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Super rogue wave generation in the linear regime.

Cristian Bonatto1, Sandra D Prado1, Fernando L Metz1,2,3

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Area of Science:

  • Optics and Photonics
  • Wave Physics
  • Nonlinear Dynamics

Background:

  • Extreme or rogue waves are unexpected large waves deviating from Gaussian statistics.
  • Nonlinearity was previously thought essential for generating super rogue waves, characterized by extreme wave amplification.
  • Understanding rogue wave formation is crucial for various wave systems.

Purpose of the Study:

  • To investigate the formation mechanism of optical super rogue waves.
  • To determine if super rogue waves can emerge from linear wave propagation.
  • To explore the role of random initial phases in extreme wave generation.

Main Methods:

  • Experimental demonstration of optical super rogue wave formation.
  • Theoretical analysis of linear light diffraction in one transverse dimension.
  • Investigation of long-range correlations in random initial wave phases.

Main Results:

  • Optical super rogue waves were observed to emerge from linear light diffraction.
  • The formation is attributed to long-range correlations in random initial phases.
  • Recurrent phase subgroups create ordered structures that enhance constructive interference, leading to super rogue events.

Conclusions:

  • Super rogue waves can be generated through linear superposition of random waves, contrary to prior assumptions.
  • Long-range phase correlations in linear systems are a key factor in extreme wave formation.
  • These findings advance the understanding of extreme wave phenomena with broad applicability.