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2014.61: Precise description of the different far fields encountered in the problem of diffraction of acoustic waves by a quarter-plane

2014.61: Raphael Assier and Nigel Peake (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, 77 (5). pp. 605-625.

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DOI: 10.1093/imamat/hxs042

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.

Item Type:Article
Additional Information:

This article is an invitation publication, following the award of the Lighthill-Thwaites prize, awarded for the 2012 Wave Motion paper.

Uncontrolled Keywords: geometrical theory of diffraction acoustic diffraction quarter-plane
Subjects:MSC 2000 > 30 Functions of a complex variable
MSC 2000 > 35 Partial differential equations
MSC 2000 > 44 Integral transforms, operational calculus
MSC 2000 > 78 Optics, electromagnetic theory
PACS 2003 > 43 Acoustics
MIMS number:2014.61
Deposited By:Dr Raphael Assier
Deposited On:08 December 2014

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