Causality-based criteria for a negative refractive index must be used with care

Details Causality-based criteria for a negative refractive index must be used with care Causality-based criteria for a negative refractive index must be used with care

2008-12-08

arxiv.org/abs/0812.1521v1

Phys. Rev. Lett. 101, 167401 (2008)

Physics

Optics

slightly longer version of published PRL

Scientific paper

10.1103/PhysRevLett.101.167401

Using the principle of causality as expressed in the Kramers-Kronig relations, we derive a generalized criterion for a negative refractive index that admits imperfect transparency at an observation frequency $\omega$. It also allows us to relate the global properties of the loss (i.e. its frequency response) to its local behaviour at $\omega$. However, causality-based criteria rely the on the group velocity, not the Poynting vector. Since the two are not equivalent, we provide some simple examples to compare the two criteria.

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