Volume 35, Number 4, August I 1996
|Page(s)||265 - 270|
|Section||Atomic, molecular and optical physics|
|Published online||01 September 2002|
Optical emission in periodic dielectrics
Van der Waals-Zeeman Instituut, Universiteit van Amsterdam, Valckenierstraat
65-67, 1018 XE Amsterdam, The Netherlands
2 Laboratoire de Physique Numérique des Systèmes Complexes/CNRS, Maison des Magistères, Université Joseph Fourier - 38042 Grenoble Cedex 9, France
3 FOM Institute for Atomic and Molecular Physics, Kruislaan 407, 1098 SJ Amsterdam, The Netherlands
Accepted: 13 June 1996
We show rigorously that the coefficient for spontaneous emission of an atom placed in a dielectric is proportional to the local radiative density of states —that is only a part of the local density of the eigenmodes of the Maxwell equations. Spontaneous emission is inhibited if the atom is located at a position where this local radiative density is small, even if the total density of states is not vanishing. This radiative density of states can be obtained without having to perform a full quantum calculation of the radiation-matter system. We demonstrate this principle by solving numerically a scalar model for a dielectric that consists of a lattice of resonating dipoles.
PACS: 32.70.Cs – Oscillator strengths, lifetimes, transition moments / 32.80.Pj – Optical cooling of atoms; trapping / 42.50.Lc – Quantum fluctuations, quantum noise, and quantum jumps
© EDP Sciences, 1996
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