CUED Publications database

Precise description of the different far fields encountered in the problem of diffraction of acoustic waves by a quarter-plane

Assier, RC and Peake, N (2012) Precise description of the different far fields encountered in the problem of diffraction of acoustic waves by a quarter-plane. IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications), 77. pp. 605-625. ISSN 0272-4960

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Abstract

This paper provides a review of important results concerning the Geometrical Theory of Diffraction and Geometrical Optics. It also reviews the properties of the existing solution for the problem of diffraction of a time harmonic plane wave by a half-plane. New mathematical expressions are derived for the wave fields involved in the problem of diffraction of a time harmonic plane wave by a quarter-plane, including the secondary radiated waves. This leads to a precise representation of the diffraction coefficient describing the diffraction occurring at the corner of the quarter-plane. Our results for the secondary radiated waves are an important step towards finding a formula giving the corner diffraction coefficient everywhere. © 2012 The authors.

Item Type: Article
Uncontrolled Keywords: acoustic diffraction geometrical theory of diffraction quarter-plane
Subjects: UNSPECIFIED
Divisions: Div A > Energy
Depositing User: Cron job
Date Deposited: 04 Feb 2015 22:16
Last Modified: 05 Feb 2015 07:31
DOI: 10.1093/imamat/hxs042