Diffraction by a jump of curvature: wavefield near the limit ray at a moderate distance

Autor:	Ekaterina A. Zlobina
Rok vydání:	2020
Předmět:	Diffraction Physics Mathematical analysis Jump Parabolic cylinder function Limit (mathematics) Singular point of a curve Expression (computer science) Curvature Parabolic partial differential equation
Zdroj:	2020 Days on Diffraction (DD).
DOI:	10.1109/dd49902.2020.9274586
Popis:	We are concerned with deriving formulas that describe high-frequency diffraction by a contour with a jump of curvature. In earlier research [1] we have shown that the rigorous boundary-layer approach allows obtaining an asymptotic expression for the wavefield near the limit ray in terms of the parabolic cylinder function D-3. This result is valid in a small neighborhood of the singular point of the contour. In this note we extend formulas for the vicinity of the limit ray to a larger distance.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::60118d5c5931109c26e16a951aa21b7d https://doi.org/10.1109/dd49902.2020.9274586 Zobrazit plný text záznamu