Symbol of the Dirichlet-to-Neumann operator in 2D diffraction problems with large wavenumber

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dc.creatorKondratieva, Margarita F.
dc.creatorSadov, Sergey Yu.
dc.date2003-10-10
dc.date.accessioned2026-07-07T05:50:12Z
dc.date.available2026-07-07T05:50:12Z
dc.descriptionWe put forward a conjecture about an universal asymptotical behaviour of the symbol of the Dirichlet-to-Neumann operator (considered as a pseudodifferential operator) in the 2D exterior problem for the Hemholtz equation. The conjecture is motivated by simple explicit examples and backed by numerical calculations, even in the case of a non-convex obstacle. It implies (at a physical level of rigor) Kirhhoff's approximation.
dc.description10 pages, 4 figures, LaTeX/ps, talk at the conference "Days on Diffractions'03", St.Petersburg, Russia, June 2003
dc.identifierhttps://arxiv.org/abs/physics/0310048
dc.identifierhttp://arxiv.org/abs/physics/0310048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/85639
dc.subjectOptics
dc.subjectComputational Physics
dc.titleSymbol of the Dirichlet-to-Neumann operator in 2D diffraction problems with large wavenumber
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