The study of electromagnetic cusp solitons

Verma, Deepa; Das, Amita; Kaw, P. K.; Tiwari, Sanat Kumar

doi:10.1063/1.4905228

Cited by 12 publications

(8 citation statements)

References 21 publications

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“…Next, for the modulational instabilities of EMWs associated with the nonresonant electron and ion density perturbations, we retain both D ± ( = 0) and S R,B ( = 0) in Eqs. (25) and (26). Thus, we obtain [2]…”

Section: Derivation and Analysis Of Nonlinear Dispersion Relationmentioning

confidence: 96%

“…with v g = k 0 /ω 0 denoting the dimensionless group velocity of the EMW pump, ω 0 = 1 + k 2 0 is the pump frequency, and δ = K 2 /2ω 0 is the dimensionless nonlinear frequency shift. The dispersion relations (25) and (26) In the absence of the pump, S R = S B = 0, and we have the following dispersion relations for electron (Langmuir) and ion plasma oscillations.…”

Section: Derivation and Analysis Of Nonlinear Dispersion Relationmentioning

confidence: 99%

“…Neglecting the nonresonant terms (∼ 1/D + ) from Eqs. (25) and (26), and letting Ω = (Kv g − δ) + iγ R,B = Ω R,B + iγ R,B , we obtain the growth rates for the Raman and Brillouin backscattering (K ≃ 2k 0 > k 0 ) instabilities:…”

Section: Derivation and Analysis Of Nonlinear Dispersion Relationmentioning

confidence: 99%

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Stimulated scattering instability in a relativistic plasma

Misra

Chatterjee

2018

Physics of Plasmas

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We study the stimulated scattering instabilities of an intense linearly polarized electromagnetic wave (EMW) in a relativistic plasma with degenerate electrons. Starting from a relativistic hydrodynamic model and the Maxwell's equations, we derive coupled nonlinear equations for low-frequency electron and ion plasma oscillations that are driven by the EMW's ponderomotive force. The nonlinear dispersion relations are then obtained from the coupled nonlinear equations which reveal stimulated Raman scattering (SRS), stimulated Brillouin scattering (SBS), and modulational instabilities (MIs) of EMWs. It is shown that the thermal pressure of ions and the relativistic degenerate pressure of electrons significantly modify the characteristics of SRS, SBS, and MIs.

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Section: Derivation and Analysis Of Nonlinear Dispersion Relationmentioning

confidence: 96%

Section: Derivation and Analysis Of Nonlinear Dispersion Relationmentioning

confidence: 99%

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Stimulated scattering instability in a relativistic plasma

Misra

Chatterjee

2018

Physics of Plasmas

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“…In addition, it has been found that arising of density bursts in the trailing edge of the modulated structures is demonstration of an instability which is arising from a nonlinear phase mixing mechanism [15]. Verma et al [16] have done analytical studies on electromagnetic soliton, where the analytical form of the cusp structure in the envelope of electromagnetic soliton at the ion wave breaking point for electron-ion plasma has been obtained. In this work, the time evolution studies have also been done to show the survival of these structures for several plasma periods.…”

Section: Literature Reviewmentioning

confidence: 99%

Effect of magnetic field on electromagnetic soliton evolution by different pulses

et al. 2018

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Solitons evolve in a nonlinear and dispersive medium whenever the balance is obtained between the effects of dispersion and nonlinearity. In this work, we study the impact of an external magnetic field on electromagnetic soliton profile in nonrelativistic two-fluid plasma using IMEX scheme. We found that different kinds of perturbing pulses create two solitons of same characteristics, propagating in opposite directions. For the present study, we considered three kinds of perturbing pulses of equal amplitudes but different widths as 0.003, 0.011 and 0.015. The propagation characteristics of the solitons, viz. crest of soliton amplitude, its width and velocity, are evaluated under the impact of an external magnetic field. In addition, we generalize the case by examining different plasma models by selecting different mass and temperature ratios of the ions and the electrons. This is done at the fixed external magnetic field strength of 0.06T and 0.01 T.

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“…The richness of nonlinear interactions in laser plasma interaction provides a fertile ground for the formation of such structures. For instance, a rich class of one-dimensional nonlinear solitonic structures has been predicted and their stability and interaction have been studied (Kaw, Sen & Katsouleas 1992; Naumova et al 2001 a ; Esirkepov et al 2002; Poornakala et al 2002 a , b ; Shukla & Eliasson 2005; Romagnani et al 2010; Sundar et al 2011; Verma et al 2015, 2017). An approximate fluid model electron magnetohydrodynamics (EMHD) (Biskamp, Schwarz & Drake 1996; Isichenko & Marnachev 1987) describing plasma response at fast electron time scales provides for nonlinear coherent solutions comprising of rotating electron currents in two dimensions.…”

Section: Introductionmentioning

confidence: 99%

Spontaneous formation of coherent structures by an intense laser pulse interacting with overdense plasma

2020

Self Cite

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The formation and the dynamics of coherent magnetic field structures in the context of laser plasma interaction has attracted considerable attention. In the literature the formation of these structures has, however, mostly been reported in the wake of a laser pulse propagating in an underdense plasma medium (Bulanov et al., Phys. Rev. Lett., vol. 76, 1996, pp. 3562–3565; Nakamura & Mima Phys. Rev. Lett., vol. 100, 2008, 205006; Bulanov et al., Plasma Phys. Rep., vol. 31, no. 5, 2005, pp. 369–381; Naumova et al., Phys. Plasmas, vol. 8, no. 9, 2001, pp. 4149–4155; Nakamura et al., Phys. Rev. Lett., vol. 105, no. 13, 2010, 135002). The study here focuses on the formation of coherent structures by an intense laser pulse when it interacts with an overdense plasma medium. The laser in this case gets reflected and partially dumps its energy to the lighter electrons species. Particle-in-cell simulation studies have been carried out in two dimensions to show that the energetic electrons (generated at the critical layer and having relativistic energies), together with the background plasma electrons often self-organize to form distinct electron current vortices. These electron vortices have associated magnetic fields with monopolar or dipolar symmetries depending on the rotation profile of the electron current. The formation, stability and dynamics of these structures in the context of overdense plasma is of special importance as they provide a possibility of energy transport into those regions of plasma which are inaccessible to lasers. For such applications, higher energy content (involvement of relativistic electrons in their formation) of these structures is desirable. It is shown that their salient propagation characteristics even at relativistic energies follow the rules of electron magnetohydrodynamics (EMHD) (Isichenko & Marnachev, Sov. Phys. JETP, vol. 66, 1987, p. 702; Biskamp et al., Phys. Rev. Lett., vol. 76, 1996, p. 1264) (Generalized - EMHD Yadav et al., Phys. Plasmas, vol. 15, no. 6, 2008, 062308; Yadav et al., Phys. Plasmas, vol. 16, no. 4, 2009, 040701) for homogeneous (inhomogeneous) plasma medium, respectively.

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The study of electromagnetic cusp solitons

Cited by 12 publications

References 21 publications

Stimulated scattering instability in a relativistic plasma

Stimulated scattering instability in a relativistic plasma

Effect of magnetic field on electromagnetic soliton evolution by different pulses

Spontaneous formation of coherent structures by an intense laser pulse interacting with overdense plasma

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