Almost complete transmission of waves through perforated cross-walls in a waveguide with Dirichlet boundary condition

DOI10.1134/S0037446621020087zbMath1462.35378OpenAlexW3139722948MaRDI QIDQ2661744

Lucas Chesnel, Sergueï A. Nazarov

Publication date: 8 April 2021

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446621020087

zbMATH Keywords

Dirichlet boundary conditionwaveguidealmost complete transmission of wavesasymptotics of scattering coefficientsperforated cross-walls

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with optics and electromagnetic theory (35Q60) Diffraction, scattering (78A45) Antennas, waveguides in optics and electromagnetic theory (78A50)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Asymptotic expansions of eigenvalues in the continuous spectrum of a regularly perturbed quantum waveguide
• Variational and asymptotic methods for finding eigenvalues below the continuous spectrum threshold
• The boundary value problems of mathematical physics. Transl. from the Russian by Jack Lohwater
• Elliptic problems in domains with piecewise smooth boundaries
• Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii
• Diffraction of a mode close to its cut-off by a transversal screen in a planar waveguide
• Quantum waveguides
• Asymptotic and numerical study of resonant tunneling in two-dimensional quantum waveguides of variable cross section
• Evaluation of the asymptotic form of the “intensity coefficients” on approaching corner or conical points
• Scattering anomalies in a resonator above the thresholds of the continuous spectrum
• 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 polynomial property of self-adjoint elliptic boundary-value problems and an algebraic description of their attributes
• Complete Transmission Through a Two-Dimensional Diffraction Grating
• Mode matching methods for spectral and scattering problems
• Stabilizing solutions at thresholds of the continuous spectrum and anomalous transmission of waves