## Three-dimensional quantum-optical input–output relations for arbitrary planar dielectrics

JOSA B, Vol. 19, Issue 2, pp. 304-311 (2002)

http://dx.doi.org/10.1364/JOSAB.19.000304

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### Abstract

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.

© 2002 Optical Society of America

**OCIS Codes**

(270.0270) Quantum optics : Quantum optics

(270.5580) Quantum optics : Quantum electrodynamics

**Citation**

Salvatore Savasta, Omar Di Stefano, and Raffaello Girlanda, "Three-dimensional quantum-optical input–output relations for arbitrary planar dielectrics," J. Opt. Soc. Am. B **19**, 304-311 (2002)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-19-2-304

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