Wireless transmission through different media of an optical signal amplitude-modulated by a temporal superoscillation function

As wireless optical communication becomes a key technology in many applications such as internet-of-underwater-things (IoUT) and inter-satellite communication, investigation of different modulation schemes has become essential. In this paper, we address the issue of whether it is possible to wirelessly transmit a modulated light signal at a frequency beyond the signal's band limit. This property is known as superoscillation, which means that the signal contains a component that oscillates faster than its own highest Fourier component. We show the feasibility of wirelessly transmitting an optical carrier, which is amplitude-modulated by a temporal superoscillation function, through various media along a path of more than 1m length while preserving the superoscillatory nature of the signal. We also present cases where the received optical signal is distorted and quantify such distortion.