We present a method to reconstruct the complete statistical mode structure and optical losses of multimode conjugated optical fields using an experimentally measured joint photon-number probability distribution. We demonstrate that this method evaluates classical and non-classical properties using a single measurement technique and is well-suited for quantum mesoscopic state characterization. We obtain a nearly-perfect reconstruction of a field comprised of up to 10 modes based on a minimal set of assumptions. To show the utility of this method, we use it to reconstruct the mode structure of an unknown bright parametric down-conversion source.
@article{arxiv.1704.05503,
title = {Full statistical mode reconstruction of a light field via a photon-number resolved measurement},
author = {I. A. Burenkov and A. K. Sharma and T. Gerrits and G. Harder and T. J. Bartley and C. Silberhorn and E. A. Goldschmidt and S. V. Polyakov},
journal= {arXiv preprint arXiv:1704.05503},
year = {2017}
}