Anthony B. Kos, Fabio C. Da Silva, Jason B. Coder, Craig W. Nelson, Grace E. Antonucci, Archita Hati
Imaging solutions based on wave scattering seek real-time performance, high dynamic range, and spatial accuracy at scales spanning from nanometers to thousands of kilometers. Compressed sensing algorithms use sparsity to reduce sample size during image reconstruction, with optimization efforts targeting sampling pattern design and correlation properties of the image. Nevertheless, waves can sample physical domains as they propagate in space-time and are, in fact, naturally sensitive to sparsity. Field compressed sensing thus combines propagation dynamics with the inherent sensitivity of waves to sparsity to obtain information at maximum physical rates of sampling and compression. This generalizes the previous use of time of flight, projected signal strength, and fast detection, by including penetration and time correlators during reconstruction. We demonstrate image capture at frame rates of the order of 1 MHz thus opening opportunities for real-time fast imaging such as in precision space debris tracking and detonation dynamics.