Sub-Rayleigh characterization of a binary source by spatially demultiplexed coherent detection
arXiv:2106.09557 · doi:10.1364/OE.433990
Abstract
We investigate theoretically coherent detection implemented simultaneously on a set of mutually orthogonal spatial modes in the image plane as a method to characterize properties of a composite thermal source below the Rayleigh limit. A general relation between the intensity distribution in the source plane and the covariance matrix for the complex field amplitudes measured in the image plane is derived. An algorithm to estimate parameters of a two-dimensional symmetric binary source is devised and verified using Monte Carlo simulations to provide super-resolving capability for high ratio of signal to detection noise (SNR). Specifically, the separation between two point sources can be meaningfully determined down to in the units determined by the spatial spread of the transfer function of the imaging system. The presented algorithm is shown to make a nearly optimal use of the measured data in the sub-Rayleigh region.
arXiv comment10 pages, 3 figures. Accepted for publication in Optics Express
References in corpus (24)
- Laguerre-Gaussian mode sorter
- Efficient and mode selective spatial mode multiplexer based on Multi-Plane Light Conversion
- Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
- Far-field Superresolution of Thermal Electromagnetic Sources at the Quantum Limit
- Beating Rayleigh's Curse by Imaging Using Phase Information
- Multiparameter Quantum Metrology of Incoherent Point Sources: Towards Realistic Superresolution
- Ultimate precision bound of quantum and sub-wavelength imaging
- Quantum limit for two-dimensional resolution of two incoherent optical point sources
- Quantum-limited estimation of the axial separation of two incoherent point sources
- Quantum Limits in Optical Communications
- Fisher information for far-field linear optical superresolution via homodyne or heterodyne detection in a higher-order local oscillator mode
- Quantum-optimal detection of one-versus-two incoherent sources with arbitrary separation
- Quantum-optimal detection of one-versus-two incoherent optical sources with arbitrary separation
- Approaching Quantum Limited Super-Resolution Imaging without Prior Knowledge of the Object Location
- Superresolution Limits from Measurement Crosstalk
- On superresolution imaging as a multiparameter estimation problem
- Resolution limits of spatial mode demultiplexing with noisy detection
- Quantum Fisher Information with Coherence
- Hermite-Gaussian mode sorter
- Quantum limits of superresolution in a noisy environment
- Optimal observables and estimators for practical superresolution imaging
- Subwavelength quantum imaging with noisy detectors
- Discrimination and estimation of incoherent sources under misalignment
- Sub-Rayleigh resolution of two incoherent sources by array homodyning
Cited by in corpus (5)
- Super-Resolution Imaging with Multiparameter Quantum Metrology in Passive Remote Sensing
- Beating the spectroscopic Rayleigh limit via post-processed heterodyne detection
- Quantum super-resolution for imaging two pointlike entangled photon sources
- Tight information bounds for spontaneous emission lifetime resolution of quantum sources with varied spectral purity
- Quantum-limited superresolution of two arbitrary incoherent point sources: beating the resurgence of Rayleigh's curse