CAJ | 학술논문

弹光调制傅里叶变换光谱仪（PEM-FTS）的调制光程差是高速、非线性变化，每秒可产生上万张干涉图。为了实现高速等时间采样干涉信号的快速光谱反演，对大光程差弹光调制干涉信号的特性、加速非均匀快速傅里叶变换算法（NUFFT）进行研究。加速非均匀快速傅里叶变换算法是基于卷积核函数插值的快速傅里叶变换算法，此算法的核函数类型、参数τ、延伸影响因子q、过采样率μ等参数的选择对算法准确度以及复杂度有影响。在分析这些参数对算法影响的基础上，在μ＝2，q＝10，τ＝1×10-6时，将加速的NUFFT算法应用于弹光调制傅里叶变换光谱仪中，重建了632.8 nm的激光和氙灯光谱，复原的632.8 nm激光光谱的频率偏差小于0.01352，插值时间小于0.267 s。实验表明加速的NUFFT 算法有较快的运行速度和小的频率偏差，能快速准确地重建大光程差PEM-FTS的光谱。
탄광조제부리협변환광보의（PEM-FTS）적조제광정차시고속、비선성변화，매초가산생상만장간섭도。위료실현고속등시간채양간섭신호적쾌속광보반연，대대광정차탄광조제간섭신호적특성、가속비균균쾌속부리협변환산법（NUFFT）진행연구。가속비균균쾌속부리협변환산법시기우권적핵함수삽치적쾌속부리협변환산법，차산법적핵함수류형、삼수τ、연신영향인자q、과채양솔μ등삼수적선택대산법준학도이급복잡도유영향。재분석저사삼수대산법영향적기출상，재μ＝2，q＝10，τ＝1×10-6시，장가속적NUFFT산법응용우탄광조제부리협변환광보의중，중건료632.8 nm적격광화선등광보，복원적632.8 nm격광광보적빈솔편차소우0.01352，삽치시간소우0.267 s。실험표명가속적NUFFT 산법유교쾌적운행속도화소적빈솔편차，능쾌속준학지중건대광정차PEM-FTS적광보。
The optical path difference of the photoelastic modulator Fourier transform spectrometers (PEM-FTS) changes rapidly and nonlinearly ,while the instrument preserves the speed as high as about 105 interferograms per second ,so that the interfero-grams of PEM-FTS are sampled by equal interval .In order to fleetly and accurately reconstruct these spectrums ,the principle of PEM-FTS and accelerated NUFFT algorithm were studied in the present article .The accelerating NUFFT algorithm integrates interpolation based on convolution kernel and fast Fourier transform (FFT ) .And the velocity and precision of the algorithm are affected by the type and parameter τof kernel function ,the single-side spreading distance q and the oversampling ratio μ,and so on .In the paper these parameters were analysed ,under the condition N=1 024 ,q=10 ,μ=2 and τ=1 × 10-6 in the Gaussian scaling factor ,and the accelerated NUFFT algorithm was applied to the longer optical path difference PEM-FTS to rebuild the spectrums of 632.8 nm laser and Xenon lamp ,The frequency error of the rebuilt spectrums of 632.8 nm laser is less than 0.013 52 ,the spent time of interpolation is less than 0.267 s .the velocity is fast and the error is less .The accelerated nonuni-form fast Fourier transform is fit for the longer optical path difference PEM-FTS .