Correlation Spectra in Nonlinear Modulational Instabilities and Rogue Waves
Abstract
To predict and control extremely events in nonlinear region, we propose to study the temporal and spatial correlation spectra in modulation instability (MI) and rouge wave dynamics based on the nonlinear Schrödinger equation (NLSE). ven though Benjamin-Feir instability and rogue waves (RWs) were first discovered in the ocean, now, similar concepts can be found not only in deep water, but also in plasmas, optics, and cold atoms. Here, with photorefractive crystals as an experimental platform, for which NLSE acts as a central model for a variety of dynamics in nonlinear science, we plan to demonstrate theoretically and experimentally the correlation spectra for MI at the nonlinear stage, and before/after the appearance of RWs. The results generated from this proposal should pave the way to let us have a deeper understanding on the extremely nonlinear events, in particular MI, RWs, and those catastrophic natural phenomena in the ocean.
Document Details
- Document Type
- DoD Grant Award
- Publication Date
- Jan 23, 2019
- Source ID
- N629091912016
Entities
People
- Ray-Kuang Lee
Organizations
- National Tsing Hua University
- Office of Naval Research
- United States Navy