Diffraction by a right-angled impedance wedge: an edge source formulation.

Author: 

Hewett, D
Morris, A

Publication Date: 

February 2015

Journal: 

The Journal of the Acoustical Society of America

Last Updated: 

2019-08-13T17:01:02.993+01:00

Issue: 

2

Volume: 

137

DOI: 

10.1121/1.4906265

page: 

633-639

abstract: 

This paper concerns the frequency domain problem of diffraction of a plane wave incident on an infinite right-angled wedge on which impedance (absorbing) boundary conditions are imposed. It is demonstrated that the exact Sommerfeld-Malyuzhinets contour integral solution for the diffracted field can be transformed to a line integral over a physical variable along the diffracting edge. This integral can be interpreted as a superposition of secondary point sources (with directivity) positioned along the edge, in the spirit of the edge source formulations for rigid (sound-hard) wedges derived by Svensson et al. [Acta Acust. Acust. 95, 568-572 (2009)]. However, when surface waves are present the physical interpretation of the edge source integral must be altered: it no longer represents solely the diffracted field, but rather it includes surface wave contributions.

Symplectic id: 

508137

Submitted to ORA: 

Not Submitted

Publication Type: 

Journal Article