Wave-wave interaction in plasmas

Wilhelmsson, H.

doi:10.1016/0378-4363(76)90268-0

Cited by 3 publications

(1 citation statement)

References 31 publications

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“…Finally, we would like to remark that our results have broad applicability and relevance for understanding nonlinear phenomena in plasmas. Nonlinear mixing is at the heart of wave-wave interactions in plasmas [50] and is responsible for such processes as harmonic generation parametric instabilities [51], the onset of weak turbulence, etc.. Such interactions have been widely studied in the context of laser heating of plasmas [52], radiofrequency heating in magnetic confinement devices [53,54], and understanding a variety of electrostatic and electromagnetic fluctuations in space plasmas [55].…”

Section: Discussionmentioning

confidence: 99%

Bispectral analysis of nonlinear mixing in a periodically driven Korteweg-de Vries system

Mir,

Tiwari,

Sen

2022

Preprint

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Section: Discussionmentioning

confidence: 99%

Bispectral analysis of nonlinear mixing in a periodically driven Korteweg-de Vries system

Mir,

Tiwari,

Sen

2022

Preprint

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Bispectral analysis of nonlinear mixing in a periodically driven Korteweg–de Vries system

2022

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The nonlinear response of a periodically driven Korteweg–de Vries model system is studied using a variety of nonlinear drivers and compared to previous results obtained for a purely time-dependent sinusoidal driver by Mir et al. [Phys. Plasmas 27, 113701 (2020)]. It is found that a nonlinear driver in the form of a cnoidal-square wave or a traveling wave driver produces a spectral response that is closer to experimental observations of Nosenko et al. [Phys. Rev. Lett. 92, 085001 (2004)] than that predicted by the simple sinusoidal driver. Using a bispectral analysis, we also firmly establish that the nature of the nonlinear oscillations, due to the interaction between the periodic source and the inherent collective mode of the system, is predominantly governed by a three-wave mixing process. Furthermore, by studying the variation in mixing patterns, from a broad to a sparse frequency spectrum, as a function of the driver frequency and its functional form, we propose a means of tailoring the nature of such patterns. Our results could find useful applications in the experimental interpretation and manipulation of nonlinear wave mixing patterns in weakly nonlinear and dispersive plasma systems or similar phenomena in neutral fluids.

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On the role of bandwidth in pump and seed light waves for stimulated Raman scattering in inhomogeneous plasmas

et al. 2022

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The effects of incoherence on the three-wave coupling process of backward stimulated Raman scattering (SRS) in inhomogeneous plasmas are investigated theoretically and numerically via a three-wave coupling model. The impact of the plasma wave nonlinearity is taken into account, namely, the effect of trapped electrons via a nonlinear frequency shift of the electron plasma wave. Incoherence in the coupling is introduced in the seed wave, and the laser pump wave via bandwidth associated with a Lorentzian power spectrum. It is found that temporal incoherence can suppress the instability as long as the gain associated with spatial amplification in an inhomogeneous plasma (“Rosenbluth gain”) is smaller than 2. Otherwise, kinetic effects may destabilize SRS and significantly increase the backscatter level. For the bandwidth effects of the pump laser, a statistical analysis has been performed to examine the real impact of bandwidth. Moreover, a semi-analytical expression of the growth rate in the nonlinear stage is given. By estimating the bandwidth effects, it is found that a broad bandwidth of the pump laser starts to mitigate the scattering provided that the laser beam coherence time τc is shorter than [Formula: see text], the inverse of the standard SRS growth rate γ0. However, to obtain effective mitigation, by maintaining SRS in an almost linear stage, it is found that the criterion [Formula: see text] has to be fulfilled.

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Wave-wave interaction in plasmas

Cited by 3 publications

References 31 publications

Bispectral analysis of nonlinear mixing in a periodically driven Korteweg-de Vries system

Bispectral analysis of nonlinear mixing in a periodically driven Korteweg-de Vries system

Bispectral analysis of nonlinear mixing in a periodically driven Korteweg–de Vries system

On the role of bandwidth in pump and seed light waves for stimulated Raman scattering in inhomogeneous plasmas

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