Pearce, M.E. and Kok, P. (2015) Precision estimation of source dimensions from higher-order intensity correlations. Physical Review A, 92. 043831-1. ISSN 1050-2947
Abstract
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 Cramér-Rao lower bound and find that the variance of measurements for the third- and fourth-order correlation functions are indeed closer to the Cramér-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.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | ©2015 American Physical Society |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Science (Sheffield) > Department of Physics and Astronomy (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 29 Jan 2016 15:48 |
Last Modified: | 29 Jan 2016 15:48 |
Published Version: | https://dx.doi.org/10.1103/PhysRevA.92.043831 |
Status: | Published |
Publisher: | American Physical Society |
Refereed: | Yes |
Identification Number: | 10.1103/PhysRevA.92.043831 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:91973 |