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Towards a classification of wave catastrophes

2003/09/05 by Tamas Kiss, T Kiss, Ulf Leonhardt +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Electrodynamics and Casimir Effect #Quantum and Classical Electrodynamics #gr-qc #physics.optics

paper · pdf · doi:10.1088/1464-4258/6/5/019

arxiv created 2003/09/05 · openalex publication_date 2004/04/20 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations