Parametric transformation of the amplitude and frequency of a whistler wave in a magnetoactive plasma

Костров, А. В.; Gushchin, M. E.; Korobkov, S. V.; Стриковский, А. В.

doi:10.1134/1.1641479

Cited by 18 publications

(15 citation statements)

References 5 publications

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“…When the whistler wave frequency is larger than w ce /4, one encounters negative group dispersive whistlers and the supersonic whistler envelope solitons are characterized by a bell-shaped whistler electric fields which create a density hump. Modulated whistler wavepackets have indeed been observed in a laboratory experiment [Kostrov et al, 2003] as well as near the plasmapause [Moullard et al, 2002] and in the auroral zone [Huang et al, 2004]. Our results are in excellent agreement with the experimental results [Kostrov et al, 2003], while we think that a multi-dimensional study, including channelling of whistler waves in density ducts, is required to interpret the observations by the Cluster and Freja satellites.…”

Section: Discussionsupporting

confidence: 87%

“…In his classic paper, Stenzel [1976] experimentally demonstrated the creation of a magnetic field‐aligned density trough by the ponderomotive force of localized electron whistlers. Observations from a recent laboratory experiment [ Kostrov et al , 2003] exhibit a clear evidence of modulated whistler wavepackets due to nonlinear effects. Furthermore, instruments on board CLUSTER spacecraft have been observing broadband intense electromagnetic waves, correlated density fluctuations and solitary waves near the plasmapause as well as at the magnetopause and in the terrestrial foreshock [ Moullard et al , 2002], revealing the signature of whistler turbulence in the presence of density depletions and enhancements.…”

Section: Introductionmentioning

confidence: 99%

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Theoretical and numerical studies of density modulated whistlers

Eliasson

Shukła

2004

Geophysical Research Letters

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[1] Recently, observations from laboratory experiments, which are relevant to space observations as well, have conclusively revealed the amplitude modulation of whistlers by low-frequency perturbations. Our objective here is to present theoretical and simulation studies of amplitude modulated whistler packets on account of their interaction with background low-frequency density perturbations that are reinforced by the whistler ponderomotive force. Specifically, we show that nonlinear interactions between whistlers and finite amplitude density perturbations are governed by a nonlinear Schrödinger equation for the modulated whistlers, and a set of equations for arbitrary large amplitude density perturbations in the presence of the whistler ponderomotive force. The governing equations are solved numerically to show the existence of large scale density perturbations that are self-consistently created by localized modulated whistler wavepackets. Our numerical results are found to be in good agreement with experimental results, as well as have relevance to observations from magnetized space plasmas.

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Section: Discussionsupporting

confidence: 87%

Section: Introductionmentioning

confidence: 99%

Theoretical and numerical studies of density modulated whistlers

Eliasson

Shukła

2004

Geophysical Research Letters

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“…ion-acoustic) (Watanabe 1977;Bailung and Nakamura, 1993;Luo et al, 1998;Nakamura et al, 1999;Nakamura and Sarma, 2001) as well as electromagnetic (EM, e.g. whistler) waves (Kostrov, 2003). Recent numerical simulations of electron cyclotron waves (Eliasson and Shukla, 2004) (as well as earlier ones, by Hasegawa, 1970Hasegawa, , 1972) also predict such a behaviour.…”

Section: Introductionmentioning

confidence: 84%

Exact theory for localized envelope modulated electrostatic wavepackets in space and dusty plasmas

Kourakis

Shukła

2005

Nonlin. Processes Geophys.

142

161

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Abstract. Abundant evidence for the occurrence of modulated envelope plasma wave packets is provided by recent satellite missions. These excitations are characterized by a slowly varying localized envelope structure, embedding the fast carrier wave, which appears to be the result of strong modulation of the wave amplitude. This modulation may be due to parametric interactions between different modes or, simply, to the nonlinear (self-)interaction of the carrier wave.A generic exact theory is presented in this study, for the nonlinear self-modulation of known electrostatic plasma modes, by employing a collisionless fluid model. Both cold (zero-temperature) and warm fluid descriptions are discussed and the results are compared. The (moderately) nonlinear oscillation regime is investigated by applying a multiple scale technique. The calculation leads to a Nonlinear Schrödinger-type Equation (NLSE), which describes the evolution of the slowly varying wave amplitude in time and space. The NLSE admits localized envelope (solitary wave) solutions of bright-(pulses) or dark-(holes, voids) type, whose characteristics (maximum amplitude, width) depend on intrinsic plasma parameters. Effects like amplitude perturbation obliqueness (with respect to the propagation direction), finite temperature and defect (dust) concentration are explicitly considered. Relevance with similar highly localized modulated wave structures observed during recent satellite missions is discussed.

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“…Also it was theoretically proposed to use the strong whistler group velocity dispersion and the rapidly changing magnetic field to compress high-power microwave pulses in waveguides filled with magnetized plasma (Manheimer and Ripin, 1986). The experimental results concerning propagation of whistlers in time-varying magnetoplasma were reported by us previously (Kostrov et al, 2003). Over the whistler frequency range (X H x H ) 1/2 < x < x H ( x p we can use the wave refractive index for the cold plasma: …”

Section: Theory and Discussionmentioning

confidence: 96%