Artificial boundary conditions for finding surface waves in the problem of diffraction by a periodic boundary

DOI10.1134/s0965542506120141OpenAlexW2070595800MaRDI QIDQ6119626

Sergueï A. Nazarov

Publication date: 1 March 2024

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/zvmmf372

zbMATH Keywords

artificial boundary conditionsdiffraction by periodic boundarysearch for surface waves

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (1)

Scheme for interpretation of approximately computed eigenvalues embedded in a continuous spectrum

Cites Work

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• Elliptic problems in domains with piecewise smooth boundaries
• On computation of scattering matrices and on surface waves for diffraction gratings
• Method for Computing Scattering Matrices for General Dissipative and Selfadjoint Elliptic Problems in Domains with Cylindrical Ends
• Integral equations for a class of problems concerning obstacles in waveguides
• Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
• Existence theorems for trapped modes
• On surface waves in diffraction gratings
• Trapped modes, surface waves and Wood's anomalies for gently sloped periodic boundaries

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