Electromagnetic field quantization in a linear polarizable and magnetizable medium

Abstract

By modeling a linear polarizable and magnetizable medium (magneto-dielectric) with two quantum fields, namely E and M, electromagnetic field is quantized in such a medium consistently and systematically. A Hamiltonian is proposed from which, using the Heisenberg equations, Maxwell and constitutive equations of the medium are obtained. For a homogeneous medium, the equation of motion of the quantum vector potential, $\vec{A}$, is derived and solved analytically. Two coupling functions which describe the electromagnetic properties of the medium are introduced. Four examples are considered showing the features and the applicability of the model to both absorptive and nonabsorptive magneto-dielectrics.

23 pages, Accepted for publication in Phy.Rev A

References in corpus (4)

• Electromagnetic-field quantization and spontaneous decay in left-handed media
• Field quantization in inhomogeneous absorptive dielectrics
• Canonical and kinetic forms of the electromagnetic momentum in an ad hoc quantization scheme for a dispersive dielectric
• Input-output relations at dispersing and absorbing planar multilayers for the quantized electromagnetic field containing evanescent components

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• A Canonical Relativistic Approach to Quantize Electromagnetic Field in the Presence of Moving Magneto-Dielectric Media
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