TY - JOUR
T1 - Application of the non-uniform Fourier transform to non-uniformly sampled Fourier transform spectrometers
AU - Wen, Muqian
AU - Houlihan, John
N1 - Funding Information:
This research is supported by the Research Scholarship program of South East Technological University, Waterford, Ireland .
Publisher Copyright:
© 2023 Elsevier B.V.
PY - 2023/8/1
Y1 - 2023/8/1
N2 - Resampling by interpolation is the traditional method to process interferograms from non-uniformly sampled Fourier transform spectrometers. The non-uniform fast Fourier transform (NUFFT) is an alternative approach that has been mostly overlooked. With the aid of experiments on a high-resolution interferometer with a variety of optical sources, these two methods are compared. It is found that the NUFFT is comparable to interpolation in spectral profile shape and spectral noise levels and is better in spectral amplitude and computer performance. A significant advantage is also found in the case of under-sampling and noise performance by NUFFT due to the unique non-periodic nature of non-uniform sampling. In addition, a novel implementation of NUFFT is presented and analysed.
AB - Resampling by interpolation is the traditional method to process interferograms from non-uniformly sampled Fourier transform spectrometers. The non-uniform fast Fourier transform (NUFFT) is an alternative approach that has been mostly overlooked. With the aid of experiments on a high-resolution interferometer with a variety of optical sources, these two methods are compared. It is found that the NUFFT is comparable to interpolation in spectral profile shape and spectral noise levels and is better in spectral amplitude and computer performance. A significant advantage is also found in the case of under-sampling and noise performance by NUFFT due to the unique non-periodic nature of non-uniform sampling. In addition, a novel implementation of NUFFT is presented and analysed.
KW - Fourier transform spectrometer
KW - Michelson interferometer
KW - NUFFT
KW - Non-uniform Fourier transform
KW - Non-uniform sampling
UR - http://dx.doi.org/10.1016/j.optcom.2023.129491
U2 - 10.1016/j.optcom.2023.129491
DO - 10.1016/j.optcom.2023.129491
M3 - Article
SN - 0030-4018
VL - 540
JO - Optics Communications
JF - Optics Communications
M1 - 129491
ER -