Analytical method for designing gradient-index fiber probes
Analytical method for designing gradient-index fiber probes
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DOI：
10.1117/1.3626206
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发表时间：
2011-09
影响因子：
1.3
通讯作者：
Chi Wang;Youxin Mao;C. Fang;Zhi Tang;Yingjie Yu;Bo Qi
中科院分区：
文献类型：
--
作者：
Chi Wang;Youxin Mao;C. Fang;Zhi Tang;Yingjie Yu;Bo Qi
提出了一种基于高斯光束传输特性参数的梯度折射率光纤探头设计的解析方法。首先，提出了一种由单模光纤、无芯光纤（NCF）和梯度折射率光纤透镜组成的梯度折射率光纤探头的典型模型。其次，采用复光束参数矩阵变换方法，推导出束腰位置、束腰半径、瑞利距离等特征参数的数学表达式。然后利用MATLAB软件分析了NCF长度和GRIN光纤透镜长度对特性参数的影响。最后，将计算结果与已有的实验数据进行了比较.计算结果与实验数据吻合较好，验证了所提出的自聚焦光纤探头设计的解析方法。另外，当梯度折射率光纤透镜的长度每增加1/2节距时，高斯光束通过梯度折射率光纤探头的特性参数保持不变，这可以通过周期性地增加梯度折射率光纤透镜的长度来降低梯度折射率光纤探头的制作复杂度。
An analytical method was investigated to design the gradient-index (GRIN) fiber probe based on characteristic parameters of a Gaussian beam propagating through the probe. First, a typical model of the GRIN fiber probe was presented, consisting of a single mode fiber, a no-core fiber (NCF), and a GRIN fiber lens. Second, a complex beam parameter matrix transformation method was adopted to derive the mathematical expressions of characteristic parameters, such as beam waist location, beam waist radius, and Rayleigh range. Then, MATLAB software was used to analyze the impact of the length of NCF and the length of the GRIN fiber lens on the characteristic parameters. Finally, performance comparison was performed between the calculation results and the experimental data published previously. The calculation results are in agreement with the experimental data and thus validate the presented analytical method for designing GRIN fiber probes. In addition, the characteristic parameters of a Gaussian beam going through the GRIN fiber probe will stay the same when the length of the GRIN fiber lens increases every 1/2 pitch length, which could be used to decrease the fabrication complication of GRIN fiber probes by increasing the length of GRIN fiber lens periodically.