Quantum approach to electromagnetic energy transfer between two dielectric bodies

Janowicz, Maciej; Reddig, Daniel; Holthaus, Martin

doi:10.1103/physreva.68.043823

Cited by 31 publications

(24 citation statements)

References 55 publications

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“…Once the noise term has been found, it can be used for the complete diagonalization of the Hamiltonian. In the following we shall show how this can be achieved by employing a Laplace-transform technique as in [15,16].…”

Section: Introductionmentioning

confidence: 99%

Field quantization in inhomogeneous absorptive dielectrics

2004

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The quantization of the electromagnetic field in a three-dimensional inhomogeneous dielectric medium with losses is carried out in the framework of a damped-polariton model with an arbitrary spatial dependence of its parameters. The equations of motion for the canonical variables are solved explicitly by means of Laplace transformations for both positive and negative time. The dielectric susceptibility and the quantum noise-current density are identified in terms of the dynamical variables and parameters of the model. The operators that diagonalize the Hamiltonian are found as linear combinations of the canonical variables, with coefficients depending on the electric susceptibility and the dielectric Green function. The complete time dependence of the electromagnetic field and of the dielectric polarization is determined. Our results provide a microscopic justification of the phenomenological quantization scheme for the electromagnetic field in inhomogeneous dielectrics.

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Section: Introductionmentioning

confidence: 99%

Field quantization in inhomogeneous absorptive dielectrics

2004

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“…As in the theory of Brownian motion, the correlation functions of these "forces" then are of central importance. As a consequence of the fluctuation-dissipation theorem, they acquire the forms [24,25] …”

Section: Elements Of Fluctuational Electrodynamicsmentioning

confidence: 99%

Thermal radiation and near-field energy density of thin metallic films

2007

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We study the properties of thermal radiation emitted by a thin dielectric slab, employing the framework of macroscopic fluctuational electrodynamics. Particular emphasis is given to the analytical construction of the required dyadic Green's functions. Based on these, general expressions are derived for both the system's Poynting vector, describing the intensity of propagating radiation, and its energy density, containing contributions from non-propagating modes which dominate the near-field regime. An extensive discussion is then given for thin metal films. It is shown that the radiative intensity is maximized for a certain film thickness, due to Fabry-Perot-like multiple reflections inside the film. The dependence of the near-field energy density on the distance from the film's surface is governed by an interplay of several length scales, and characterized by different exponents in different regimes. In particular, this energy density remains finite even for arbitrarily thin films. This unexpected feature is associated with the film's low-frequency surface plasmon polariton. Our results also serve as reference for current near-field experiments which search for deviations from the macroscopic approach.

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“…Hence, if we know the classical electromagnetic Green's functions G E and G H for a given geometry we can evaluate the correlation functions of the fields allowing for determining for example Casimir forces or heat fluxes. Although some purely quantum mechanical approaches exist (Agarwal (1975);Janowicz et al (2003); Lifshitz and Pitaevskii (2002)) fluctuating electrodynamics has the advantage of being conceptionally simple while giving the correct results for the correlation functions of the fields.…”

Section: Fluctuating Electrodynamicsmentioning

confidence: 99%