English

A caustic terminating at an inflection point

Analysis of PDEs 2023-12-07 v2

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.

Cite

@article{arxiv.2310.13406,
  title  = {A caustic terminating at an inflection point},
  author = {J. R. Ockendon and H. Ockendon and R. H. Tew and D. P. Hewett and A. Gibbs},
  journal= {arXiv preprint arXiv:2310.13406},
  year   = {2023}
}
R2 v1 2026-06-28T12:56:42.765Z