dorsal/arxiv
View SchemaTowards a classification of wave catastrophes
| Authors | Tamas Kiss, Ulf Leonhardt |
|---|---|
| Categories | |
| ArXiv ID | physics/0309036 |
| URL | https://arxiv.org/abs/physics/0309036 |
| DOI | 10.1088/1464-4258/6/5/019 |
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.
{
"annotation_id": "65f4012f-ce2e-41ea-b093-67b83fecda78",
"date_created": "2026-03-02T18:00:46.544000Z",
"date_modified": "2026-03-02T18:00:46.544000Z",
"file_hash": "9027ff5fd559c254a13abddcdc3c3a18f7eb7c4369bdb53bbe8a24b1af90ab29",
"private": false,
"record": {
"abstract": "Wave catastrophes are characterized by logarithmic phase singularities.\nExamples are light at the horizon of a black hole, sound in transsonic fluids,\nwaves in accelerated frames, light in singular dielectrics and slow light close\nto a zero of the group velocity. We show that the wave amplitude grows with a\nhalf-integer power for monodirectional and symmetric wave catastrophes.",
"arxiv_id": "physics/0309036",
"authors": [
"Tamas Kiss",
"Ulf Leonhardt"
],
"categories": [
"physics.optics",
"gr-qc"
],
"doi": "10.1088/1464-4258/6/5/019",
"title": "Towards a classification of wave catastrophes",
"url": "https://arxiv.org/abs/physics/0309036"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "bf9cca3f-f5f6-4c63-b61b-6397752025c3",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}