Image transmission through dynamic scattering media by single-pixel photodetection

Smart control of light propagation through highly scattering media is a much desired goal with major technological implications. Since interaction of light with highly scattering media results in partial or complete depletion of ballistic photons, it is in principle impossible to transmit images through distances longer than the extinction length. Nevertheless, different methods for image transmission, focusing, and imaging through scattering media by means of wavefront control have been published over the past few years. In this paper we show that single-pixel optical systems, based on compressive detection, can also overcome the fundamental limitation imposed by multiple scattering to successfully transmit information. But, in contrast with the recently introduced schemes that use the transmission matrix technique, our approach does not require any a-priori calibration process that ultimately makes the present method suitable to use with dynamic scattering media. This represents an advantage over previous methods that rely on optical feedback wavefront control, especially for short speckle decorrelation times.We thank Víctor Torres-Company at the Chalmers University and Peter Török at the Imperial College of London for useful discussions and for reading the manuscript. This work was supported in part from MINECO (grants CSD2007-00013 and FIS2010-15746), Generalitat Valenciana (grants PROMETEO2012-021 and ISIC 2012/013), and the Universitat Jaume I (P1-1B2012-55). E.I. and F.S. were partially supported by a Generalitat Valenciana research fellowship