Thin-layer solutions of the Helmholtz equation

Ockendon, J.R.; Tew, R.H.

Abstract

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 mathematical structure and tractability and one of them concerns a famous open problem of mathematical physics.

Citation

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

• Journal Article Type: Article
• Acceptance Date: Aug 11, 2020
• Online Publication Date: Oct 6, 2020
• Publication Date: 2021-10
• Deposit Date: Aug 20, 2020
• Publicly Available Date: Apr 7, 2021
• Journal: European Journal of Applied Mathematics
• Print ISSN: 0956-7925
• Publisher: Cambridge University Press
• Peer Reviewed: Peer Reviewed
• Volume: 32
• Issue: 5
• Pages: 769-783
• DOI: https://doi.org/10.1017/S0956792520000364
• Public URL: https://nottingham-repository.worktribe.com/output/4845116
• Publisher URL: https://www.cambridge.org/core/journals/european-journal-of-applied-mathematics/article/thinlayer-solutions-of-the-helmholtz-equation/A442A580DE536E09FDD4A109FF9C7906