Green’s function approach to spontaneous emission in passive and active optical fibres

Stéphane Martin, Guang–Hua Duan

Graham D. Marshall, Eric C. Magi, B. Eggelton +5 more

V. Sochor, T. T. Tam

Thomas Møller Søndergaard, B. Tromborg

A model for spontaneous emission in active dielectric microstructures is given in terms of the classical electric field Green's tensor and the quantum-mechanical operators for the generating currents. A formalism is given for calculating the Green's tensor, which does not rely on the existence of a complete power orthogonal set of electromagnetic modes, and the formalism may therefore be applied to microstructures with gain and/or absorption. The Green's tensor is calculated for an optical fiber amplifier, and the spontaneous emission in fiber amplifiers is studied with respect to the position, transition frequency, and vector orientation of a spatially localized current source. Radiation patterns are studied using a Poynting vector approach taking into account amplification or absorption from an active medium in the fiber.

Vladislav Cheltsov

The Green function formalism together with the new algorithm in operating with -functions has been used to obtain the 3-peaked spectrum of spontaneous emission of an atom in a weakly damped cavity. The single peaked spectrum and exponential decay law with short (1/Tc) and long (lc/g2) decay times have been shown to exist in the strongly damped cavity.

Luc Thévenaz A