dorsal/arxiv
View SchemaElectromagnetic vortex lines riding atop null solutions of the Maxwell equations
| Authors | Iwo Bialynicki-Birula |
|---|---|
| Categories | |
| ArXiv ID | physics/0309112 |
| URL | https://arxiv.org/abs/physics/0309112 |
| DOI | 10.1088/1464-4258/6/5/007 |
| Journal | J. of Optics A: Pure Appl. Opt. 6, S181 (2004) |
Abstract
New method of introducing vortex lines of the electromagnetic field is outlined. The vortex lines arise when a complex Riemann-Silberstein vector $({\bm E} + i{\bm B})/\sqrt{2}$ is multiplied by a complex scalar function $\phi$. Such a multiplication may lead to new solutions of the Maxwell equations only when the electromagnetic field is null, i.e. when both relativistic invariants vanish. In general, zeroes of the $\phi$ function give rise to electromagnetic vortices. The description of these vortices benefits from the ideas of Penrose, Robinson and Trautman developed in general relativity.
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"abstract": "New method of introducing vortex lines of the electromagnetic field is\noutlined. The vortex lines arise when a complex Riemann-Silberstein vector\n$({\\bm E} + i{\\bm B})/\\sqrt{2}$ is multiplied by a complex scalar function\n$\\phi$. Such a multiplication may lead to new solutions of the Maxwell\nequations only when the electromagnetic field is null, i.e. when both\nrelativistic invariants vanish. In general, zeroes of the $\\phi$ function give\nrise to electromagnetic vortices. The description of these vortices benefits\nfrom the ideas of Penrose, Robinson and Trautman developed in general\nrelativity.",
"arxiv_id": "physics/0309112",
"authors": [
"Iwo Bialynicki-Birula"
],
"categories": [
"physics.class-ph",
"physics.gen-ph"
],
"doi": "10.1088/1464-4258/6/5/007",
"journal_ref": "J. of Optics A: Pure Appl. Opt. 6, S181 (2004)",
"title": "Electromagnetic vortex lines riding atop null solutions of the Maxwell equations",
"url": "https://arxiv.org/abs/physics/0309112"
},
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