Canonical quantization of electromagnetism in spatially dispersive media
Philbin, Thomas G.
New Journal of Physics
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We ﬁnd the action that describes the electromagnetic ﬁeld in a spatially dispersive, homogeneous medium. This theory is quantized and the Hamiltonian is diagonalized in terms of a continuum of normal modes. It is found that the introduction of nonlocal response in the medium automatically regulates some previously divergent results, and we calculate a ﬁnite value for the intensity of the electromagnetic ﬁeld at a ﬁxed frequency within a homogeneous medium. To conclude we discuss the potential importance of spatial dispersion in taming the divergences that arise in calculations of Casimir-type effects.
Copyright © 2014 IOP Publishing
Open Access Journal
Vol. 16, Article 013030