---
abstract: |
    A fully canonical quantization of electromagnetic field is introduced in the presence of an anisotropic polarizable and magnetizable medium . Two tensor fields which couple the electromagnetic field with the medium and have an important role in this quantization method are introduced. The electric and magnetic polarization fields of the medium naturally are concluded in terms of the coupling tensors and the dynamical variables modeling the magnetodielectric medium. In Heisenberg picture, the constitutive equations of the medium together with the Maxwell laws are obtained as the equations of motion of the total system and the susceptibility tensors of the medium are calculated in terms of the coupling tensors. Following a perturbation method the Green function related to the total system is found and the time dependence of electromagnetic field operators is derived.\
    **Key words:** Canonical field quantization, Magnetodielectric medium, conductivity tensor, Susceptibility tensor, Coupling tensor, Constitutive equation\
    PACS No: 12.20.Ds, 42.50.Nn
author:
- |
    M. Amooshahi$^{1}$ [^1]\
    $^{1}$ [Faculty of science, University of Isfahan ,Hezar Jarib Ave., Isfahan,Iran]{}
title: Canonical quantization of the electromagnetic field in an anisotropic polarizable and magnetizable medium
---

introduction
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One of the most important quantum dissipative systems is the quantized electromagnetic 