The Helmholtz problem in slowly varying waveguides at locally resonant frequencies

DOI10.1016/j.wavemoti.2023.103157zbMath1524.78085arXiv2202.08179MaRDI QIDQ6072618

Grégory Vial, Angèle Niclas, Eric Bonnetier, Laurent Seppecher

Publication date: 13 October 2023

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.08179

zbMATH Keywords

Helmholtz equationresonanceswaveguide

Mathematics Subject Classification ID

Green's functions for ordinary differential equations (34B27) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Antennas, waveguides in optics and electromagnetic theory (78A50) Asymptotic analysis in optics and electromagnetic theory (78M35)

Related Items (1)

Layer Stripping Approach to Reconstruct Shape Variations in Waveguides Using Locally Resonant Frequencies

Cites Work

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• An asymptotic theory for internal reflection in weakly inhomogeneous elastic waveguides
• A perfectly matched layer for the absorption of electromagnetic waves
• A fourth-order Magnus scheme for Helmholtz equation
• Small defects reconstruction in waveguides from multifrequency one-side scattering data
• Bremmer series for the multimodal sound propagation in inhomogeneous waveguides
• Lamb wave propagation in elastic waveguides with variable thickness
• Coupled Raleigh surface waves in slowly varying elastic waveguide
• Sound transmission in slowly varying circular and annular lined ducts with flow
• Helmholtz Equation with Artificial Boundary Conditions in a Two-Dimensional Waveguide
• The linear sampling method in a waveguide: a modal formulation
• Error Bounds for First Approximations in Turning-Point Problems

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