Ockendon, JR;
Ockendon, H;
Tew, RH;
Hewett, DP;
Gibbs, A;
(2024)
A caustic terminating at an inflection point.
Wave Motion
, 125
, Article 103257. 10.1016/j.wavemoti.2023.103257.
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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.
| Type: | Article |
|---|---|
| Title: | A caustic terminating at an inflection point |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1016/j.wavemoti.2023.103257 |
| Publisher version: | http://dx.doi.org/10.1016/j.wavemoti.2023.103257 |
| Language: | English |
| Additional information: | This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third-party material in this article are included in the Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/ |
| Keywords: | Canonical scattering, Caustic, Popov inflection point problem, Stationary phase, Steepest descent |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10184848 |
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