Experimental realization of supergrowing fields

TL;DR

This paper demonstrates the experimental creation of supergrowing fields with high growth rates, advancing the potential for superresolution imaging beyond traditional superoscillation methods.

Contribution

It presents the first experimental synthesis of controlled supergrowing fields with significantly high growth rates, enabling new possibilities in superresolution imaging.

Findings

Achieved a maximum growth rate of ~19.1 times the system bandwidth.

Demonstrated control over supergrowing field synthesis.

Paved the way for supergrowth-based superresolution imaging.

Abstract

Supergrowth refers to the local amplitude growth rate of a signal being faster than its fastest Fourier mode. In contrast, superoscillation pertains to the variation of the phase. Compared to the latter, supergrowth can have exponentially higher intensities and promises improvement over superoscillation-based superresolution imaging. Here, we demonstrate the experimental synthesis of controlled supergrowing fields with a maximum growth rate of ~19.1 times the system-bandlimit. Our work is an essential step toward realizing supergrowth-based far-field superresolution imaging.