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Shoghi A, Amooshahi M. Canonical quantization of electromagnetic field in the presence of a bi-anisotropic absorbing magneto-dielectric slab between two parallel perfectly conducting plates. ICOP & ICPET _ INPC _ ICOFS 2018; 24 :269-272
URL: http://opsi.ir/article-1-1591-en.html
URL: http://opsi.ir/article-1-1591-en.html
1- Department of Physics , University of Isfahan
Abstract: (2355 Views)
Modeling a bi-anisotropic absorbing magneto-dielectric slab by two continuum collections of the space-time dependent harmonic oscillators , a fully canonical quantization of electromagnetic field is achieved in the presence of such a magneto-dielectric slab inserted between two parallel perfectly conducting plates. The Gauss and Maxwell's laws are obtained as the classical Euler-Lagrange equations of the total system. Also the constitutive relations of the magneto-dielectric slab are obtained using the classical Euler-Lagrange equations of the harmonic oscillators modeling the magneto-dielectric slab. The electric and magnetic susceptibility tensors of the bi-anisotropic magneto-dielectric slab are expressed in terms of the coupling tensors that couple the electromagnetic field to the magneto-dielectric slab. The mode expansions of dynamical variables of the electromagnetic field and the magneto-dielectric slab are given and the ladder operators of the total system are introduced.
Keywords: Canonical quantization, Bi- anisotropic magneto-dielectric slab, Constitutive relations, Susceptibility tensors, Coupling tensors.
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