Topics on Nonlinear Wave-Plasma Interaction

General References.- I Basic equations.- 1 Hydrodynamic plasma description.- 2 Basic equations for high-frequency processes.- 3 Basic equations for low-frequency processes.- References.- II Elements of linear wave propagation.- 4 Linear wave propagation in plasmas.- 4.1 Linear wave equation.- 4.2 Penetration of a plasma by an electromagnetic wave.- 4.3 Resonance absorption.- References.- 5 Structure resonances.- 5.1 Resonances at s-polarization.- 5.2 Surface wave resonances.- 5.3 Electrostatic structure resonances.- References.- III High-frequency nonlinear processes.- 6 Harmonic generation.- 6.1 Calculation of nonlinear source terms.- 6.2 Linear density profile.- 6.3 Non-monotoneous density profiles.- 6.4 Harmonic generation by anharmonic electron motion.- 6. 5 Self-interaction of transverse waves in a homogeneous plasma.- References.- 7 Stimulated Raman scattering (SRS) and two-plasmon- decay (TPD).- 7.1 Parametric instabilities and three-wave coupling.- 7.2 SRS and TPD in a homogeneous plasma.- 7.3 SRS and TPD in an inhomogeneous plasma.- 7.4 Mode coupling equations for SRS and TPD in an inhomogeneous plasma.- 7.5 Results of mode coupling analysis of SRS, TPD.- 7.6 Odd-integer half-harmonic radiation.- References.- IV Low-frequency nonlinear processes.- 8 Linearized plasma dynamics.- 8.1 Ion acoustic waves.- 8.2 Zakharov system, nonlinear Schrodinger equation.- References.- 9 Stimulated Mandelstam-Brillouin scattering (SBS).- 9.1 SBS in a homogeneous infinite plasma (temporal problem).- 9.2 Space-time development of SBS in a plasma of finite length.- 9.3 SBS as steady-state spatial problem.- 9.4 Convective SBS instability.- 9.5 Brillouin backscatter pulsations.- 9.6 Strong-coupling effects.- 9.7 SBS saturation by ion acoustic nonlinearities.- 9.8 The influence of plasma flow on SBS.- References.- 10 Strongly nonlinear stationary waves.- 0.1 Basic equations.- 0.2 Equilibrium states (envelope solitions, nonlinear skin effect).- 10.3 Nonlinear stationary waves with plasma flow.- 10.4 Double-humped solitons, shock-like structures.- References.- 11 Strongly nonlinear instationary interaction.- 11.1 Profile deformation at resonance absorption.- 11.2 Nonlinear stage of stimulated Mandelstam-Brillouin scattering.- 11.3 Superreflection.- 11.4 Nonstationary skin-effect; plasma acceleration; plasma confinement.- References.- References.