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

Abstract

In this paper, we study the effects of correlated random phases in the intensity of a superposition of $N$ wave-fields. Our results suggest that regardless of whether the phase distribution is continuous or discrete if the phases are random correlated variables, we must observe a heavier tail distribution and the emergence of extreme events as the correlation between phases increases. We believe that such a simple method can be easily applied in other situations to show the existence of extreme statistical events in the context of nonlinear complex systems.

11 pages, 3 figures

References in corpus (3)

• Instabilities, breathers and rogue waves in optics
• Rogue waves and analogies in optics and oceanography
• Spontaneous emergence of rogue waves in partially coherent waves: a quantitative experimental comparison between hydrodynamics and optics

Cited by in corpus (4)

• Superextreme Waves Generation in the Linear Regime
• Rogue waves in discrete-time quantum walks
• Rogue waves in quantum lattices with correlated disorder
• Statistical properties of speckle patterns for a random number of scatterers and nonuniform phase distributions