4 September 2008 Negative refraction and covariance: the perils of P • k < 0
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Abstract
By way of examples in vacuum and media, we show that the criterion used widely to determine the occurrence of negative phase velocity propagation is not covariant. A new covariant criterion is presented that reduces to the previous criterion in the rest frame of a medium. The new criterion requires calculation of the plane wave electromagnetic modes of a generalized medium in terms of the four-potential, Aν. Some of the subtleties of removing the gauge freedom inherent in Aν are highlighted.
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Martin W. McCall, Martin W. McCall, } "Negative refraction and covariance: the perils of P • k < 0", Proc. SPIE 7029, Metamaterials: Fundamentals and Applications, 70290Y (4 September 2008); doi: 10.1117/12.796495; https://doi.org/10.1117/12.796495
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