Frequency Shift Due to Trapped Particles

Dewar, R. L.

doi:10.1063/1.1693969

Cited by 100 publications

(114 citation statements)

References 6 publications

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“…[14] and [11] suggest that kinetic effects might dominate fluid effects even for large amplitudes of LW if kλ D > 0.3. Though the trapped electron frequency shift, perturbatively, varies as |E| 1/2 [6,9,10], and therefore cannot lead to LW collapse [13,45,46], 3D PIC simulation results [18] have been interpreted as showing that the trapped electron LW filamentation instability can saturate [19] stimulated Raman back-scatter (SRS) [21] by reducing the LWs coherence.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

“…In that regime a LW has a nonlinear frequency shift ∆ω f luid , due to electron dynamics, proportional to the squared LW electric field amplitude E, i.e. ∆ω f luid ∝ |E| 2 [5][6][7]. As shown in Ref.…”

Section: Introductionmentioning

confidence: 99%

“…which is the restriction of equation (6) to 1+1D case in the wave frame with Φ(r ⊥ , z − v ϕ t) → Φ(z). There are two methods to construct BGK modes in question.…”

Section: A Construction Of 1+1d Bgkmentioning

confidence: 99%

“…[8], the transition from the fluid to the "kinetic" regime occurs at kλ D ∼ 0.2 when trapped electron effects cannot be ignored. The LW frequency shift due to electron trapping, ∆ω trapped , perturbatively varies as ∆ω trapped ∝ |E| 1/2 [1,6,[8][9][10] with possible higher order corrections as discussed in Ref. [11].…”

Section: Introductionmentioning

confidence: 99%

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Langmuir wave filamentation in the kinetic regime. I. Filamentation instability of Bernstein-Greene-Kruskal modes in multidimensional Vlasov simulations

2017

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A nonlinear Langmuir wave in the kinetic regime kλD 0.2 may have a filamentation instability, where k is the wavenumber and λD is the Debye length. The nonlinear stage of that instability develops into the filamentation of Langmuir waves which in turn leads to the saturation of the stimulated Raman scattering in laser-plasma interaction experiments. Here we study the linear stage of the filamentation instability of the particular family [1] of Bernstein-Greene-Kruskal (BGK) modes [2] that is a bifurcation of the linear Langmuir wave. Performing direct 2+2D Vlasov-Poisson simulations of collisionless plasma we find the growth rates of oblique modes of the electric field as a function of BGK's amplitude, wavenumber and the angle of the oblique mode's wavevector relative to the BGK's wavevector. Simulation results are compared to theoretical predictions.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…which is the restriction of equation (6) to 1+1D case in the wave frame with Φ(r ⊥ , z − v ϕ t) → Φ(z). There are two methods to construct BGK modes in question.…”

Section: A Construction Of 1+1d Bgkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Langmuir wave filamentation in the kinetic regime. I. Filamentation instability of Bernstein-Greene-Kruskal modes in multidimensional Vlasov simulations

2017

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“…We now compare δω srs and δω num to well-known previously published formulas for the frequency shift, such as the one derived by Dewar [9] for a free EPW by assuming adiabatic electron motion:…”

mentioning

confidence: 99%

Breakdown of electrostatic predictions for the nonlinear dispersion relation of a stimulated Raman scattering driven plasma wave

2008

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The kinetic nonlinear dispersion relation, and frequency shift δωsrs, of a plasma wave driven by stimulated Raman scattering are presented. Our theoretical calculations are fully electromagnetic, and use an adiabatic expression for the electron susceptibility which accounts for the change in phase velocity as the wave grows. When kλD≳0.35 (k being the plasma wave number and λD the Debye length), δωsrs is significantly larger than could be inferred by assuming that the wave is freely propagating. Our theory is in excellent agreement with 1D Eulerian Vlasov–Maxwell simulations when 0.3≤kλD≤0.58, and allows discussion of previously proposed mechanisms for Raman saturation. In particular, we find that no “loss of resonance” of the plasma wave would limit the Raman growth rate, and that saturation through a phase detuning between the plasma wave and the laser drive is mitigated by wave number shifts.

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Impurity Driven Linear and Nonlinear MHD Cylindrical Waves in a Three Species Plasma

Singhal¹,

Srivastava²,

Chhonkar³

1983

Contrib Plasma Phys

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The propagation of axisymmetric linear and nonlinear dispersive waves in e three species plasma to include the thermoelectrostatic effects together with the dissipative effects of main iom has been discussed. The impurity driven MHD fluid modes have been examined when the electrostatic drift haa been taken into account. We have discuseed the linear propagation of dispersive cylindrical waves in the plasma system for different ion thermal phase number. The thermal force resulting from the collisions between main ion and impurity ion densities (i.e. ail = 0 ) has been negleoted. The shock waves and the soliton solutions are obtained for two different cases of the non-collisional plasma and the non-dissipative plasma.

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Frequency Shift Due to Trapped Particles

Cited by 100 publications

References 6 publications

Langmuir wave filamentation in the kinetic regime. I. Filamentation instability of Bernstein-Greene-Kruskal modes in multidimensional Vlasov simulations

Langmuir wave filamentation in the kinetic regime. I. Filamentation instability of Bernstein-Greene-Kruskal modes in multidimensional Vlasov simulations

Breakdown of electrostatic predictions for the nonlinear dispersion relation of a stimulated Raman scattering driven plasma wave

Impurity Driven Linear and Nonlinear MHD Cylindrical Waves in a Three Species Plasma

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