Electromagnetic field quantization in a magnetodielectric medium with external charges

Abstract

The electromagnetic field inside a cubic cavity filled with a linear magnetodielectric medium and in the presence of external charges is quantized by modeling the magnetodielectric medium with two independent quantum fields. The electric and magnetic polarization densities of the medium are defined in terms of the ladder operators of the medium and eigenmodes of the cavity. The Maxwell and constitutive equations of the medium together with the equation of motion of the charged particles have been obtained from the Heisenberg equations using a minimal coupling scheme. The spontaneous emission of a two-level atom embedded in a magnetodielectric medium is calculated in terms of the electric and magnetic susceptibilities of the medium and the Green function of the cubic cavity, as an application of the model. © 2007 The American Physical Society.