Relationship between the Kramers-Kronig relations and negative index of refraction

Details Relationship between the Kramers-Kronig relations and negative index of refraction Relationship between the Kramers-Kronig relations and negative index of refraction

2010-07-02

arxiv.org/abs/1007.0377v2

Phys. Rev A 2010

Physics

Optics

4 pages, 4 figures, Accepted by Physical Review A but not yet published due to an editorial objection to an acknowledgment

Scientific paper

The condition for a negative index of refraction with respect to the vacuum index is established in terms of permittivity and permeability susceptibilities. It is found that the imposition of analyticity to satisfy the Kramers-Kronig relations is a sufficiently general criterion for a physical negative index. The satisfaction of the Kramers-Kronig relations is a manifestation of the principle of causality and the predicted frequency region of negative index agrees with the Depine-Lakhtakia condition for the phase velocity being anti-directed to the Poynting vector, although the conditions presented here do not assume {\it a priori} a negative solution branch for n.

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