Superoscillating response of a nonlinear system on a harmonic signal

TL;DR

This paper demonstrates that a nonlinear system can produce superoscillating signals from a simple harmonic input, expanding potential applications in signal processing and nonlinear dynamics.

Contribution

It introduces a method to generate superoscillations via nonlinear responses to harmonic signals, based on a specific superoscillating function example.

Findings

Superoscillating responses can be achieved through nonlinear systems.

The robustness of superoscillations to input variations is analyzed.

The approach extends superoscillation generation methods in nonlinear contexts.

Abstract

We demonstrate that a superoscillating in time signal may be obtained as a nonlinear response on a harmonic low-frequency input. Using the realization of a superoscillating function proposed by (Huang et al. 2007 J. Opt. A: Pure Appl. Opt. 9 S285-8) as an example, we synthesize the response function of such a nonlinear transformer and investigated its robustness with respect to the frequency and amplitude variations of the input signal.