Towards a classification of wave catastrophes

Physics – Optics

Scientific paper

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Scientific paper

10.1088/1464-4258/6/5/019

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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