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https://doi.org/10.1103/PhysRevA.95.063847
Title: | Quantum limit for two-dimensional resolution of two incoherent optical point sources | Authors: | Ang, Shan Zheng Nair, Ranjith Tsang, Mankei |
Keywords: | Science & Technology Physical Sciences Optics Physics, Atomic, Molecular & Chemical Physics |
Issue Date: | 29-Jun-2017 | Publisher: | AMER PHYSICAL SOC | Citation: | Ang, Shan Zheng, Nair, Ranjith, Tsang, Mankei (2017-06-29). Quantum limit for two-dimensional resolution of two incoherent optical point sources. PHYSICAL REVIEW A 95 (6). ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevA.95.063847 | Abstract: | We obtain the multiple-parameter quantum Cramér-Rao bound for estimating the transverse Cartesian components of the centroid and separation of two incoherent optical point sources using an imaging system with finite spatial bandwidth. Under quite general and realistic assumptions on the point-spread function of the imaging system, and for weak source strengths, we show that the Cramér-Rao bounds for the x and y components of the separation are independent of the values of those components, which may be well below the conventional Rayleigh resolution limit. We also propose two linear-optics-based measurement methods that approach the quantum bound for the estimation of the Cartesian components of the separation once the centroid has been located. One of the methods is an interferometric scheme that approaches the quantum bound for sub-Rayleigh separations. The other method using fiber coupling can, in principle, attain the bound regardless of the distance between the two sources. | Source Title: | PHYSICAL REVIEW A | URI: | https://scholarbank.nus.edu.sg/handle/10635/194449 | ISSN: | 24699926 24699934 |
DOI: | 10.1103/PhysRevA.95.063847 |
Appears in Collections: | Elements Staff Publications |
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1606.00603v2.pdf | Accepted version | 2.16 MB | Adobe PDF | OPEN | Post-print | View/Download |
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