基于空间域和频率域傅里叶变换F^2的光纤模式成分分析

Fiber modal content analysis based on spatial and spectral Fourier transform

针对高功率光纤激光光束质量诊断的需求,提出了双傅里叶变换F^2法来测量光纤模式成分,该方法侧重于对光纤输出激光的空间域和时间域的傅里叶变换谱进行测量,得到群时延图,给出模式在空间频谱域的分布,以及各个模式的功率占比,与己有的S^2方法相比,该方法大大减小了对移动平台的移动精度要求,适合于测量高功率光纤激光器输出光的模式成分.

As is well known,a typical measure of the quality of an optical beam is the M parameter,but characterizing the beam quality only by M^2 is insufficient.A low value of M^2 is generally considered to be equivalent to the single-mode operation with a stable beam.However,even when a large amount of power is contained in high-order modes,the existence of a low value of M is still possible.Hence,a low value of M does not guarantee the single-mode operation.Therefore,a new measurement technique,which aims at measuring modal content of high power fiber laser,is proposed and demonstrated in this paper.This method is named spatial and spectral Fourier transform,or F transform in short,and it is based on measuring Fourier transform of both spatial domain and spectral domain of output laser.The experimental set is simple in structure and high in robustness.Another advantage of the method is that it requires no prior detailed knowledge of the fiber properties.In this paper,the patterns of the high-order modes between and after Fourier transform are simulated.From the graph it is evident that the energy of spot diffuses outward and is convenient to measure.We also simulate and compare the group delay difference curve of F^2 with existing S2,which are well matched with each other.Experimentally,the high-order modes are stimulated by extruding the fiber periodically,which ensures that we can measure it.Firstly,by scanning two-dimensional（2D） pattern of beam after spatial domain Fourier transform and recording the experimental data,and then through the Fourier transform of data in spectral domain,the group delay differences between the high-order modes and the fundamental mode can be obtained.Finally,different modes in spatial domain are reconstructed and the relative power of every mode is calculated.Additionally,we set up an automatic measuring device to verify the effectiveness of the method.The reconstructed modal patterns are presented in the final section of this paper.We can clearly identify the fundamental mode and the high-order modes,such as LP01,LP02,LP03,LP21,LP11,LP12,LP13 and LP14.It reconfirms that this method is feasible.Compared with the S2 method,this method reduces the requirement for precision of mobile platform greatly and thus it is suited to measure the modal content of high power fiber laser output beam.This technique can be effectively applied to a wide variety of measurements,such as dispersion compensator of large-mode-area fiber,bend loss measurement of the high-order modes,refractive index profiles measurement of fiber and mode convertor fiber.