Linear media in classical electrodynamics and the Post constraint
نویسندگان
چکیده
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 D, 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 = −χjikl = −χijlk 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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