Transmission of Superoscillations

Abstract

It is widely accepted that a signal bandlimited by σ cannot oscillate at higher frequencies. The phenomenon of superoscillation provides a refutation of that quite general belief. Temporal superoscillations have been rarely demonstrated and are mostly treated as a mathematical curiosity. In the present article we demonstrate experimentally for the first time to our best knowledge, the transmission of superoscillating signals through commercial low pass filters. The experimental system used for the demonstration is described, providing the insight into the transmission of superoscillations, or super-narrow pulses. Thus, while the phenomenon may seem rather esoteric, a very simple system is used for our demonstration.