Acoustic scattering by a semi-infinite angular sector with impedance boundary conditions, II: the far-field asymptotics

Autor:	Mikhail A. Lyalinov
Rok vydání:	2020
Předmět:	010101 applied mathematics Physics Semi-infinite Scattering Applied Mathematics 0103 physical sciences Mathematical analysis Near and far field 0101 mathematics Impedance boundary condition 01 natural sciences Angular sector 010305 fluids & plasmas
Zdroj:	IMA Journal of Applied Mathematics. 85:87-112
ISSN:	1464-3634 0272-4960
DOI:	10.1093/imamat/hxz036
Popis:	This work is a natural continuation of our recent study devoted to the scattering of a plane incident wave by a semi-infinite impedance sector. We develop an approach that enables us to compute different components in the far-field asymptotics. The method is based on the Sommerfeld integral representation of the scattered wave field, on the careful study of singularities of the integrand and on the asymptotic evaluation of the integral by means of the saddle point technique. In this way, we describe the waves reflected from the sector, diffracted by its edges or scattered by the vertex as well as the surface waves. Discussion of the far-field in the so-called singular directions (or in the transition zones) is also addressed.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::98ca4358931f02f063eb94f7093d9665 https://doi.org/10.1093/imamat/hxz036 Zobrazit plný text záznamu Plný text ve formátu PDF