T. Sondergaard et B. Tromborg, General theory for spontaneous emission in active dielectric microstructures: Example of a fiber amplifier - art. no. 033812, PHYS REV A, 6403(3), 2001, pp. 3812
A model for spontaneous emission in active dielectric microstructures is gi
ven 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 m
ay therefore be applied to microstructures with gain and/or absorption. The
Green's tensor is calculated for an optical fiber amplifier, and the spont
aneous emission in fiber amplifiers is studied with respect to the position
, transition frequency, and vector orientation of a spatially localized cur
rent source. Radiation patterns are studied using a Poynting vector approac
h taking into account amplification or absorption from an active medium in
the fiber.