Research on compressed sensing spectral reconstruction based on Fabry-Perot micro-array

Aiming at the problem that high throughput and high spectral resolution cannot be realized simultaneously in the existing space-borne scanning spectral imaging, a Fabry-Perot (FP) micro-array and compressed sensing spectral imaging method was proposed. By adding FP micro-arrays in front of the imaging detector, each unit of the FP micro-array modulator was corresponding to the different heights, and then the input optical signal was modulated to obtain the different spectral responses. Combined with the scanning and compressed sensing restoration algorithm, the hyper-spectral image data cube was finally obtained. The spectral range of the system was 400 nm~700 nm, and the number of spectral channels was as high as 700. By comparing the simulated laser incident spectrum with the compressed sensing reconstructed spectrum, the simulated mean square error (MSE) was 0.002. In addition, the two monochromatic light spectra with different colors were reconstructed by experiments. The experimental results were basically consistent with the spectrum measured by the standard spectrometer, which verified the feasibility of the spectrum reconstruction by this method. This method can be widely used in the measurements of high throughput, hyper-spectral space-borne or scanning spectral imaging.