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

## 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 |
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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 |