Localization of nanoscale objects with light singularities

Area of Science:

• Optics
• Metrology
• Nanotechnology

Background:

• Recent advances demonstrate atomic-scale resolution in optical localization using deep learning and structured light.
• Topologically structured light, particularly light with phase singularities, offers unique scattering properties.

Purpose of the Study:

• To explain the fundamental principles behind enhanced precision in optical localization using structured light.
• To investigate the role of phase singularities in improving Fisher information for nano-object metrology.

Main Methods:

• Analysis of diffraction patterns from topologically structured light scattered by nano-objects.
• Deep learning applied to single-shot optical localization measurements.
• Comparison of Fisher information content using plane waves versus light with phase singularities.

Main Results:

• Positional changes of an object alter diffraction patterns based on spatial derivatives of the incident field's amplitude and phase.
• Phase singularities lead to an orders-of-magnitude increase in Fisher information despite lower intensity.
• Deep learning analysis of diffraction patterns enables unprecedented atomic-scale measurement resolution.

Conclusions:

• Phase singularities in incident light are crucial for achieving deeply subwavelength precision in metrology.
• Singularity-based metrology offers a fundamental pathway to enhanced resolution in optical measurements.
• The findings provide a strong motivation for developing and utilizing singularity-based optical measurement techniques.