Axial superlocalization with vortex beams

Abstract

Improving axial resolution is of paramount importance for three-dimensional optical imaging systems. Here, we investigate the ultimate precision in axial localization using vortex beams. For Laguerre-Gauss beams, this limit can be achieved with just an intensity scan. The same is not true for superpositions of Laguerre-Gauss beams, in particular for those with intensity profiles that rotate on defocusing. Microscopy methods based on rotating vortex beams may thus benefit from replacing traditional intensity sensors with advanced mode-sorting techniques.

arXiv comment10 pages, 4 figures. To appear in Quantum Science and Technology

References in corpus (10)

• Quantum Theory of Superresolution for Two Incoherent Optical Point Sources
• Overcoming the Rayleigh Criterion Limit with Optical Vortices
• Modes and states in Quantum Optics
• 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
• Fundamental precision bounds for three-dimensional optical localization microscopy with Poisson statistics
• Fisher information for far-field linear optical superresolution via homodyne or heterodyne detection in a higher-order local oscillator mode