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European Quantum Electronics Conference (EQEC)

Propagation of nonclassical light through three-dimensional dispersing and absorbing multilayer dielectric plate

M. Khanbekyan, L. Knöll, D.‐G. Welsch

Published Jan 1, 2003• 1 citation
Publisher

Abstract

Propagation of nonclassical light through a dispersing and absorbing multilayer dielectric plate is studied using the theory of quantization of the electromagnetic field in causal dielectric media. 3D input-output relations is derived, describing the medium by a stepwise constant, complex permittivity that satisfies the Kramers-Kronig relations and allowing for arbitrary additional atomic sources.

DOI
10.1109/eqec.2003.1314223

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Propagation of nonclassical light through a dispersing and absorbing multilayer dielectric plate is studied using the theory of quantization of the electromagnetic field in causal dielectric media. 3D input-output relations is derived, describing the medium by a stepwise constant, complex permittivity that satisfies the Kramers-Kronig relations and allowing for arbitrary additional atomic sources.
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Using the Green-function approach to the problem of quantization of the phenomenological Maxwell theory, the propagation of quantized radiation through dispersive and absorptive multilayer dielectric plates is studied. Input-output relations are derived, with special emphasis on the determination of the quantum noise generators associated with the absorption of radiation inside the dielectric matter. The input-output relations are used to express arbitrary correlation functions of the outgoing field in terms of correlation functions of the incoming field and those of the noise generators. To illustrate the theory, photons at dielectric tunneling barriers are considered. It is shown that inclusion in the calculations of losses in the photonic band gaps may substantially change the barrier traversal times. \textcopyright{} 1996 The American Physical Society.
We present a three-dimensional quantum theory of light scattering, absorption, and emission in arbitrary planar dielectric systems. The theory is based on a scheme for quantization of the electromagnetic field in dispersive and lossy arbitrary planar dielectrics that takes explicitly into account the finite extent of the medium. We present general quantum-optical input–output relations of the output TE and TM photon operators to the corresponding input photon operators and to the reservoir noise operators. These three-dimensional input–output relations are uniquely determined by knowledge of the classical light modes of the planar dielectric structure.
Quantization of the phenomenological Maxwell theory of the electromagnetic field in dispersive and absorbing dielectrics has been of increasing interest over the last years since it allows for a consistent formulation of quantum optics in the presence of dielectric bodies. We show, using a Dyson-type integral representation of the Green tensor, that the quantization scheme is consistent with QED for both isotropic and anisotropic media and therefore applies to arbitrary linear Kramers-Kronig media including amplifying media.
Using the Green function approach to the problem of quantization of the phenomenological Maxwell theory, the propagation of quantized radiation through dispersive and absorptive multilayer dielectric plates is studied. Input--output relations are derived, with special emphasis on the determination of the quantum noise generators associated with the absorption of radiation inside the dielectric matter. The input--output relations are used to express arbitrary correlation functions of the outgoing field in terms of correlation functions of the incoming field and those of the noise generators. To illustrate the theory, the effect of a single-slab plate on the mean photon-number densities in the frequency domain is discussed in more detail.