journal article·2024-01-24Open access

Suitable Integral Sampling for Bandpass-Sampling Time-Modulated Fourier Transform Spectroscopy

Xinwen Chen, Zheng Tan, Na Zhao, Jianwei Wang, Yangyang Liu, Yinhui Tang, Peidong He, Weiyan Li, Jianying Sun, Jia Si, Qunbo Lv

Applied Sciences· Volume 14· Issue 3

Abstract

For traditional Fourier transform (FTS), its integral sampling usually meets the Spectral Modulation Transfer Function (SMTF) criterion. However, for bandpass-sampling Fourier transform spectroscopy (BPS-FTS), based on our analysis, the integral sampling condition derived from the Spectral Modulation Transfer Function (SMTF) is excessively stringent. In other words, the interval of the integral sampling time that fulfills the tolerance requirements for the reconstructed spectrum is very narrow. There are numerous integration sampling time intervals outside this range that still meet the tolerance requirements for the reconstructed spectrum. In this paper, through theoretical modeling, we propose a method based on average |SMTF| as the selection criterion for the integration sampling time. Through simulation analysis, it is evident that the intervals and range of the integral sampling time obtained via this method are more accurate, ensuring the tolerance requirements of the reconstructed spectrum. Under these intervals, when conducting integral sampling on the interferogram, the spectral deviation of the reconstructed spectrum is minimal, and the Spectral Correlation Mapper (SCM) is nearly equal to one. This indicates that compared with the SMTF criterion in traditional FTS, this method is more suitable for the characteristics of BPS-FTS. The analysis in this paper can provide theoretical and simulation support for the implementation of BPS-FTS.
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Research context

OpenAlex topics: Spectroscopy Techniques in Biomedical and Chemical Research · Advanced Optical Sensing Technologies · Analytical Chemistry and Sensors

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Aerospace Information Research Institute, Chinese Academy of Sciences, No. 9 Dengzhuang South Road, Haidian District, Beijing 100094, China

School of Optoelectronics, University of Chinese Academy of Sciences, No. 19 (A) Yuquan Road, Shijingshan District, Beijing 100049, China

Key Laboratory of Computational Optical Imaging Technology, Chinese Academy of Sciences, No. 9 Dengzhuang South Road, Haidian District, Beijing 100094, China

Funding

the Strategic Priority Research Program of the Chinese Academy of Sciences · the National Key Research and Development Program of China

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