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| 基于空间和频谱分辨的光纤简并模式测量方法 |
| Fiber degenerate mode measurement method based on spatial and spectral resolution |
| 投稿时间：2024-12-27 |
| DOI：10.3969/j.issn.1005-5630.202412270115 |
| 中文关键词: 光纤模式 群时延差 光谱干涉 奇异值分解法 |
| 英文关键词:fiber mode group delay difference spectral interference singular value decomposition method |
| 基金项目:国家自然科学基金面上项目(62075132)；国家自然科学基金青年科学基金项目（12404386） |
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| 中文摘要: |
| 本文对空间–频谱光纤模式测量方法进行了扩展，使其适用于简并模式的分析。根据光纤中不同模式之间的群时延差特点，从理论上推出了基模与高阶模以及高阶模与高阶模之间的光谱干涉公式，并进行了相应的模拟计算与分析。利用奇异值分解法对有效折射率相同的模式进行了分析，判定了光纤中简并模式的存在，并对简并模式进行了求解，实现了对光纤中所有模式的测量。此外还搭建了实验系统，对少模光纤进行模式测量研究，利用CCD相机采集光谱干涉信号，通过傅里叶变换得到频谱分布，分析得到光纤中各模式横向分布情况。 |
| 英文摘要: |
| This paper extends the spatial-spectral fiber mode measurement method to make it applicable for the analysis of degenerate modes. By leveraging the characteristic group delay differences among different modes in optical fibers, the paper theoretically derived the spectral interference formulas between the fundamental mode and higher-order modes, as well as among higher-order modes, and conducted corresponding simulation calculations and analyses. Singular value decomposition (SVD) was utilized to analyze modes with the same effective refractive index, to determine the existence of degenerate modes in the fiber, and to solve for these degenerate modes, thereby achieving the measurement of all modes in the fiber. An experimental system was established to conduct mode measurement on few-mode fibers. The spectral interference signals were captured using a CCD camera, and the frequency distribution was obtained through Fourier transform. The lateral distribution of each mode in the fiber was analyzed. |
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