Canonical quantization of electromagnetic field in the presence of absorbing bi-anisotropic multilayer magnetodielectric media

TL;DR

This paper presents a canonical quantization method for the electromagnetic field interacting with complex multilayer bi-anisotropic magnetodielectric media, modeling the medium with harmonic oscillators and solving the system's Heisenberg equations.

Contribution

It introduces a fully canonical quantization framework for electromagnetic fields in bi-anisotropic media, extending previous models to multilayer structures.

Findings

Derived explicit expressions for electric and magnetic polarization fields.

Solved Heisenberg equations for multilayer bi-anisotropic media.

Established a consistent quantization scheme for complex media.

Abstract

A bi-anisotropic magnetodielectric medium is modeled by two independent set of three dimensional harmonic oscillators .A fully canonical quantization of electromagnetic field is demonstrated in the presence of a bi-anisotropic magnetodielectric medium. The electric and magnetic polarization fields of the medium are obtained in terms of the dynamical variable modeling the medium. The Heisenberg equations of the system are solved for a multilayer bi-anisotropic magnetodielectric medium.