掺铽（III）硫族-硒族多模光纤中红外光致发光的时空模拟
Spatiotemporal modeling of mid-infrared photoluminescence from terbium (iii) ion doped chalcogenide-selenide multimode fibers
摘要：
本文建立了一个数值模型，研究了掺Tb ~（3+）的多模硫族-硒族玻璃光纤在约2 μ m激光泵浦下的光致发光时间动力学。该模型由一组偏微分方程（PDE）组成，描述了光纤中光子密度和能级布居的时空演化。为了数值求解偏微分方程的方法线。建模参数是从测量和文献中提供的数据中提取的。得到的数值结果支持实验观察。特别是，所开发的模型再现了从沿光纤的不同点获得的光致发光衰减曲线之间观察到的差异。数值分析也被用来解释这些差异的来源。
英文摘要：
In this contribution a numerical model is developed to study the time dynamics of photoluminescence emitted by Tb3+ doped multimode chalcogenide-selenide glass fibers pumped by laser light at approximately 2 microns. The model consists of a set of partial differential equations (PDEs), which describe the temporal and spatial evolution of the photon density and level populations within the fiber. In order to solve numerically the PDEs a Method of Lines is applied. The modeling parameters are extracted from measurements and from data available in the literature. The numerical results obtained support experimental observations. In particular, the developed model reproduces the discrepancies that are observed between the photoluminescence decay curves obtained from different points along the fiber. The numerical analysis is also used to explain the source of these discrepancies.
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