Method for computing waveguide scattering matrices in the vicinity of thresholds

DOI10.1090/S1061-0022-2014-01332-5zbMath1317.47012OpenAlexW2071026780WikidataQ110234158 ScholiaQ110234158MaRDI QIDQ5254404

A. S. Poretskii, O. V. Sarafanov, Boris A. Plamenevsky

Publication date: 9 June 2015

Published in: St. Petersburg Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s1061-0022-2014-01332-5

zbMATH Keywords

exponential convergenceaugmented scattering matrixminimizer for a functionalthreshold limits

Mathematics Subject Classification ID

Scattering theory of linear operators (47A40) Quantum dots, waveguides, ratchets, etc. (81Q37)

Related Items (5)

Stabilizing solutions at thresholds of the continuous spectrum and anomalous transmission of waves ⋮ A method for approximate computation of waveguide scattering matrices ⋮ Threshold resonances and virtual levels in the spectrum of cylindrical and periodic waveguides ⋮ Behavior of waveguide scattering matrices in a neighborhood of thresholds ⋮ Computation of waveguide scattering matrix near thresholds

Cites Work

• On a method for computing waveguide scattering matrices in the presence of point spectrum
• Classes of linear operators. Vol. I
• Elliptic problems in domains with piecewise smooth boundaries
• On a method for computing waveguide scattering matrices
• On a Problem of BABUŠKA (Stable Asymptotics of the Solution to the DIRICHLET Problem for Elliptic Equations of Second Order in Domains with Angular Points)
• Wood's anomalies and surface waves in the problem of scattering by a periodic boundary. II
• Stable Asymptotics for Elliptic Systems on Plane Domains with Corners
• Unnamed Item

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