Comment on ``Secular and Nonsecular Behavior for the Cold Plasma Equations''

Sluijter, F. W.; Montgomery, David

doi:10.1063/1.1761263

Cited by 56 publications

(11 citation statements)

References 1 publication

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The propagation of the incident wave in plasma is described by the wave equation ( 7). The non-linear current for a monochromatic wave is found in the high-frequency limit as (Montgomery & Tidman 1964;Sluijter & Montgomery 1965; see also Appendix A)…”

Section: Filamentation and Modulation Instabilitiesmentioning

confidence: 99%

Nonlinear electromagnetic-wave interactions in pair plasma: (I) Non-relativistic regime

Ghosh,

Kagan,

Keshet

et al. 2021

Preprint

View full text Add to dashboard Cite

This paper is the first in a series devoted to the numerical study of nonlinear interactions of electromagnetic waves with plasma. We start with non-magnetized pair plasmas, where the primary processes are induced (Compton) scattering and the filamentation instability. In this paper, we consider waves in which electron oscillations are non-relativistic. Here, the numerical results can be compared to analytical theory, facilitating the development of appropriate numerical tools and framework. We distill the analytic theory, reconciling plasma and radiative transfer pictures of induced scattering and developing in detail the kinetic theory of modulation/filamentation instability. We carry out homogeneous numerical simulations using the particle-in-cell codes EPOCH and Tristan-MP, for both monochromatic waves and wave packets. We show that simulations of both processes are consistent with theoretical predictions, setting the stage for analyzing the highly nonlinear regime.

show abstract

Section: Filamentation and Modulation Instabilitiesmentioning

confidence: 99%

Nonlinear electromagnetic-wave interactions in pair plasma: (I) Non-relativistic regime

Ghosh,

Kagan,

Keshet

et al. 2021

Preprint

View full text Add to dashboard Cite

show abstract

“…Note that apart from ES noise around a natural plasma mode (co p « 0.72co 0 ), ponderomotively driven non-resonant modes are also present (not shown in Fig. 2) at 2nd, co = 2fi) 0 and k = 2k Q (v h /c ?^1.3), as well as at zero-harmonic [32]. From obtained data, it follows that the phase velocity of the EAW is v Jc -(o) 0 -(o p )/k Q « 0.45.…”

Section: Stimulated Electron-acoustic-wave Backscatteringmentioning

confidence: 67%

“…From obtained data, it follows that the phase velocity of the EAW is v Jc -(o) 0 -(o p )/k Q « 0.45. We model SEAS as a resonant parametric 3 -wave coupling a t (x, t) expf/^oc -co-r)] , which in weakly-varying envelope approximation [32][33][34][35], reads (11) where V i > 0 are the group velocities, Y a is damping rate for EAW (F 0 = Y a -0 for light waves is used), M i > 0 are the coupling coefficients and a i are the wave amplitudes, where / -Q,s,a, stand for the pump, backscattered wave and EAW, respectively. Our model is a short plasma and for high reflectivity, instability has to be Absolute.…”

Section: Stimulated Electron-acoustic-wave Backscatteringmentioning

confidence: 99%

Electromagnetic localized structures in a relativistic laser-plasma interaction

Hadžievski¹,

Škorić²,

Jovanović³

et al. 2002

AIP Conference Proceedings

View full text Add to dashboard Cite

Localized electromagnetic structures with trapped laser light inside are often found in simulations of relativistic laser-plasmas. First, we examine existence and stability of onedimensional electromagnetic solitons formed in a relativistic laser interaction with an underdense cold plasma. In a weakly relativistic model, the original equation of the nonlinear Schrodinger type, with local and non-local cubic nonlinearities is derived. Standing electromagnetic solitons are analytically shown to be stable in agreement with the model simulation. Next, we discuss a novel example of a stimulated backscattering of a laser light from the slow trapped electron-acoustic wave, involving a standing (localized) Stokes light sideband. Conditions are examined when above underdense instability dominates over standard stimulated Raman backscattering. CP634, Science of Superstrong Field Inter actions, edited by K. Nakajima and M. Deguchi

show abstract

“…It was pointed out by Tang et al (1984) that by deliberately allowing for the relativistic mass variation effect (Sluijter & Montgomery 1965) and having a denser plasma such that the plasma frequency was initially larger than the laser frequency difference the plasma wave would come into resonance as it grew, allowing a larger maximum saturation value to be attained. An increase of about 50% in the saturated wave amplitude can be achieved by this technique.…”

Section: Plasma Beat Wave Acceleratormentioning

confidence: 99%

Basic concepts in plasma accelerators

Bingham

2006

Phil. Trans. R. Soc. A.

View full text Add to dashboard Cite

In this article, we present the underlying physics and the present status of high gradient and high-energy plasma accelerators. With the development of compact short pulse high-brightness lasers and electron and positron beams, new areas of studies for laser/particle beam-matter interactions is opening up. A number of methods are being pursued vigorously to achieve ultra-high-acceleration gradients. These include the plasma beat wave accelerator (PBWA) mechanism which uses conventional long pulse ( approximately 100 ps) modest intensity lasers (I approximately 10(14)-10(16) W cm(-2)), the laser wakefield accelerator (LWFA) which uses the new breed of compact high-brightness lasers (<1 ps) and intensities >10(18) W cm(-2), self-modulated laser wakefield accelerator (SMLWFA) concept which combines elements of stimulated Raman forward scattering (SRFS) and electron acceleration by nonlinear plasma waves excited by relativistic electron and positron bunches the plasma wakefield accelerator. In the ultra-high intensity regime, laser/particle beam-plasma interactions are highly nonlinear and relativistic, leading to new phenomenon such as the plasma wakefield excitation for particle acceleration, relativistic self-focusing and guiding of laser beams, high-harmonic generation, acceleration of electrons, positrons, protons and photons. Fields greater than 1 GV cm(-1) have been generated with monoenergetic particle beams accelerated to about 100 MeV in millimetre distances recorded. Plasma wakefields driven by both electron and positron beams at the Stanford linear accelerator centre (SLAC) facility have accelerated the tail of the beams.

show abstract

Comment on ``Secular and Nonsecular Behavior for the Cold Plasma Equations''

Cited by 56 publications

References 1 publication

Nonlinear electromagnetic-wave interactions in pair plasma: (I) Non-relativistic regime

Nonlinear electromagnetic-wave interactions in pair plasma: (I) Non-relativistic regime

Electromagnetic localized structures in a relativistic laser-plasma interaction

Basic concepts in plasma accelerators

Contact Info

Product

Resources

About