Observation of Superoscillation Superlattices

TL;DR

This paper reports the creation of 2D superoscillation lattices with controlled symmetries and demonstrates superoscillation superlattices as twisted bilayer Moiré patterns, enabling tunable superresolution in optical imaging.

Contribution

It introduces the first controlled 2D superoscillation lattices and their superlattices, with tunable local wavevectors, advancing optical superresolution technologies.

Findings

Achieved 2D superoscillation lattices with local wavevector 700 times larger than the global maximum.

Demonstrated superoscillation superlattices as twisted bilayer Moiré patterns with tunable wavevectors.

Enabled on-demand superoscillation tuning from 450k0 to 700k0, enhancing superresolution capabilities.

Abstract

Superoscillation (SO) wavefunctions, that locally oscillate much faster than its fastest Fourier component, in light waves have enhanced optical technologies beyond diffraction limits, but never been controlled into 2D periodic lattices. Here, we report the 2D superoscillation lattices (SOL) with controlled symmetries, where the local wavevector can be 700 times larger than the global maximal wavevector (k0) in a localized region 100 times smaller than the global minimal wavelength ({\lambda}0). We also demonstrate the superoscillation superlattices (SOSL) as twisted bilayer Moir\'e patterns of two SOL, akin to the magic angle tuning in advanced twistronics, we can continually tune the ondemand SO with local maximal wavevector in a range of 450k0 to 700k0 and with {\lambda}0/100 to{\lambda}0/1000. The twistronic SOSL will advance optical imaging and metrology into extreme higher dimensional superresolution.