Diffraction of a high-frequency grazing wave by a grating with a complicated period

DOI10.1007/S10958-013-1513-4zbMath1314.35180OpenAlexW2043809042MaRDI QIDQ744507

Andrey Shanin

Publication date: 25 September 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-013-1513-4

zbMATH Keywords

Helmholtz equationRiemannian surfacediffraction gratingwave scatteringscattering coefficients

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Scattering theory for PDEs (35P25) Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Waves and radiation in optics and electromagnetic theory (78A40)

Related Items (2)

Diffraction by a grating consisting of absorbing screens of different height. New equations ⋮ The parabolic equation method and the Fresnel approximation in the application to Weinstein's problems

Cites Work

• Weinstein's Diffraction Problem: Embedding Formula and Spectral Equation in Parabolic Approximation
• On Certain Multiple Integrals Occurring in a Waveguide Scattering Problem
• Solution of Nonlinear Equations by Iterative Procedures which Use Approximation Techniques
• ON THE RANGE OF PARTIAL SUMS OF A FINITE NUMBER OF INDEPENDENT NORMAL VARIATES
• Shortwave scattering by a diffraction echelette-grating
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