Modelling of gain profiles and Raman lasing in TiO2/GeO2-doped silica fibres

Abstract

We analyze Raman lasing bandwidth for TiO 2 -doped single-mode fibre as a function of pumping power, following from modelling of the gain profile, and compare it with that typical for an etalon Raman (GeO 2 -doped) fibre. The both Raman gain profiles are quantified using the spontaneous Raman cross-sections derived with an original spectroscopic method. Extremely high accuracy of the multimode Gaussian decomposition is obtained for the Raman gain profiles. As a result, the Raman gain profiles can be presented in analytical form. A threshold spectral Raman profile is introduced and the lasing bands in the both single-mode fibres are simulated numerically. We discuss also the advantages of TiO 2 -doped fibres as the active media for fibre Raman lasing and compare their characteristics with those of the other fibre types.

Optimization in Mathematics Modeling and Processing of New Type Silicate Glass Ceramics

“…We set a threshold for the continuously distributed Gaussian random field. After the twophase treatment, it can simulate the pore network and matrix part with random morphology in the porous medium [2]. For a Gaussian random field ( ) f x that satisfies the standard normal distribution, the covariance equation C(h) of two random points in the field can be defined by the correlation length:…”