dorsal/arxiv
View SchemaQED commutation relations for inhomogeneous Kramers-Kronig dielectrics
| Authors | S. Scheel, L. Knoell, D. -G. Welsch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9803031 |
| URL | https://arxiv.org/abs/quant-ph/9803031 |
| DOI | 10.1103/PhysRevA.58.700 |
Abstract
Recently a quantization scheme for the phenomenological Maxwell theory of the full electromagnetic field in an inhomogeneous three-dimensional, dispersive, and absorbing dielectric medium has been developed and applied to a system consisting of two infinite half-spaces with a common planar interface (H.T. Dung, L. Knoell, and D.-G. Welsch, Phys. Rev. A 57, in press). Here we show that the scheme, which is based on the classical Green-tensor integral representation of the electromagnetic field, applies to any inhomogeneous medium. For this purpose we prove that the fundamental equal-time commutation relations of QED are preserved for an arbitrarily space-dependent, Kramers--Kronig consistent permittivity. Further, an extension of the quantization scheme to linear media with bounded regions of amplification is given, and the problem of anisotropic media is briefly addressed.
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"abstract": "Recently a quantization scheme for the phenomenological Maxwell theory of the\nfull electromagnetic field in an inhomogeneous three-dimensional, dispersive,\nand absorbing dielectric medium has been developed and applied to a system\nconsisting of two infinite half-spaces with a common planar interface (H.T.\nDung, L. Knoell, and D.-G. Welsch, Phys. Rev. A 57, in press). Here we show\nthat the scheme, which is based on the classical Green-tensor integral\nrepresentation of the electromagnetic field, applies to any inhomogeneous\nmedium. For this purpose we prove that the fundamental equal-time commutation\nrelations of QED are preserved for an arbitrarily space-dependent,\nKramers--Kronig consistent permittivity. Further, an extension of the\nquantization scheme to linear media with bounded regions of amplification is\ngiven, and the problem of anisotropic media is briefly addressed.",
"arxiv_id": "quant-ph/9803031",
"authors": [
"S. Scheel",
"L. Knoell",
"D. -G. Welsch"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.58.700",
"title": "QED commutation relations for inhomogeneous Kramers-Kronig dielectrics",
"url": "https://arxiv.org/abs/quant-ph/9803031"
},
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