On the consistency of certain constitutive relations with quantum electromagnetism

Details On the consistency of certain constitutive relations with quantum electromagnetism On the consistency of certain constitutive relations with quantum electromagnetism

2011-06-10

arxiv.org/abs/1106.2178v4

Physics

Optics

11 pages

Scientific paper

Recent work by T. G. Philbin [1] has provided a Lagrangian theory that establishes a general method for the canonical quantization of the electromagnetic field in any dispersive, lossy, linear dielectric. Working from this theory, we extend the Lagrangian description to reciprocal and non- reciprocal magnetoelectric (bi-anisotropic) media, showing that some versions of the constitutive relations are inconsistent with a real Lagrangian, and hence with quantization. This amounts to a restriction on the magnitude of the magnetoelectric coupling. Moreover from the point of view of quantization, moving media are shown to be fundamentally different from stationary magnetoelectrics, despite the formal similarity in the constitutive relations.

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