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Towards a classification of wave catastrophes

Tamas Kiss·Ulf Leonhardt
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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.

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Tamas Kiss, Ulf Leonhardt. 2003-09-05. Towards a classification of wave catastrophes. https://doi.org/10.1088/1464-4258%2F6%2F5%2F019

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