Thin-layer solutions of the Helmholtz equation

DOI10.1017/S0956792520000364zbMath1478.78070OpenAlexW3092162977MaRDI QIDQ5014468

R. H. Tew, John R. Ockendon

Publication date: 8 December 2021

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0956792520000364

zbMATH Keywords

Helmholtz equationhigh-frequency asymptoticsinflection pointsthin layers

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) Second-order parabolic equations (35K10) Asymptotic analysis in optics and electromagnetic theory (78M35) Geometric optics (78A05)

Related Items (4)

Searchlight asymptotics for high-frequency scattering by boundary inflection ⋮ The Malyuzhinets-Popov diffraction problem revisited ⋮ Thin-layer solutions to the Helmholtz equation in three dimensions ⋮ A caustic terminating at an inflection point

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