Analysis of theoretical models for erbium-doped silica fibre lasers

A theoretical model for erbium-doped silica fibre lasers including the powe r modal distribution is developed. Using overlapping factors, an alternativ e theoretical model is proposed where analytical equations are obtained. Th e lasing wavelength is found without the requirement of being established b eforehand by means of filters. Moreover, the theoretical model based on one overlapping factor is now solved using a new method based on a parameteris ed analytical pump power evolution, providing directly the laser wavelength as well as more accurate fluorescence spectra combined with very short com putation times. Finally a combined model is also developed to provide solut ions of the standard model with serious improvements in accuracy and comput ation time. (C) 2001 Elsevier Science B.V. All rights reserved.