Abnormal transmission of elastic waves through a thin ligament connecting two planar isotropic waveguides

DOI10.3103/S0025654422080222OpenAlexW4360996298MaRDI QIDQ2695895

Sergueï A. Nazarov

Publication date: 5 April 2023

Published in: Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s0025654422080222

zbMATH Keywords

asymptoticslongitudinal oscillationsscattering coefficientselastic wave propagation anomalyisotropic two-dimensional waveguide with thin ligament

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX)

Cites Work

• The Mandelstam energy radiation conditions and the Umov-Poynting vector in elastic waveguides
• Enforced stability of a simple eigenvalue in the continuous spectrum of a waveguide
• Gaps in the spectrum of a waveguide composed of domains with different limiting dimensions
• Junctions of singularly degenerating domains with different limit dimensions
• Elliptic problems in domains with piecewise smooth boundaries
• Junctions of singularly degenerating domains with different limit dimensions. II
• Asymptotics of solutions to the spectral elasticity problem for a spatial body with a thin coupler
• Characteristic frequencies of bodies with thin spikes. I: Convergence and estimates
• Anomalies of acoustic wave propagation in two semi-infinite cylinders connected by a flattened ligament
• Almost complete transmission of low frequency waves in a locally damaged elastic waveguide
• Fields in Non-Degenerate 1D-3D Elastic Multi-Structures
• Korn's Inequalities for Junctions of Spatial Bodies and Thin Rods
• Enforced stability of an eigenvalue in the continuous spectrum of a waveguide with an obstacle
• Umov-Mandelshtam radiation conditions in elastic periodic waveguides
• Trapped modes in a cylindrical elastic waveguide with a damping gasket
• Korn inequalities for elastic junctions of massive bodies, thin plates, and rods
• The existence of resonance poles and scattering resonances in the case of boundary conditions of the second and third kind
• The polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
• Complete Transmission Through a Two-Dimensional Diffraction Grating
• Asymptotics of eigen-oscillations of a massive elastic body with a thin baffle
• Surface waves in a channel with thin tunnels and wells at the bottom: Non-reflecting underwater topography
• Scattering and Field Enhancement of a Perfect Conducting Narrow Slit
• Matching of Asymptotic Expansions for Wave Propagation in Media with Thin Slots I: The Asymptotic Expansion
• Scattering frequencies of resonators
• On the eigenvalues of a “dumb-bell with a thin handle”
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Abnormal transmission of elastic waves through a thin ligament connecting two planar isotropic waveguides