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

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We 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.
10 pages, 4 figures, LaTeX/ps, talk at the conference "Days on Diffractions'03", St.Petersburg, Russia, June 2003

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Optics, Computational Physics

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http://salesiana.dossiersoluciones.com/handle/123456789/85639

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/physics/0310048
 http://arxiv.org/abs/physics/0310048

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arXiv