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Quantum-limited estimation of the axial separation of two incoherent point sources

Zhou, Yiyu and Yang, Jing and Hassett, Jeremy D. and Hashemi Rafsanjani, Seyed Mohammad and Mirhosseini, Mohammad and Vamivakas, A. Nick and Jordan, Andrew N. and Shi, Zhimin and Boyd, Robert W. (2019) Quantum-limited estimation of the axial separation of two incoherent point sources. Optica, 6 (5). pp. 534-541. ISSN 2334-2536. https://resolver.caltech.edu/CaltechAUTHORS:20190606-081531090

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Abstract

Improving axial resolution is crucial for three-dimensional optical imaging systems. Here we present a scheme of axial superresolution for two incoherent point sources based on spatial mode demultiplexing. A radial mode sorter is used to losslessly decompose the optical fields into a radial mode basis set to extract the phase information associated with the axial positions of the point sources. We show theoretically and experimentally that, in the limit of a zero axial separation, our scheme allows for reaching the quantum Cramér–Rao lower bound and thus can be considered as one of the optimal measurement methods. Unlike other superresolution schemes, this scheme does not require either activation of fluorophores or sophisticated stabilization control. Moreover, it is applicable to the localization of a single point source in the axial direction. Our demonstration can be useful for a variety of applications such as far-field fluorescence microscopy.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1364/optica.6.000534DOIArticle
https://osapublishing.figshare.com/articles/3863794_pdf/7905269PublisherSupplemental Material
https://arxiv.org/abs/1810.01027arXivDiscussion Paper
ORCID:
AuthorORCID
Hashemi Rafsanjani, Seyed Mohammad0000-0001-7718-5654
Boyd, Robert W.0000-0002-1234-2265
Additional Information:© 2019 Optical Society of America under the terms of the OSA Open Access Publishing Agreement. Received 14 December 2018; revised 14 March 2019; accepted 26 March 2019 (Doc. ID 355468); published 26 April 2019. Funding: Office of Naval Research (ONR) (N000141512635, N000141712443); Canada Excellence Research Chairs, Government of Canada (CERC); Natural Sciences and Engineering Research Council of Canada (NSERC); Army Research Office (ARO) (W911NF-15-1-0496); National Science Foundation (NSF) (DMR-1506081). We thank Mankei Tsang for helpful discussions.
Funders:
Funding AgencyGrant Number
Office of Naval Research (ONR)N000141512635
Office of Naval Research (ONR)N000141712443
Canada Excellence Research ChairsUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Army Research Office (ARO)W911NF-15-1-0496
NSFDMR-1506081
Issue or Number:5
Record Number:CaltechAUTHORS:20190606-081531090
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190606-081531090
Official Citation:Y. Zhou, J. Yang, J. Hassett, S. Rafsanjani, M. Mirhosseini, A. Vamivakas, A. Jordan, Z. Shi, and R. Boyd, "Quantum-limited estimation of the axial separation of two incoherent point sources," Optica 6, 534-541 (2019); DOI: 10.1364/optica.6.000534
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:96182
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:06 Jun 2019 22:32
Last Modified:09 Mar 2020 13:18

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