基于快速高斯网格法的非线性光谱复原方法

Nonlinear Spectral Recovery Based on Fast Gaussian Gridding

针对傅里叶变换光谱仪中的非线性光谱复原精度低的问题,研究了一种基于快速高斯网格(FGG)法的非线性光谱复原方法。首先研究了基于FGG法的非均匀傅里叶变换理论,利用仿真结果验证了FGG法的高复原精度及其可行性。搭建了双折射偏振干涉光谱测量实验装置,利用该方法对非等间隔采样的干涉信号进行了光谱复原处理,复原结果与光谱仪的测量结果基本一致。理论仿真和实验结果均表明,采用FGG法能够有效实现非线性光谱复原。

For the low precision of nonlinear spectral recovery of the Fourier transform spectrometer, a nonlinear spectral recovery method based on the fast Gaussian gridding （FGG） is studied. The theory of non-uniform Fourier transform based on FGG is studied and the simulation verifies the high recovery precision and the feasibility of the FGG method, A spectral measurement device of birefringent polarization interference is set up and the spectral recovery for the unequal-interval sampled interference signal is carried out. The spectrum recovered based on the FGG method is basically consistent with the result of spectrometer. The theoretic simulation and experimental results show that the nonlinear spectral recovery can be realized effectively by the FGG method.