Electromagnetic field quantization in a linear polarizable and magnetizable medium
نویسنده
چکیده
By modeling a linear polarizable and magnetizable medium (magnetodielectric) 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, ~ 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.
منابع مشابه
Canonical quantization of electromagnetic field in an anisotropic polarizable and magnetizable medium
A fully canonical quantization of electromagnetic field is introduced in the presence of an anisotropic polarizable and magnetizable medium with spatialtemporal dispersion. 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 conclu...
متن کاملCanonical quantization of electromagnetic field in an anisotropic polarizable and magnetizable medium with spatial-temporal dispersion
Modeling an anisotropic spatially and temporarily dispersive magnetodielectric medium by two independent collections of three dimensional vector fields, we demonstrate a fully canonical quantization of electromagnetic field in the presence of such a medium. Two tensor fields which couple the electromagnetic field with the medium and have an important role in this quantization method are introdu...
متن کاملPerturbative Approach to Calculating the Correlation Function of bi-isotropic Metamaterials
A bi-isotropic magneto-electric metamaterials is modeled by two independent reservoirs. The reservoirs contain a continuum of three dimensional harmonic oscillators, which describe polarizability and magnetizability of the medium. The paper aimed to investigate the effect of electromagnetic field on bi-isotropic. Starting with a total Lagrangian and using Euler-Lagrange equation, researcher cou...
متن کاملA Canonical Relativistic Approach to Quantize Electromagnetic Field in the Presence of Moving Magneto-Dielectric Media
A canonical relativistic formulation is introduced to quantize electromagnetic field in the presence of a polarizable and magnetizable moving medium. The medium is modeled by a continuum of the second rank antisymmetric tensors in a phenomenological way. The covariant wave equation for the vector potential and the covariant constitutive equation of the medium are obtained as the EulerLagrange e...
متن کاملQuantization of electromagnetic fields in the presence of a spherical semiconductor quantum dot and spontaneous decay of an excited atom doped in this nanostructure
In this paper we consider electromagnetic field quantization in the presence of a dispersive and absorbing semiconductor quantum dot. By using macroscopic approach and Green's function method, quantization of electromagnetic field is investigated. Interaction of a two-level atom , which is doped in a semiconductor quantum dot, with the quantized field is considered and its spontaneous emission ...
متن کامل