All Outputs (2)

Thin-layer solutions of the Helmholtz equation (2020)
Journal Article
Ockendon, J., & Tew, R. (2021). Thin-layer solutions of the Helmholtz equation. European Journal of Applied Mathematics, 32(5), 769-783. https://doi.org/10.1017/S0956792520000364

This paper gives a brief overview of some configurations in which highfrequency wave propagation modelled by Helmholtz equation gives rise to solutions that vary rapidly across thin layers. The configurations are grouped according to their mathematic... Read More about Thin-layer solutions of the Helmholtz equation.

Asymptotics of near-cloaking (2020)
Journal Article
OCKENDON, J. R., OCKENDON, H., SLEEMAN, B. D., & TEW, R. H. (2021). Asymptotics of near-cloaking. European Journal of Applied Mathematics, 32(6), 1106 - 1126. https://doi.org/10.1017/s0956792520000212

This paper describes how asymptotic analysis can be used to gain new insights into the theory of cloaking of spherical and cylindrical targets within the context of acoustic waves in a class of linear elastic materials. In certain cases these configu... Read More about Asymptotics of near-cloaking.