Al-Saeed Tarek A, Khalil Diaa A
Appl Opt. 2016 Jul 10;55(20):5322-31. doi: 10.1364/AO.55.005322.
We analyze the Fourier transform spectrometer based on a symmetric/asymmetric Fabry-Perot interferometer. In this spectrometer, the interferogram is obtained by recording the intensity as a function of the interferometer length. Then, we recover the spectrum by applying the discrete Fourier transform (DFT) directly on the interferogram. This technique results in spectral harmonic overlap and fictitious wavenumber components outside the original spectral range. For this purpose, in this work, we propose a second method to recover the spectrum. This method is based on expanding the DFT of the interferogram and the spectrum by a Haar or box function. By this second method, we recovered the spectrum and got rid of the fictitious spectral components and spectral harmonic overlap.
我们分析了基于对称/非对称法布里-珀罗干涉仪的傅里叶变换光谱仪。在该光谱仪中，通过记录强度作为干涉仪长度的函数来获得干涉图。然后，我们通过直接对干涉图应用离散傅里叶变换（DFT）来恢复光谱。该技术会导致光谱谐波重叠以及原始光谱范围之外的虚拟波数分量。为此，在本工作中，我们提出了第二种恢复光谱的方法。该方法基于通过哈尔函数或盒函数扩展干涉图和光谱的DFT。通过这第二种方法，我们恢复了光谱并消除了虚拟光谱分量和光谱谐波重叠。
