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- Title
Precise description of the different far fields encountered in the problem of diffraction of acoustic waves by a quarter-plane.
- Authors
Assier, R. C.; Peake, N.
- 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.
- Subjects
SOUND waves; GEOMETRICAL diffraction; GEOMETRICAL optics; MATHEMATICAL analysis; MATHEMATICAL formulas; APPLIED mathematics
- Publication
IMA Journal of Applied Mathematics, 2012, Vol 77, Issue 5, p605
- ISSN
0272-4960
- Publication type
Article
- DOI
10.1093/imamat/hxs042