dorsal/arxiv
View SchemaVortex lines of the electromagnetic field
| Authors | Iwo Bialynicki-Birula, Zofia Bialynicka-Birula |
|---|---|
| Categories | |
| ArXiv ID | physics/0305012 |
| URL | https://arxiv.org/abs/physics/0305012 |
| DOI | 10.1103/PhysRevA.67.062114 |
| Journal | Phys. Rev. A 67, 062114 (2003) |
Abstract
Relativistic definition of the phase of the electromagnetic field, involving two Lorentz invariants, based on the Riemann-Silberstein vector is adopted to extend our previous study [I. Bialynicki-Birula, Z. Bialynicka-Birula and C. Sliwa, Phys. Rev. A 61, 032110 (2000)] of the motion of vortex lines embedded in the solutions of wave equations from Schroedinger wave mechanics to Maxwell theory. It is shown that time evolution of vortex lines has universal features; in Maxwell theory it is very similar to that in Schroedinger wave mechanics. Connection with some early work on geometrodynamics is established. Simple examples of solutions of Maxwell equations with embedded vortex lines are given. Vortex lines in Laguerre-Gaussian beams are treated in some detail.
{
"annotation_id": "f384a0ee-59e8-46b7-91d3-78eedf2837ce",
"date_created": "2026-03-02T18:00:43.252000Z",
"date_modified": "2026-03-02T18:00:43.252000Z",
"file_hash": "b574cea6a35eb8b437014add857d7e1645a1f0709c7a65c1299287ce67ffeb4b",
"private": false,
"record": {
"abstract": "Relativistic definition of the phase of the electromagnetic field, involving\ntwo Lorentz invariants, based on the Riemann-Silberstein vector is adopted to\nextend our previous study [I. Bialynicki-Birula, Z. Bialynicka-Birula and C.\nSliwa, Phys. Rev. A 61, 032110 (2000)] of the motion of vortex lines embedded\nin the solutions of wave equations from Schroedinger wave mechanics to Maxwell\ntheory. It is shown that time evolution of vortex lines has universal features;\nin Maxwell theory it is very similar to that in Schroedinger wave mechanics.\nConnection with some early work on geometrodynamics is established. Simple\nexamples of solutions of Maxwell equations with embedded vortex lines are\ngiven. Vortex lines in Laguerre-Gaussian beams are treated in some detail.",
"arxiv_id": "physics/0305012",
"authors": [
"Iwo Bialynicki-Birula",
"Zofia Bialynicka-Birula"
],
"categories": [
"physics.class-ph",
"physics.gen-ph"
],
"doi": "10.1103/PhysRevA.67.062114",
"journal_ref": "Phys. Rev. A 67, 062114 (2003)",
"title": "Vortex lines of the electromagnetic field",
"url": "https://arxiv.org/abs/physics/0305012"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "dbda2618-34cb-4875-85ad-7d806d2238b2",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}