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Terahertz (THz) Time domain spectroscopy (THz-TDS) is a broadbandspectroscopic technique spreading its uses in multiple fields: in science frommaterial science to biology, in industry where it measures the thickness of apaint layer during the painting operation. Using such practical commercialapparatus with broad spectrum for gas spectroscopy could be a major asset forair quality monitoring and tracking of atmospheric composition. However, gasspectroscopy needs high resolution and the usual approach in THz-TDS, where therecorded time trace is Fourier transform, suffers from resolution limitationdue to the size of the delay line in the system. In this letter, we introducethe concept of constraint reconstruction for super-resolution spectroscopybased on the modeling of the spectroscopic lines in a sparse spectrum. Lightmolecule gas typically shows sparse and narrow lines on a broad spectrum and wepropose an algorithm reconstructing these lines with a resolution improvementof 10 the ultimate resolution reachable by the apparatus. We envision theproposed technique to lead to broadband, selective, rapid and cheap gasmonitoring applications.

Broadband super-resolution Terahertz Time domain spectroscopy applied to Gas analysis