Precision estimation of source dimensions from higher-order intensity correlations

Journal article

Publication Details

Author(s): Pearce ME, Mehringer T, von Zanthier J, Kok P
Journal: Physical Review A
Publisher: American Physical Society
Publication year: 2015
Volume: 92
Journal issue: 4
ISSN: 1050-2947


An important topic of interest in imaging is the construction of protocols that are not diffraction limited. This can be achieved in a variety of ways, including classical superresolution techniques or quantum entanglement-based protocols. Here, we consider superresolving imaging in the far field using higher-order intensity correlations. We show that third-and fourth-order correlations can improve upon the first-and second-order correlations that are traditionally used in classical optics and Hanbury Brown-Twiss-type experiments. The improvement is achieved entirely by post-processing of the data. As a demonstrator, we simulate the far field intensity distribution of a circular aperture that emits thermal light and use maximum likelihood estimation to determine the radius of the aperture. We compare the achieved precision to the Cramer-Rao lower bound and find that the variance of measurements for the third-and fourth-order correlation functions are indeed closer to the Cramer-Rao bound than that of the second-order correlation function. The method presented here is general, and can be used for all kinds of incoherent emitters, geometries, and types of noise.

FAU Authors / FAU Editors

Mehringer, Thomas
Institut für Optik, Information und Photonik
von Zanthier, Joachim Prof. Dr.
Professur für Experimentalphysik

How to cite

Pearce, M.E., Mehringer, T., von Zanthier, J., & Kok, P. (2015). Precision estimation of source dimensions from higher-order intensity correlations. Physical Review A, 92(4).

Pearce, M. E., et al. "Precision estimation of source dimensions from higher-order intensity correlations." Physical Review A 92.4 (2015).


Last updated on 2018-19-04 at 03:22