Canonical quantization of macroscopic electrodynamics in a linear, inhomogeneous magneto-electric medium

摘要

We present a canonical quantization of macroscopic electrodynamics. Theresults apply to inhomogeneous media with a broad class of linearmagneto-electric responses which are consistent with the Kramers-Kronig andOnsager relations. Through its ability to accommodate strong dispersion andloss, our theory provides a rigorous foundation for the study of quantumoptical processes in structures incorporating metamaterials, provided these maybe modeled as magneto-electric media. Previous canonical treatments ofdielectric and magneto-dielectric media have expressed the electromagneticfield operators in either a Green function or mode expansion representation.Here we present our results in the mode expansion picture with a view toapplications in guided wave and cavity quantum optics.