Analysis of Optical Errors in Joint Fabry–Pérot Interferometer–Fourier-Transform Imaging Spectroscopy Interferometric Super-Resolution Systems
Fourier-transform imaging spectroscopy (FTIS) faces inherent limitations in spectral resolution due to the maximum optical path difference (OPD) achievable by its interferometer. To overcome this constraint, we propose a novel spectral super-resolution technology integrating a Fabry–Pérot interferom...
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2025-03-01
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| author | Yu Zhang Qunbo Lv Jianwei Wang Yinhui Tang Jia Si Xinwen Chen Yangyang Liu |
| author_facet | Yu Zhang Qunbo Lv Jianwei Wang Yinhui Tang Jia Si Xinwen Chen Yangyang Liu |
| author_sort | Yu Zhang |
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| description | Fourier-transform imaging spectroscopy (FTIS) faces inherent limitations in spectral resolution due to the maximum optical path difference (OPD) achievable by its interferometer. To overcome this constraint, we propose a novel spectral super-resolution technology integrating a Fabry–Pérot interferometer (FPI) with FTIS, termed multi-component joint interferometric hyperspectral imaging (MJI-HI). This method leverages the FPI to periodically modulate the target spectrum, enabling FTIS to capture a modulated interferogram. By encoding high-frequency spectral interference information into low-frequency interference regions through FPI modulation, an advanced inversion algorithm is developed to reconstruct the encoded high-frequency components, thereby achieving spectral super-resolution. This study analyzes the impact of primary optical errors and tolerance thresholds in the FPI and FTIS on the interferograms and spectral fidelity of MJI-HI, along with proposing algorithmic improvements. Notably, certain errors in the FTIS and FPI exhibit mutual interference. The theoretical framework for error analysis is validated and discussed through numerical simulations, providing critical theoretical support for subsequent instrument development and laying a foundation for advancing novel spectral super-resolution technologies. |
| format | Article |
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| issn | 2076-3417 |
| language | English |
| publishDate | 2025-03-01 |
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| spelling | doaj-art-67da378fd2824e6fb05d776a22f25fcb2025-08-20T02:11:00ZengMDPI AGApplied Sciences2076-34172025-03-01156293810.3390/app15062938Analysis of Optical Errors in Joint Fabry–Pérot Interferometer–Fourier-Transform Imaging Spectroscopy Interferometric Super-Resolution SystemsYu Zhang0Qunbo Lv1Jianwei Wang2Yinhui Tang3Jia Si4Xinwen Chen5Yangyang Liu6Aerospace Information Research Institute, Chinese Academy of Sciences, No.9 Dengzhuang South Road, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No.9 Dengzhuang South Road, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No.9 Dengzhuang South Road, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No.9 Dengzhuang South Road, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No.9 Dengzhuang South Road, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No.9 Dengzhuang South Road, Beijing 100094, ChinaAerospace Information Research Institute, Chinese Academy of Sciences, No.9 Dengzhuang South Road, Beijing 100094, ChinaFourier-transform imaging spectroscopy (FTIS) faces inherent limitations in spectral resolution due to the maximum optical path difference (OPD) achievable by its interferometer. To overcome this constraint, we propose a novel spectral super-resolution technology integrating a Fabry–Pérot interferometer (FPI) with FTIS, termed multi-component joint interferometric hyperspectral imaging (MJI-HI). This method leverages the FPI to periodically modulate the target spectrum, enabling FTIS to capture a modulated interferogram. By encoding high-frequency spectral interference information into low-frequency interference regions through FPI modulation, an advanced inversion algorithm is developed to reconstruct the encoded high-frequency components, thereby achieving spectral super-resolution. This study analyzes the impact of primary optical errors and tolerance thresholds in the FPI and FTIS on the interferograms and spectral fidelity of MJI-HI, along with proposing algorithmic improvements. Notably, certain errors in the FTIS and FPI exhibit mutual interference. The theoretical framework for error analysis is validated and discussed through numerical simulations, providing critical theoretical support for subsequent instrument development and laying a foundation for advancing novel spectral super-resolution technologies.https://www.mdpi.com/2076-3417/15/6/2938optical error analysisspectral super-resolutionFabry–Perot interferometerFourier-transform imaging spectroscopyrobustness enhancement |
| spellingShingle | Yu Zhang Qunbo Lv Jianwei Wang Yinhui Tang Jia Si Xinwen Chen Yangyang Liu Analysis of Optical Errors in Joint Fabry–Pérot Interferometer–Fourier-Transform Imaging Spectroscopy Interferometric Super-Resolution Systems Applied Sciences optical error analysis spectral super-resolution Fabry–Perot interferometer Fourier-transform imaging spectroscopy robustness enhancement |
| title | Analysis of Optical Errors in Joint Fabry–Pérot Interferometer–Fourier-Transform Imaging Spectroscopy Interferometric Super-Resolution Systems |
| title_full | Analysis of Optical Errors in Joint Fabry–Pérot Interferometer–Fourier-Transform Imaging Spectroscopy Interferometric Super-Resolution Systems |
| title_fullStr | Analysis of Optical Errors in Joint Fabry–Pérot Interferometer–Fourier-Transform Imaging Spectroscopy Interferometric Super-Resolution Systems |
| title_full_unstemmed | Analysis of Optical Errors in Joint Fabry–Pérot Interferometer–Fourier-Transform Imaging Spectroscopy Interferometric Super-Resolution Systems |
| title_short | Analysis of Optical Errors in Joint Fabry–Pérot Interferometer–Fourier-Transform Imaging Spectroscopy Interferometric Super-Resolution Systems |
| title_sort | analysis of optical errors in joint fabry perot interferometer fourier transform imaging spectroscopy interferometric super resolution systems |
| topic | optical error analysis spectral super-resolution Fabry–Perot interferometer Fourier-transform imaging spectroscopy robustness enhancement |
| url | https://www.mdpi.com/2076-3417/15/6/2938 |
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