Linear media in classical electrodynamics and the Post constraint

Friedrich W. Hehl; Yuri N. Obukhov

doi:10.1016/j.physleta.2004.11.038

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Linear media in classical electrodynamics and the Post constraint

Friedrich W. Hehl·Yuri N. Obukhov

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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 $χ^{ijkl}=-χ^{jikl}=-χ^{ijlk}$ 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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physics.class-ph cond-mat.mtrl-sci gr-qc physics.gen-ph

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Friedrich W. Hehl, Yuri N. Obukhov. 2004-11-03. Linear media in classical electrodynamics and the Post constraint. https://doi.org/10.1016/j.physleta.2004.11.038

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