Subdiffraction incoherent optical imaging via spatial-mode demultiplexing: semiclassical treatment
Abstract
I present a semiclassical analysis of a spatial-mode demultiplexing (SPADE) measurement scheme for far-field incoherent optical imaging under the effects of diffraction and photon shot noise. Building on previous results that assume two point sources or the Gaussian point-spread function, I generalize SPADE for a larger class of point-spread functions and evaluate its errors in estimating the moments of an arbitrary subdiffraction object. Compared with the limits to direct imaging set by the Cram\'er-Rao bounds, the results show that SPADE can offer far superior accuracy in estimating the second and higher-order moments.
Cite
@article{arxiv.1703.08833,
title = {Subdiffraction incoherent optical imaging via spatial-mode demultiplexing: semiclassical treatment},
author = {Mankei Tsang},
journal= {arXiv preprint arXiv:1703.08833},
year = {2018}
}
Comments
20 pages, 8 figures, 1 table. v5: same as the accepted version except Appendix C, which is much simplified here---the simplification was discovered too late to be included in the published version