Edge Green's functions on a branched surface. Asymptotics of solutions of coordinate and spectral equations

DOI10.1007/S10958-008-0024-1zbMath1179.78059OpenAlexW2092630922MaRDI QIDQ1040319

Andrey Shanin

Publication date: 24 November 2009

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

Full work available at URL: https://doi.org/10.1007/s10958-008-0024-1

zbMATH Keywords

wave propagationHelmholtz equationdiffractionspectral equation

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Waves and radiation in optics and electromagnetic theory (78A40) Asymptotic analysis in optics and electromagnetic theory (78M35) Spectral, collocation and related methods applied to problems in optics and electromagnetic theory (78M22)

Cites Work

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• A generalization of the separation of variables method for some 2D diffraction problems
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• Embedding formulae in diffraction theory
• DIFFRACTION BY A FINITE STRIP
• Diffraction of a Plane Wave by Two Ideal Strips
• Wave diffraction through a perforated breakwater

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