A simple study of the correlation effects in the superposition of waves of electric fields: The emergence of extreme events

In this paper, we study the effects of correlated random phases in the intensity of a superposition of N wavefields. Our results suggest that regardless of whether the phase distribution is continuous or discrete if they are random correlated variables, we will observe a denser tail distribution and the emergence of extreme events (amplitudes 30-40 times larger than their average) as the phases correlation increase. Recent results in the literature discuss the role of phase correlations on the emergence of rogue waves both in linear and nonlinear systems, but the mechanisms to generate them are not always straightforward. We show here a simple way to correlate the wavefield that makes it clear that rogue waves or denser tails appear mainly due to wave correlations instead of any particular system property. (C) 2020 Elsevier B.V. All rights reserved.