validate our approach by three numerical examples that contain varying material parameters and absorbing boundary conditions (ABC).