dorsal/arxiv
View SchemaLinear media in classical electrodynamics and the Post constraint
| Authors | Friedrich W. Hehl, Yuri N. Obukhov |
|---|---|
| Categories | |
| ArXiv ID | physics/0411038 |
| URL | https://arxiv.org/abs/physics/0411038 |
| DOI | 10.1016/j.physleta.2004.11.038 |
| Journal | Phys.Lett. A334 (2005) 249-259 |
Abstract
The Maxwell equations are formulated in a generally covariant and metric-free way in 1+3 and subsequently in 4 dimensions. For this purpose, we use the excitations $\cal D$, $\cal H$ and the field strengths $E,B$. A local and linear constitutive law between excitations and field strengths is assumed, with a constitutive tensor $\chi^{ijkl}=-\chi^{jikl}=-\chi^{ijlk}$ of 36 components. The properties of this tensor are discussed. In particular, we address the validity of the Post constraint, a subject that is very much under discussion. In this connection, the Tellegen gyrator, the axion field, and the ``perfect electromagnetic conductor'' of Lindell & Sihvola are compared with each other.
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"abstract": "The Maxwell equations are formulated in a generally covariant and metric-free\nway in 1+3 and subsequently in 4 dimensions. For this purpose, we use the\nexcitations $\\cal D$, $\\cal H$ and the field strengths $E,B$. A local and\nlinear constitutive law between excitations and field strengths is assumed,\nwith a constitutive tensor $\\chi^{ijkl}=-\\chi^{jikl}=-\\chi^{ijlk}$ of 36\ncomponents. The properties of this tensor are discussed. In particular, we\naddress the validity of the Post constraint, a subject that is very much under\ndiscussion. In this connection, the Tellegen gyrator, the axion field, and the\n``perfect electromagnetic conductor\u0027\u0027 of Lindell \u0026 Sihvola are compared with\neach other.",
"arxiv_id": "physics/0411038",
"authors": [
"Friedrich W. Hehl",
"Yuri N. Obukhov"
],
"categories": [
"physics.class-ph",
"cond-mat.mtrl-sci",
"gr-qc",
"physics.gen-ph"
],
"doi": "10.1016/j.physleta.2004.11.038",
"journal_ref": "Phys.Lett. A334 (2005) 249-259",
"title": "Linear media in classical electrodynamics and the Post constraint",
"url": "https://arxiv.org/abs/physics/0411038"
},
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