Exact boundary conditions for time-harmonic wave propagation in locally perturbed periodic media

DOI10.1016/J.APNUM.2008.12.013zbMath1165.78311OpenAlexW2103806319MaRDI QIDQ1030784

Sonia Fliss, Patrick Joly

Publication date: 2 July 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2008.12.013

zbMATH Keywords

transparent boundary conditionsperiodic mediaHelmholtz equationDtN operator

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Waves and radiation in optics and electromagnetic theory (78A40)

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Cites Work

• 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
• 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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