{ "id": "1911.04744", "version": "v1", "published": "2019-11-12T09:08:26.000Z", "updated": "2019-11-12T09:08:26.000Z", "title": "Resolution limits of spatial mode demultiplexing with noisy detection", "authors": [ "Yink Loong Len", "Chandan Datta", "MichaƂ Parniak", "Konrad Banaszek" ], "comment": "16 pages, 5 figures", "categories": [ "quant-ph", "physics.optics" ], "abstract": "We consider the problem of estimating the spatial separation between two mutually incoherent point light sources using the super-resolution imaging technique based on spatial mode demultiplexing with noisy detectors. We show that in the presence of noise the resolution of the measurement is limited by the signal-to-noise ratio (SNR) and the minimum resolvable spatial separation has a characteristic dependence of $\\sim$SNR$^{-1/2}$. Several detection techniques, including direct photon counting, as well as homodyne and heterodyne detection are considered.", "revisions": [ { "version": "v1", "updated": "2019-11-12T09:08:26.000Z" } ], "analyses": { "keywords": [ "spatial mode demultiplexing", "resolution limits", "noisy detection", "mutually incoherent point light sources", "minimum resolvable spatial separation" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable" } } }