On the convergence of the Rayleigh ansatz for hard-wall scattering on arbitrary periodic surface profiles

DOI10.1088/0305-4470/17/13/013zbMath0561.35068OpenAlexW2077750262MaRDI QIDQ5186082

Werner A. Schlup

Publication date: 1984

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0305-4470/17/13/013

zbMATH Keywords

convergenceasymptotic analysismaximal curvaturescattered waveslinear profiles with discontinuous slopesone-dimensional corrugationsplane-wave ansatz

Mathematics Subject Classification ID

Scattering theory for PDEs (35P25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Partial differential equations of mathematical physics and other areas of application (35Q99)

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Havelock wavemakers, Westergaard dams and the Rayleigh hypothesis

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