5 papers
On the Wiener-Hopf solution of water-wave interaction with a submerged elastic or poroelastic plate
M. J. A. Smith, M. A. Peter, I. D. Abrahams +1
A solution to the problem of water-wave scattering by a semi-infinite submerged thin elastic plate, which is either porous or non-porous, is presented using the Wiener-Hopf techniq…
On the asymptotic properties of a canonical diffraction integral
Raphael C. Assier, I. David Abrahams
We introduce and study a new canonical integral, denoted , depending on two complex parameters and . It arises from the canonical problem of wave d…
A Proof that Multiple Waves Propagate in Ensemble-Averaged Particulate Materials
Artur Lewis Gower, Ian David Abrahams, William J. Parnell
Effective medium theory aims to describe a complex inhomogeneous material in terms of a few important macroscopic parameters. To characterise wave propagation through an inhomogene…
A surprising observation on the quarter-plane diffraction problem
Raphael C. Assier, I. David Abrahams
In this paper, we revisit Radlow's highly original attempt at a double Wiener-Hopf solution to the canonical problem of wave diffraction by a quarter-plane. Using a constructive ap…
Multiple Waves Propagate in Random Particulate Materials
Artur Lewis Gower, William J. Parnell, Ian David Abrahams
For over 70 years it has been assumed that scalar wave propagation in (ensemble-averaged) random particulate materials can be characterised by a single effective wavenumber. Here,…