The mathematical modelling of capillary drawing for holey fibre manufacture
The mathematical modelling of capillary drawing for holey fibre manufacture
复制标题
DOI：
10.1023/a:1020328606157
复制
发表时间：
2002-08-01
影响因子：
1.3
通讯作者：
Richardson, DJ
中科院分区：
文献类型：
--
作者：
Fitt, AD;Furusawa, K;Richardson, DJ
微结构光纤（即含有孔的光纤）近年来受到高度重视，并产生了许多新颖的光学器件。对于环形毛细管的特别简单的情况，考虑了通过加热然后拉伸预成型件来制造这种纤维的问题。基于毛细管的小纵横比，采用渐近分析法建立了流体力学模型。然后，在一些渐近极限中检查主阶方程，其中许多给出了关于影响拉伸过程的控制参数的有价值的实用信息。最后与实验结果进行了比较。对于一组有限的实验，其中内孔加压，理论预测给出定性准确的结果。对于一组更详细的实验进行了高品位的石英玻璃，没有孔加压使用，相关的渐近解的控制方程给出的预测，同意非常好的实验。
Microstructured optical fibres (i.e. fibres that contain holes) have assumed a high profile in recent years, and given rise to many novel optical devices. The problem of manufacturing such fibres by heating and then drawing a preform is considered for the particularly simple case of annular capillaries. A fluid-mechanics model is constructed using asymptotic analysis based on the small aspect ratio of the capillary. The leading- order equations are then examined in a number of asymptotic limits, many of which give valuable practical information about the control parameters that influence the drawing process. Finally, some comparisons with experiment are performed. For a limited set of experiments where the internal hole is pressurised, the theoretical predictions give qualitatively accurate results. For a much more detailed set of experiments carried out with a high-grade silica glass where no hole pressurisation is used, the relevant asymptotic solution to the governing equations is shown to give predictions that agree remarkably well with experiment.