Propagation of ion Langmuir plasma oscillations and soliton in a waveguide

Sayal, V.K.; Sharma, Shagun

doi:10.1088/0031-8949/42/4/018

Cited by 9 publications

(9 citation statements)

References 10 publications

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“…Ion acoustic solitary waves (IASWs), as typical nonlinear structures arising due to the balance between nonlinearity and dispersive effects in plasma systems, represent very important aspect of nonlinear phenomena in modern plasma research. [22][23][24] They have been studied intensively in a broad range of physical problems related to space and laboratory plasmas both theoretically and experimentally. [25][26][27][28] Till now, lots of approaches have been applied to investigate the nature and characteristics of nonlinear structures, [29][30][31][32] while the behaviors shown under the interaction are considered to be very important sources of information.…”

Section: Introductionmentioning

confidence: 99%

Particle-in-cell simulation of the head-on collision between two ion acoustic solitary waves in plasmas

Duan

et al. 2014

Physics of Plasmas

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The head-on collision of two ion acoustic solitary waves in plasmas composed of hot electrons and cold ions has been studied by using the Poincare-Lighthill-Kuo (PLK) perturbation method and one-dimensional Particle-in-Cell (PIC) simulation. Then the phase lags of ion acoustic solitary waves (IASWs) obtained from the two approaches have been compared and discussed. It has been found that: if the amplitudes of both the colliding IASWs are small enough, the phase lags obtained from PLK method are in good agreement with those obtained from PIC simulation. As the amplitudes of IASWs increase, the phase lags from PIC simulation become smaller than the analytical ones from PLK method. Besides, the PIC simulation shows the phase lag of an IASW involved in collision depends not only on the characteristics of the wave it collides with but also on itself, which disagrees with the prediction of the PLK method. Finally, the application scopes of the PLK method in studying both the single IASW and the head-on collisions of IASWs have been studied and discussed, and the latter turns out to be more strict.

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Section: Introductionmentioning

confidence: 99%

Particle-in-cell simulation of the head-on collision between two ion acoustic solitary waves in plasmas

Duan

et al. 2014

Physics of Plasmas

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“…So, there will be no interaction with the corresponding empty waveguide modes that have only transverse electric field components (H-modes), and we shall consider only the E-modes. The set of equations governing the dynamics of such a bounded plasma can be written in non-dimensional form [21,24]:…”

Section: Basic Equationsmentioning

confidence: 99%

“…It is to be mentioned that the works of above authors on the SWs in unbounded plasma have been done using the perturbation method. But, Sayal and Sharma [21] have analyzed theoretically the ion Langmuir plasma oscillations in a plasma filled in a cylindrical waveguide using fluid equations and using effective potential method. It is shown that propagation of such modes is possible because of the finite radius of the cylindrical waveguide.…”

Section: Introductionmentioning

confidence: 99%

Effects of Boundary of Cylindrical Waveguide and Nonthermal Electrons on the Ion Acoustic Double Layers in Multicomponent Bounded Plasma

2020

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Ion acoustic double layers in a multicomponent plasma consisting of positive ions, negative ions, and nonthermal electrons filled in a cylindrical waveguide have been theoretically investigated using pseudopotential technique. The expression of Sagdeev potential for the ion acoustic wave in such a plasma has been derived, and the conditions for the existence of double layers are obtained. The effects of the boundary of cylindrical waveguide and nonthermal electrons on the Sagdeev potential have been graphically discussed. From the nonlinear equation, the solution for double layers of small amplitude ion acoustic waves is obtained, and the structure of double layers is analyzed as function of the plasma parameters. It is seen that finite geometry of bounded plasma, nonthermality of electrons, density of negative ions, and stream velocity of positive and negative ions have significant contribution on the structure of double layers. The double layers may be compressive or rarefactive in plasma depending upon the values of the plasma parameters.

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“…An infinite magnetic field means that the field is constant in magnitude but infinite in spatial extent. Such a field compels the particles to move in the longitudinal x-direction only (Sayal andSharma 1990a, 1990b;Ghosh and Das 1985;Rasmussen 1978). We further assume that the usual hydrodynamic description is possible.…”

Section: Formulationmentioning

confidence: 99%

“…These equations have been written as a simple extension of those given by Sayal and Sharma (1990a) for a beam-plasma system. Here n~ and n~ denote the electron density in the plasma and the beam, nj is that for the ions; v~ and v~ denote the corresponding velocities of the two types of electrons, Vj is that for the ions; and ¢ denotes the electrostatic potential.…”

Section: Formulationmentioning

confidence: 99%

Effect of Streaming and Finite Geometry on a Resonance-like Phenomenon in Beam-Plasma Systems

Mukhopadhyay¹,

Chowdhury²,

Chowdhury

1993

Aust. J. Phys.

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We have analysed the effect of finite geometry and streaming on a resonance-like phenomenon in a beam-plasma system placed in an infinite magentic field. The resonance-like phenomenon is displayed through a variation of the amplitude of the soliton with respect to a (the ratio of electron to ion density). It is shown that this event is very prominent in the case of an infinite plasma, but for a bounded system the effect is not so significant. As such, an effect of this type will be difficult to observe experimentally unless the dimension of the containment system is considerable. Furthermore, the peak of the resonance varies considerably with the streaming velocity and other parameters of the plasma. The whole phenomenon is crucially dependent on the phase velocity of the solitary wave, whose variation is also considered in detail. Lastly, it is demonstrated that the existence of a resonance-like phenomenon can also be ascertained from an analysis of the linear dispersion relation.

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Propagation of ion Langmuir plasma oscillations and soliton in a waveguide

Cited by 9 publications

References 10 publications

Particle-in-cell simulation of the head-on collision between two ion acoustic solitary waves in plasmas

Particle-in-cell simulation of the head-on collision between two ion acoustic solitary waves in plasmas

Effects of Boundary of Cylindrical Waveguide and Nonthermal Electrons on the Ion Acoustic Double Layers in Multicomponent Bounded Plasma

Effect of Streaming and Finite Geometry on a Resonance-like Phenomenon in Beam-Plasma Systems

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