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Extreme wave excitation from localized phase-shift perturbations
1Centre for Wind, Waves and Water, School of Civil Engineering, The University of Sydney, Sydney NSW 2006, Australia.
Physical Review. E
|November 18, 2022
Summary
Modulation instability can generate extreme waves by localizing wave energy. This study shows that phase-shift seeding, not amplitude modulation, triggers these rogue waves in nonlinear dispersive media.
Area of Science:
- Nonlinear physics
- Fluid dynamics
- Wave phenomena
Background:
- Modulation instability drives wave localization in nonlinear dispersive media.
- Extreme wave formation is often linked to amplitude modulation and sideband injection.
- The nonlinear Schrödinger equation (NLSE) describes unstable wave evolution.
Purpose of the Study:
- To investigate if phase-shift localization alone can trigger extreme wave events.
- To explore the generation of rogue waves without initial amplitude modulation.
- To experimentally validate NLSE predictions for phase-shift-induced extreme waves.
Main Methods:
- Theoretical analysis using exact solutions of the NLSE.
- Experimental wave tank studies.
- Seeding localized phase shifts onto a regular carrier wave.
Main Results:
- Phase-shift localization, without amplitude modulation, successfully triggered extreme wave events.
- Experimental results showed excellent agreement with NLSE hydrodynamics.
- Breather-type extreme waves were generated from a regular wave train, albeit with a delay.
Conclusions:
- Phase-shift localization is a viable mechanism for generating extreme waves in nonlinear dispersive media.
- Experimental evidence supports the NLSE framework for these phase-shift-induced rogue waves.
- This mechanism warrants further experimental investigation in optics, plasma, and Bose-Einstein condensates.
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