MODELING OF INTEGRATED ERBIUM-DOPED WAVE-GUIDE AMPLIFIERS WITH OVERLAPPING FACTORS METHODS

An analysis of the applicability of overlapping factors methods to the modeling of integrated erbium-doped waveguide amplifiers is presented , These methods offer as main advantage a considerable reduction in co mputation time without a decrease in their effective accuracy. We prop ose an extension of previous overlapping factors methods in order to m odel highly erbium-doped waveguide amplifiers. New sets of parameters related to the relevant upconversion and cross-relaxation mechanisms a re introduced, Some numerical examples illustrate both working-conditi ons dependent and independent overlapping factors main dependences, wh ich are fully explained. Finally, the accuracies of the results obtain able by both methods are examined and interpreted and the reduction in computation time is considered.