Nonlinear interaction of waves in an inhomogeneous medium

Journal Article · Sun May 01 04:00:00 EDT 1988 · Radiophys. Quantum Electron. (Engl. Transl.); (United States)

OSTI ID:5823620

Pikovskii, A S

Nonlinear resonant interaction of three waves in a dispersive medium is considered within the framework of Hamiltonian formalism. The steady-state distribution function is found for random inhomogeneity and simplified diffusion equations are derived. Interaction in a periodically inhomogeneous medium is defined by the character of the inhomogeneity. For fine scale inhomogeneity the interaction slows significantly, while for a coarse scale it becomes chaotic. The dependence of the chaos level on the Manly-Row integrals is studied.

• OSTI ID: 5823620
• Journal Information: Radiophys. Quantum Electron. (Engl. Transl.); (United States), Journal Name: Radiophys. Quantum Electron. (Engl. Transl.); (United States) Vol. 30:11; ISSN RPQEA
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BESSEL FUNCTIONS
CANONICAL TRANSFORMATIONS
DIFFERENTIAL EQUATIONS
DIFFUSION
DISTRIBUTION FUNCTIONS
ENERGY TRANSFER
EQUATIONS
FOKKER-PLANCK EQUATION
FUNCTIONS
HAMILTONIANS
INHOMOGENEOUS PLASMA
INTEGRALS
INTERACTIONS
MATHEMATICAL OPERATORS
MECHANICS
NONLINEAR PROBLEMS
PARTIAL DIFFERENTIAL EQUATIONS
PLASMA
PLASMA WAVES
PROBABILITY
QUANTUM MECHANICS
QUANTUM OPERATORS
RESONANCE
STEADY-STATE CONDITIONS
STOCHASTIC PROCESSES
TRANSFORMATIONS
WAVE PROPAGATION