Transmission and trapping of waves in an acoustic waveguide with perforated cross-walls

DOI10.1134/S0015462821080085OpenAlexW4226278952MaRDI QIDQ2086759

Lucas Chesnel, Sergueï A. Nazarov

Publication date: 26 October 2022

Published in: Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0015462821080085

zbMATH Keywords

acoustic waveguidetrapped wavesperforated wallsalmost complete transmission of wavesasymptotics of scattering coefficients

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Cites Work

• Gap in the essential spectrum of the Neumann problem for an elliptic system in a periodic domain
• Opening of a gap in the continuous spectrum of a periodically perturbed waveguide
• Asymptotic expansions of eigenvalues in the continuous spectrum of a regularly perturbed quantum waveguide
• Enforced stability of a simple eigenvalue in the continuous spectrum of a waveguide
• Variational and asymptotic methods for finding eigenvalues below the continuous spectrum threshold
• Elliptic problems in domains with piecewise smooth boundaries
• Transmission of waves through a small aperture in the cross-wall in an acoustic waveguide
• Diffraction of a mode close to its cut-off by a transversal screen in a planar waveguide
• Asymptotics of the eigenvalues and eigenfunctions of a thin square Dirichlet lattice with a curved ligament
• Asymptotic expansions of solutions of ordinary differential equations in Hilbert space
• Asymptotic formulas for trapped modes and for eigenvalues below the threshold of the continuous spectrum of a waveguide with a thin screening barrier
• Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section
• Almost standing waves in a periodic waveguide with resonator, and near-threshold eigenvalues
• Scattering anomalies in a resonator above the thresholds of the continuous spectrum
• Resonant Tunneling
• An example of multiple gaps in the spectrum of a periodic waveguide
• Weinstein's Diffraction Problem: Embedding Formula and Spectral Equation in Parabolic Approximation
• ASYMPTOTIC EXPANSIONS OF THE EIGENVALUES OF BOUNDARY VALUE PROBLEMS FOR THE LAPLACE OPERATOR IN DOMAINS WITH SMALL HOLES
• The Neumann problem for selfadjoint elliptic systems in a domain with piecewise-smooth boundary
• Midgap Defect Modes in Dielectric and Acoustic Media
• Existence theorems for trapped modes
• The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
• Trapped modes in thin and infinite ladder like domains. Part 1: Existence results
• Breakdown of cycles and the possibility of opening spectral gaps in a square lattice of thin acoustic waveguides
• Mode matching methods for spectral and scattering problems
• Regular degeneration and boundary layer for linear differential equations with small parameter
• Isoperimetric Inequalities in Mathematical Physics. (AM-27)
• Floquet theory for partial differential equations
• Floquet theory for partial differential equations
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