| 基于分数阶傅里叶变换的模式测控一体化方法 |
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| 引用本文： | 文俊龙,李玮,谭建昌,郑世杰,李筱薇,罗韵,王建军,冯国英.基于分数阶傅里叶变换的模式测控一体化方法[J].强激光与粒子束,2021,33(11):111009-1-111009-6. |
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| 作者姓名： | 文俊龙 李玮 谭建昌 郑世杰 李筱薇 罗韵 王建军 冯国英 |
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| 作者单位： | 1.四川大学 电子信息学院, 激光微纳工程研究所, 成都 610065 |
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| 基金项目： | 等离子体物理重点实验室基金项目（6142A04200210）；国家自然科学基金委员会-中国工程物理研究院联合基金项目（U1730141） |
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| 摘 要： | 提出了一种基于分数阶傅里叶变换的模式测控一体化方法。利用分数阶傅里叶变换光路对光纤模式耦合态进行空间调制和相位调制，以实现模式的有效分解。与双重傅里叶变换（F2）法以及空间和频谱成像（S2）法相比，采用的分数阶傅里叶变换法，通过改变分数阶参数，控制模式的空间分布以及模式间的叠加状态，更易于分解出高阶模式。基于分数阶傅里叶变换的模式测量方法可在更广泛空间，研究模式的空间和相位叠加以及模式分解，也可退化为F2法和S2法。
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| 关 键 词： | 模式测控 分数阶傅里叶变换 模式分解 模式控制 高阶模式 |
| 收稿时间： | 2021-10-15 |
Integrated mode measurement and control method based on fractional Fourier transform |
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| Institution: | 1.Institute of Laser and Micro/Nano Engineering, College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, China2.Laser Fusion Research Center, CAEP, Mianyang 621900, China |
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| Abstract: | In this paper, the integrated mode measurement and control method based on fractional Fourier transform is proposed. The fractional Fourier transform optical system is used to modulate the spatial and phase distributions of the fiber mode coupling states so that the mode decomposition can be realized effectively. Compared with dual Fourier transform (F2) method as well as spatial and spectral imaging (S2) method, the fractional Fourier transform method adopted in this system is easier to decompose high-order modes by changing fractional order parameters, and controlling the spatial distributions of modes as well as the superposition states between modes. The mode measurement method based on the fractional Fourier transform can be studied in the spatial and phase superposition of modes in a wider range of space, and it can also be degenerated to F2 and S2 methods. |
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