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Towards a classification of wave catastrophes

Optics 2009-11-10 v1 General Relativity and Quantum Cosmology

Abstract

Wave catastrophes are characterized by logarithmic phase singularities. Examples are light at the horizon of a black hole, sound in transsonic fluids, waves in accelerated frames, light in singular dielectrics and slow light close to a zero of the group velocity. We show that the wave amplitude grows with a half-integer power for monodirectional and symmetric wave catastrophes.

Keywords

Cite

@article{arxiv.physics/0309036,
  title  = {Towards a classification of wave catastrophes},
  author = {Tamas Kiss and Ulf Leonhardt},
  journal= {arXiv preprint arXiv:physics/0309036},
  year   = {2009}
}
R2 v1 2026-07-22T18:57:08.544Z