Wave propagation in locally perturbed periodic media (case with absorption): numerical aspects

DOI10.1016/j.jcp.2011.10.007zbMath1408.78007OpenAlexW2009734997MaRDI QIDQ422943

Sonia Fliss, Patrick Joly

Publication date: 18 May 2012

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2011.10.007

zbMATH Keywords

wave propagationtransparent boundary conditionsperiodic mediaDtN operators

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Finite element, Galerkin and related methods applied to problems in optics and electromagnetic theory (78M10) Numerical methods for integral transforms (65R10) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (7)

High Order Complex Contour Discretization Methods to Simulate Scattering Problems in Locally Perturbed Periodic Waveguides ⋮ Explicit formula for amplitudes of waves in lattices with defects and sources and its application for defects detection ⋮ A Bloch Wave Numerical Scheme for Scattering Problems in Periodic Wave-Guides ⋮ Outgoing wave conditions in photonic crystals and transmission properties at interfaces ⋮ A modification of the invariant imbedding method for a singular boundary value problem ⋮ Numerical methods for scattering problems in periodic waveguides ⋮ Algebra of multidimensional periodic operators with defects

Cites Work

• Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media
• Localized classical waves created by defects
• A perfectly matched layer for the absorption of electromagnetic waves
• Floquet multipliers of periodic waveguides via Dirichlet-to-Neumann maps
• Radiation boundary conditions for wave-like equations
• On the Coupling of Boundary Integral and Finite Element Methods
• Mixed and Hybrid Finite Element Methods
• Midgap Defect Modes in Dielectric and Acoustic Media
• Solving Time-Harmonic Scattering Problems Based on the Pole Condition I: Theory
• Solving Time-Harmonic Scattering Problems Based on the Pole Condition II: Convergence of the PML Method
• On the Solution of Time-Harmonic Scattering Problems for Maxwell’s Equations
• Convergence of the Supercell Method for Defect Modes Calculations in Photonic Crystals
• Floquet theory for partial differential equations
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