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 Cramér-Rao bounds, the results show that SPADE can offer far superior accuracy in estimating the second and higher-order moments.

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

References in corpus (6)

• Multiparameter Quantum Metrology of Incoherent Point Sources: Towards Realistic Superresolution
• Sorting photons by radial quantum number
• Subdiffraction incoherent optical imaging via spatial-mode demultiplexing
• Fisher information for far-field linear optical superresolution via homodyne or heterodyne detection in a higher-order local oscillator mode
• On superresolution imaging as a multiparameter estimation problem
• Light Microscopy at Maximal Precision

Cited by in corpus (30)

• A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging
• Resolving starlight: a quantum perspective
• Quantum limit to subdiffraction incoherent optical imaging
• Quantum-limited estimation of the axial separation of two incoherent point sources
• Quantum Semiparametric Estimation
• Fundamental precision bounds for three-dimensional optical localization microscopy with Poisson statistics
• Approaching Quantum Limited Super-Resolution Imaging without Prior Knowledge of the Object Location
• Using all transverse degrees of freedom in quantum communications based on a generic mode sorter
• Quantum limits of localisation microscopy
• Comment on "Resurgence of Rayleigh's curse in the presence of partial coherence"
• Identifying Objects at the Quantum Limit for Super-Resolution Imaging
• Passive superresolution imaging of incoherent objects
• Semiparametric estimation for incoherent optical imaging
• Confocal super-resolution microscopy based on a spatial mode sorter
• Quantum-limited Localisation and Resolution in Three Dimensions
• Quantum noise spectroscopy as an incoherent imaging problem
• Coherence effects on estimating general sub-Rayleigh object distribution moments
• Quantum limit to subdiffraction incoherent optical imaging. II. A parametric-submodel approach
• Superresolution imaging of two incoherent optical sources with unequal brightnesses
• Efficient superoscillation measurement for incoherent optical imaging
• Experimental 3D super-localization with Laguerre-Gaussian modes
• Quantum Super-Resolution with Balanced Homodyne Detection in Low-Earth-Orbit
• Quantum limit to subdiffraction incoherent optical imaging. III. Numerical analysis
• Off-axis Aberrations Improve the Resolution Limits of Incoherent Imaging
• On-sky Demonstration of Subdiffraction-limited Astronomical Measurement Using a Photonic Lantern
• Tight information bounds for spontaneous emission lifetime resolution of quantum sources with varied spectral purity
• Performance advantage of quantum hypothesis testing for partially coherent optical sources
• Performance advantage of discriminating one-versus-two incoherent sources based on quantum hypothesis testing
• Quantifying classical and quantum bounds for resolving closely spaced, non-interacting, simultaneously emitting dipole sources in optical microscopy
• Quantum limits to resolution and discrimination of spontaneous emission lifetimes