Publications

2023

Time-domain Compressed Sensing

Kilian Scheffter, Jonathan Will, Caudius Riek, Herve Jousselin, Sébastien Coudreau, Nicolas Forget, Hanieh Fattahi

arXiv 2307.11692 (2023) | Preprint | PDF

Ultrashort time-domain spectroscopy, particularly field-resolved spectroscopy, are established methods for identifying the constituents and internal dynamics of samples. However, these techniques are often encumbered by the Nyquist criterion, leading to prolonged data acquisition and processing times as well as sizable data volumes. To mitigate these issues, we have successfully implemented the first instance of time-domain compressed sensing, enabling us to pinpoint the primary absorption peaks of atmospheric water vapor in response to tera-hertz light transients that exceed the Nyquist limit. Our method demonstrates successful identification of water absorption peaks up to 2.5 THz, even for sampling rates where the Nyquist frequency is as low as 0.75 THz, with a mean squared error of 12*10-4. Time-domain sparse sampling achieves considerable data compression while also expediting both the measurement and data processing time, representing a significant stride towards the realm of real-time spectroscopy

Contact

Research Group Hanieh Fattahi

Max Planck Institute for the Science of Light
Staudtstr. 2
91058 Erlangen, Germany

hanieh.fattahi@mpl.mpg.de

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