Passive superresolution imaging of incoherent objects

Abstract

We investigate Hermite Gaussian Imaging (HGI) -- a novel passive super-resolution technique -- for complex 2D incoherent objects in the sub-Rayleigh regime. The method consists of measuring the field's spatial mode components in the image plane in the overcomplete basis of Hermite-Gaussian modes and their superpositions and subsequently using a deep neural network to reconstruct the object from these measurements. We show a three-fold resolution improvement over direct imaging. Our HGI reconstruction retains its superiority even if the same neural network is applied to improve the resolution of direct imaging. This superiority is also preserved in the presence of shot noise. Our findings are the first step towards passive super-resolution imaging protocols in fluorescent microscopy and astronomy.

arXiv comment6 pages, 8 figures

References in corpus (12)

• Laguerre-Gaussian mode sorter
• Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
• Beating Rayleigh's Curse by Imaging Using Phase Information
• Resolving starlight: a quantum perspective
• Beating the Rayleigh Limit Using Two-Photon Interference
• 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
• Optical quantum super-resolution imaging and hypothesis testing
• Subdiffraction incoherent optical imaging via spatial-mode demultiplexing: semiclassical treatment
• Comment on "Resurgence of Rayleigh's curse in the presence of partial coherence"
• Comprehensive model and performance optimization of phase-only spatial light modulators
• Confocal super-resolution microscopy based on a spatial mode sorter

Cited by in corpus (8)

• Superresolution imaging of two incoherent optical sources with unequal brightnesses
• Beating the spectroscopic Rayleigh limit via post-processed heterodyne detection
• Quantum Super-Resolution with Balanced Homodyne Detection in Low-Earth-Orbit
• Single-photon super-resolved spectroscopy from spatial-mode demultiplexing
• Super-resolution of ultrafast pulses via spectral inversion
• Machine learning with sub-diffraction resolution in the photon-counting regime
• Self-configuring high-speed multi-plane light conversion
• Measuring the Oscillation Frequency Beyond the Diffraction Limit