Autoresonance of coupled nonlinear waves

Journal Article · Tue Jan 04 04:00:00 EST 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3544344· OSTI ID:21510090

Yaakobi, Oded; Friedland, Lazar ^[1]

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1. Racah Institute of Physics, Hebrew University, Jerusalem 91904 (Israel)

Resonant three-wave interactions (R3WIs) and their dynamical counterpart, three-oscillator interactions (R3OIs) play a fundamental role in many fields of physics. Consequently, controlling R3WI/R3OIs is an important goal of both basic and applied physics research. We have developed new control schemes based on a recent approach of wave autoresonance. This approach is based on the intrinsic property of many nonlinear waves and oscillations to stay in resonance (phase-lock) even when parameters of the system vary in time and/or space. We review autoresonance in several new coupled wave systems including externally driven R3OI systems and multidimensional R3WIs. Particularly, we have focused on autoresonant stimulated Raman scattering in nonuniform plasmas. This research comprises an important step toward understanding of adiabatic synchronization of nonlinear waves in space-time varying media with a potential of many new applications in plasma physics and related fields, such as fluid dynamics, nonlinear optics, and acoustics.

• OSTI ID: 21510090
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 1320; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

70 PLASMA PHYSICS AND FUSION TECHNOLOGY
DIFFERENTIAL EQUATIONS
ELECTRONIC EQUIPMENT
EQUATIONS
EQUIPMENT
FLUID MECHANICS
INTERACTIONS
MECHANICS
NONLINEAR OPTICS
NONLINEAR PROBLEMS
OPTICS
OSCILLATIONS
OSCILLATORS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA WAVES
RAMAN EFFECT
RESONANCE
SPACE-TIME
SYNCHRONIZATION
WAVE EQUATIONS
WAVE PROPAGATION