A mathematical analysis of the resonance of the finite thin slots

DOI10.1016/j.apnum.2006.03.023zbMath1237.35033OpenAlexW2143814413MaRDI QIDQ2507733

Marianne Clausel, Marc Duruflé, Sébastien Tordeux, Patrick Joly

Publication date: 5 October 2006

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

Full work available at URL: https://doi.org/10.1016/j.apnum.2006.03.023

zbMATH Keywords

wave equationresonanceHelmholtzslitthin slot

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Error bounds for boundary value problems involving PDEs (65N15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Lasers, masers, optical bistability, nonlinear optics (78A60)

Related Items (8)

Electromagnetic field enhancement in a subwavelength rectangular open cavity ⋮ Electromagnetic Field Enhancement in Small Gaps: A Rigorous Mathematical Theory ⋮ Perfect transmission invisibility for waveguides with sound hard walls ⋮ Asymptotic of the Green function for the diffraction by a perfectly conducting plane perturbed by a sub-wavelength rectangular cavity ⋮ Matching of asymptotic expansions for waves propagation in media with thin slots II: The error estimates ⋮ Scattering resonances for a three-dimensional subwavelength hole ⋮ Numerical Analysis of Resonances by a Slab of Subwavelength Slits by Fourier-Matching Method ⋮ Scattering and Field Enhancement of a Perfect Conducting Narrow Slit

Cites Work

• TWO-DIMENSIONAL WAVE-SCATTERING PROBLEMS INVOLVING PARALLEL-WALLED DUCTS
• Asymptotic analysis of an approximate model for time harmonic waves in media with thin slots
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