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通过傅里叶变换中坐标原点的改变来校正离中心采样干涉图;重叠别名的重要影响。

Correction of off-center sampled interferograms by a change of origin in the fourier transform; the important effect of overlapping aliases.

作者信息

Walmsley D A, Clark T A, Jennings R E

出版信息

Appl Opt. 1972 May 1;11(5):1148-51. doi: 10.1364/AO.11.001148.

Abstract

Symmetrical sampling of an interferogram with respect to zero path difference is usually difficult to achieve in Michelson interferometers while off-center sampled interferograms require double-sided exponential Fourier transformation which is costly in computation time and degrades SNR. Several correction methods have been suggested by other authors that attempt to replace this transformation by an equivalent single-sided cosine transform. One such method utilizing a change of origin in the interferogram has been shown to lead to distorted spectra because of the effect of overlapping aliases. This distortion becomes particularly important for data involving smoothly varying spectra where over-all shape is important.

摘要

在迈克尔逊干涉仪中,相对于零光程差对干涉图进行对称采样通常很难实现,而离中心采样的干涉图需要进行双边指数傅里叶变换,这在计算时间上成本很高,并且会降低信噪比。其他作者提出了几种校正方法,试图用等效的单边余弦变换来取代这种变换。其中一种利用干涉图原点变化的方法已被证明会由于重叠别名的影响而导致光谱失真。对于涉及平滑变化光谱且整体形状很重要的数据,这种失真变得尤为重要。

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