### Abstract

The electromagnetic field is quantized in dielectric media that show both loss and dispersion. The complex dielectric function of the medium is assumed to be a known function and the loss is modeled by Langevin forces in the forms of noise current operators. The noise current correlation function is related to the assumed dielectric function by the fluctuation-dissipation theorem. Field quantization is carried out for the infinite homogeneous dielectric, the semi-infinite dielectric, and the dielectric slab, where the fields in the second and third cases are restricted to propagation perpendicular to the dielectric surfaces. The forms of the vector potential operator are obtained in the different spatial regions for all three geometries, and in each case the required canonical commutation relation for the vector potential and its conjugate generalized momentum operator is verified. The spatial dependence of the vacuum field fluctuations is calculated for the two dielectric geometries that have surfaces.

Original language | English |
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Pages (from-to) | 4823-4838 |

Number of pages | 16 |

Journal | Physical Review A |

Volume | 52 |

Issue number | 6 |

DOIs | |

Publication status | Published - Dec 1995 |

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### Keywords

- quantum optics
- spontaneous emissions
- response functions
- finite geometries
- electrodynamics
- conductors
- dispersion

### Cite this

*Physical Review A*,

*52*(6), 4823-4838. https://doi.org/10.1103/PhysRevA.52.4823

}

*Physical Review A*, vol. 52, no. 6, pp. 4823-4838. https://doi.org/10.1103/PhysRevA.52.4823

**Electromagnetic field quantization in absorbing dielectrics.** / MATLOOB, R ; LOUDON, R ; BARNETT, S M ; JEFFERS, J .

Research output: Contribution to journal › Article

TY - JOUR

T1 - Electromagnetic field quantization in absorbing dielectrics

AU - MATLOOB, R

AU - LOUDON, R

AU - BARNETT, S M

AU - JEFFERS, J

PY - 1995/12

Y1 - 1995/12

N2 - The electromagnetic field is quantized in dielectric media that show both loss and dispersion. The complex dielectric function of the medium is assumed to be a known function and the loss is modeled by Langevin forces in the forms of noise current operators. The noise current correlation function is related to the assumed dielectric function by the fluctuation-dissipation theorem. Field quantization is carried out for the infinite homogeneous dielectric, the semi-infinite dielectric, and the dielectric slab, where the fields in the second and third cases are restricted to propagation perpendicular to the dielectric surfaces. The forms of the vector potential operator are obtained in the different spatial regions for all three geometries, and in each case the required canonical commutation relation for the vector potential and its conjugate generalized momentum operator is verified. The spatial dependence of the vacuum field fluctuations is calculated for the two dielectric geometries that have surfaces.

AB - The electromagnetic field is quantized in dielectric media that show both loss and dispersion. The complex dielectric function of the medium is assumed to be a known function and the loss is modeled by Langevin forces in the forms of noise current operators. The noise current correlation function is related to the assumed dielectric function by the fluctuation-dissipation theorem. Field quantization is carried out for the infinite homogeneous dielectric, the semi-infinite dielectric, and the dielectric slab, where the fields in the second and third cases are restricted to propagation perpendicular to the dielectric surfaces. The forms of the vector potential operator are obtained in the different spatial regions for all three geometries, and in each case the required canonical commutation relation for the vector potential and its conjugate generalized momentum operator is verified. The spatial dependence of the vacuum field fluctuations is calculated for the two dielectric geometries that have surfaces.

KW - quantum optics

KW - spontaneous emissions

KW - response functions

KW - finite geometries

KW - electrodynamics

KW - conductors

KW - dispersion

U2 - 10.1103/PhysRevA.52.4823

DO - 10.1103/PhysRevA.52.4823

M3 - Article

VL - 52

SP - 4823

EP - 4838

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

SN - 1050-2947

IS - 6

ER -