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提出基于频域分析的色散补偿方法,对光学相干显微镜的干涉信号进行快速傅里叶变换,得到频率幅值极大值对应的平均波数,将提取的解包裹后的相位以平均波数为中心做多项式拟合,得到二阶色散系数。实验中,通过在参考臂中插入不同厚度的色散介质来引入两个干涉臂色散介质的光程差,并求得相应的二阶色散系数。通过最小二乘线性拟合,证实了二阶色散系数和色散介质的相对厚度具有很好的线性关系。根据该线性关系,可以在参考臂中插入适当厚度的色散介质来完全补偿干涉系统的二阶色散。
Dispersion compensation method based on frequency domain analysis is proposed. Fast Fourier transform is performed on the interference signal of the optical coherence microscope to obtain the average wavenumber corresponding to the maximum value of the frequency amplitude. The extracted phase of the unwrapping is centered on the average wavenumber Polynomial fitting gives the second-order dispersion coefficient. In the experiment, the optical path difference of two interference arms’ dispersion medium was introduced by inserting different thickness of dispersion media into the reference arm, and the corresponding second-order dispersion coefficient was obtained. By least squares linear fitting, it is confirmed that the second-order dispersion coefficient has a good linear relationship with the relative thickness of the dispersion medium. Based on this linear relationship, it is possible to completely compensate the second-order dispersion of the interference system by inserting a suitable thickness of dispersion medium into the reference arm.