2010/06/13 by Ori Katz, Katz, Ori, Jonathan M. Levitt +3
Physics and Astronomy · #FOS: Physical sciences #Optics (physics.optics) #physics.optics
paper · pdf · doi:10.48550/arxiv.1006.2553
arxiv created 2010/06/13 · arxiv updated 2010/06/15
We describe an approach based on compressive-sampling which allows for a considerable reduction in the acquisition time in Fourier-transform spectroscopy. In this approach, an N-point Fourier spectrum is resolved from much less than N time-domain measurements using a compressive-sensing reconstruction algorithm. We demonstrate the technique by resolving sparse vibrational spectra using <25% of the Nyquist rate samples in single-pulse CARS experiments. The method requires no modifications to the experimental setup and can be directly applied to any Fourier-transform spectroscopy measurement, in particular multidimensional spectroscopy.