Random laser model for Nd³⁺-doped powders and its application to stimulated emission cross-section calculations

Abstract

A new theoretical approach for random lasing of Nd 3+ doped powders is presented. The model's singularity lies in the fact that it proposes a probability distribution of the stimulated photon paths lengths in the sample, as well as a population inversion shared by different photon paths. The model's predictions satisfactorily compare with the results of laser threshold and absolute input/output energy slope of a real Random Laser. The main novel issue is that the best fit to the experimental results requires considering a high level of shared population inversion among different paths. The model simulation of local and spatially integrated Random Laser emissions, as well as their time evolution, is in accordance with the experimental behavior. These results also provide a new method of measuring the stimulated emission cross-section in this kind of random laser materials.

Spectroscopic and Judd-Ofelt Analysis of Nd3+ Ion Doped Lithium Antimony-Borate Glasses for Visible and Near Infrared Laser Application Compared to Standard Emission at 1.06 μm

“…We notice some inhomogeneities in emission spectra profiles; this effect may be explain by matrix field inhomogeneity, where they effect the special energy distribution and their transfer between Nd 3+ . 39 Non steady state luminescence measurements are represented in Fig. 7, in term of lifetime decay corresponding at 2 G 7/2 + 4 G 5/2 levels, which they show exponential tendency shapes.…”

Spectroscopy and enhanced frequency upconversion in Nd3+–Yb3+codoped TPO glasses: energy transfer and NIR to visible upconverter

“…Till now, the search for good optical materials are in progress for their uses in different applications such as frequency upconverters, optical switches, broad-band amplifications, nonlinear optical devices, infra-red (NIR) laser windows, optical fibres, etc [2,3]. The Nd 3+ ion is an interesting ion for the laser emission due to consistency of its energy levels and their positions; which can be populated by a cheap diode laser source operating in the near NIR regions [4][5][6][7][8][9]. There appears four lower energy levels of Nd 3+ ions viz.…”

“…This supports the further excitations to higher energy levels through excited state absorption (ESA) as well as energy transfer (ET) processes [4]. As in case of the Nd 3+ doped solid state lasers, Nd 3+ ions exhibit the important and fundamental 4 F 3/2 → 4 I 11/2 lasing transition around 1064 nm, therefore, Nd 3+ ion is referred as one of the most efficient rare earth ion among the rare earth ions [1,[4][5][6][7][8][9]. For the good emission efficiency of the fundamental transition at 1064 nm, the lifetime of the 4 F 3/2 level, which is influenced by the non-radiative relaxation and ET processes, should be high.…”