A caustic terminating at an inflection point

Ockendon, J R; Ockendon, H; Tew, R H; Hewett, D P; Gibbs, A

Abstract

We present an asymptotic and numerical study of the evolution of an incoming wavefield which has a caustic close to a curve with an inflection point. Our results reveal the emergence of a wavefield which resembles that of a shadow boundary but has a maximum amplitude along the tangent at the inflection point.

Citation

Ockendon, J. R., Ockendon, H., Tew, R. H., Hewett, D. P., & Gibbs, A. (2024). A caustic terminating at an inflection point. Wave Motion, 125, Article 103257. https://doi.org/10.1016/j.wavemoti.2023.103257

• Journal Article Type: Article
• Acceptance Date: Dec 1, 2023
• Online Publication Date: Dec 14, 2023
• Publication Date: 2024-02
• Deposit Date: Dec 8, 2023
• Publicly Available Date: Dec 19, 2023
• Journal: Wave Motion
• Print ISSN: 0165-2125
• Electronic ISSN: 1878-433X
• Publisher: Elsevier
• Peer Reviewed: Peer Reviewed
• Volume: 125
• Article Number: 103257
• DOI: https://doi.org/10.1016/j.wavemoti.2023.103257
• Keywords: Canonical scattering; Caustic; Popov inflection point problem; Stationary phase; Steepest descent
• Public URL: https://nottingham-repository.worktribe.com/output/28151184
• Publisher URL: https://www.sciencedirect.com/science/article/pii/S0165212523001439?via%3Dihub
• Additional Information: This article is maintained by: Elsevier; Article Title: A caustic terminating at an inflection point; Journal Title: Wave Motion; CrossRef DOI link to publisher maintained version: https://doi.org/10.1016/j.wavemoti.2023.103257; Content Type: article; Copyright: © 2023 The Author(s). Published by Elsevier B.V.