Compressive multi-heterodyne optical spectroscopy

We propose a framework for Compressive Multi-heterodyne Optical Spectroscopy [CMOS], based on multiple heterodyne measurements of an optical signal mixed with a dynamically encoded frequency comb. The sparsity of optical spectra of interest is exploited by using the compressive sensing strategy to significantly reduce the number of heterodyne measurements. Numerical results are presented to demonstrate retrieval of coherent and incoherent hypothetical singly resonant sparse spectra over a 2 THz-wide bandwidth, sampled every 100 MHz, by using less than 50% measurements.