Computational spectral imaging technology is an effective method to miniaturize the imaging spectrometer. Stable spectral reconstruction has been achieved with on-chip spectrometers using broad-bandpass filter dot-arrays. The imaging spectrometer using broad-bandpass filter line-arrays is developed for computational spectral imaging. Due to the processing difficulty of actual filter line arrays, 20-line arrays of the broad bandpass filter were selected in the pre-study. The discrete linear model is developed by analyzing the system response of the imaging spectrometer. The sparse constraint is introduced into the current underdetermined solution system to guarantee a unique and accurate solution; since the solution of hyperspectral bands cannot be performed using a small number of filters. The incoherence analysis of the system response and the dictionary is carried out to identify the general orthogonal systems such as the discrete cosine transform (DCT), etc. that can be used as the dictionary. The OMP was used for the final implementation of the simulation to realize the spectral reconstruction in the Visible-NIR. The results of the reconstruction show that the DCT as the dictionary has the highest accuracy: mean square error ≤8.24×10-4. The different accuracy of various spectral reconstructions using different sparse transforms indicates the existence of different sparse transforms with different sensitivity to the detail and the global of the target spectrum.
Spaceborne CO2 imaging spectrometer is a high spatial resolution, high time resolution, non-contact and long-term monitoring, which is widely applied in the field of monitoring the change of global greenhouse gas. For achieving long-slit, high signal to noise ratio and high spectral image quality, the principle of initial structure of Offner convex grating imaging spectrometer was analyzed by utilizing the central wavelength of tangent of meridian and sagittal rays at slit, enhancing the utilization rate of incident light and avoid vignetting effectively. Based on this scheme, the optical system of Offner convex grating imaging spectrometer was designed. The imaging spectrometer with 35 mm slit, that the swath can achieve 233 km. For enhancing inversing CO2 gas concentration efficiency and accurately, the spectrometer designed working spectral range at 1590~1620 nm. In addition, in order to achieve 0.1 km spatial resolution at 500 km orbit, the front telescope optical system was designed. The FOV of the front telecentric telescope optical system is 13.14°, focal length is 75 mm. Finally, analyzing the overall optical system that includes telescope and convex grating imaging spectrometer. The design results show that the root mean square (RMS) radius of the sequence diagram is less than 5 μm, and the modulation transfer function of the system at 33 l p/mm is better than 0.7. The design scheme satisfies remote sensing detection requirements of large field of view, high spectral resolution and high signal-to-noise ratio for spaceborne CO2 imaging spectrometer.
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