基于分数阶傅里叶变换的模式测控一体化方法

Integrated mode measurement and control method based on fractional Fourier transform

  • 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。

     

    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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