Sudhakar Prasad, Department of Physics and Astronomy – University of New Mexico, Zhixian Yu, Department of Physics and Astronomy – University of New Mexico,
Keywords: 3D superresolution, quantum Fisher information, Cramer-Rao bound, rotating-PSF imaging, space surveillance
Abstract:
The inverse of the quantum Fisher information (QFI) matrix (and extensions thereof) provides the ultimate lower bound on the variance of any unbiased estimation of a parameter from statistical data, whether of intrinsically quantum mechanical or classical character. We calculate the QFI for Poisson-shot-noise-limited imagery using the rotating PSF that can localize and resolve point sources fully in all three dimensions. We also propose an experimental approach based on the use of computer generated hologram and projective measurements to realize the QFI-limited variance for the problem of super-resolving a closely spaced pair of point sources at a highly reduced photon cost. The paper presents a preliminary analysis of quantum-limited three-dimensional (3D) pair optical super-resolution (OSR) problem with potential applications to astronomical imaging and 3D space-debris localization.
Date of Conference: September 19-22, 2017
Track: Adaptive Optics & Imaging