On different aspects of the optical rogue waves nature Academic Article

abstract

• AbstractRogue waves are giant nonlinear waves that suddenly appear and disappear in oceans and optics. We discuss the facts and fictions related to their strange nature, dynamic generation, ingrained instability, and potential applications. We present rogue wave solutions to the standard cubic nonlinear Schrdinger equation that models many propagation phenomena in nonlinear optics. We propose the method of mode pruning for suppressing the modulation instability of rogue waves. We demonstrate how to produce stable Talbot carpetsrecurrent images of light and plasma wavesby rogue waves, for possible use in nanolithography. We point to instances when rogue waves appear as numerical artefacts, due to an inadequate numerical treatment of modulation instability and homoclinic chaos of rogue waves. Finally, we display how statistical analysis based on different numerical procedures can lead to misleading conclusions on the nature of rogue waves.

published proceedings

• NONLINEAR DYNAMICS

author list (cited authors)

• Belic, M. R., Nikolic, S. N., Ashour, O. A., & Aleksic, N. B.

citation count

• 10

complete list of authors

• Belic, Milivoj R||Nikolic, Stanko N||Ashour, Omar A||Aleksic, Najdan B

publication date

• April 2022

publisher

• Springer Nature  Publisher

published in

• Nonlinear Dynamics  Journal

keywords

• Chaos
• Nonlinear Schrodinger Equation
• Rogue Waves
• Talbot Carpets

Digital Object Identifier (DOI)

• 10.1007/s11071-022-07284-y

start page

• 1655

end page

• 1670

volume

• 108

issue

• 2

URL

• http://dx.doi.org/10.1007/s11071-022-07284-y