Nonlinear propagation of broadband intense electromagnetic waves in an electron-positron plasma

Marklund, Mattias; Eliasson, Bengt; Shukła, P. K.

doi:10.1063/1.2242941

Cited by 11 publications

(9 citation statements)

References 44 publications

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“…For larger numbers of particles, various other states are possible, depending on the density and temperature of the system [6]. At higher temperatures and lower densities, classical e-p plasmas can be formed, both relativistic and nonrelativistic [7][8][9][10]. Lowering the temperature below the Ps ground-state binding energy (E Ps = 6.8 eV), the electrons and the positrons recombine to form a positronium gas.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of electron–positron clusters

2012

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Electron-positron clusters are studied using a quantum hydrodynamic model that includes Coulomb and exchange interactions. A variational Lagrangian method is used to determine their stationary and dynamical properties. The cluster static features are validated against existing Hartree-Fock calculations. In the linear response regime, we investigate both dipole and monopole (breathing) modes. The dipole mode is reminiscent of the surface plasmon mode usually observed in metal clusters. The nonlinear regime is explored by means of numerical simulations. We show that, by exciting the cluster with a chirped laser pulse with slowly varying frequency (autoresonance), it is possible to efficiently separate the electron and positron populations on a timescale of a few tens of femtoseconds.

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Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics of electron–positron clusters

2012

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“…as for the Vlasov equation. Hence the exisitng Vlasov codes are easily modified to simulate the Wigner equation; see for example the work by Marklund et al (2006) where the Wigner equation for broadband electromagnetic radiation in a plasma was solved with the Fourier method as described here. Finally we mention that other numerical methods for solving the Wigner equation exist in the litterature, for example operator splitting methods (Arnold and Ringhofer, 1996;Suh et al, 1991).…”

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confidence: 99%

Numerical Simulations of the Fourier-Transformed Vlasov-Maxwell System in Higher Dimensions—Theory and Applications

Eliasson

2010

Transport Theory and Statistical Physics

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We present a review of recent developments of simulations of the Vlasov-Maxwell system of equations using a Fourier transform method in velocity space. In this method, the distribution functions for electrons and ions are Fourier transformed in velocity space, and the resulting set of equations are solved numerically. In the original Vlasov equation, phase mixing may lead to an oscillatory behavior and sharp gradients of the distribution function in velocity space, which is problematic in simulations where it can lead to unphysical electric fields and instabilities and to the recurrence effect where parts of the initial condition recur in the simulation. The particle distribution function is in general smoother in the Fourier transformed velocity space, which is desirable for the numerical approximations. By designing outflow boundary conditions in the Fourier transformed velocity space, the highest oscillating terms are allowed to propagate out through the boundary and are removed from the calculations, thereby strongly reducing the numerical recurrence effect. The outflow boundary conditions in higher dimensions including electromagnetic effects are discussed. The Fourier transform method is also suitable to solve the Fourier transformed Wigner equation, which is the quantum mechanical analogue of the Vlasov equation for classical particles. Contents

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“…The interaction of ultraintense very short electromagnetic (EM) (laser) pulses with plasmas [1][2][3][4][5][6][7] has attracted a great deal of attention in relation with fundamental research and technological applications [8][9][10][11][12][13], such as particle acceleration, inertial confinement fusion, high harmonic generation and x-ray lasers [14]. The standard approach to produce an ultrashort, ultraintense multiterawatt laser pulse is the chirped-pulse-amplification (CPA) technique [15], in which a laser pulse is stretched, amplified and recompressed.…”

Section: Introductionmentioning

confidence: 99%

Electromagnetic beam profile dynamics in collisional plasmas

Sharma

Borhanian

Kourakis

2009

J. Phys. A: Math. Theor.

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The compression of a finite extent Gaussian laser pulse in collisional plasma is investigated. An analytical model is employed to describe the spatiotemporal evolution of a laser pulse propagating through the plasma medium. The pulse geometry is modeled via an appropriate ansatz which takes into account both beam radius (in space) and pulse width (in time). Compression and selffocusing are taken into account via appropriated group velocity dispersion and nonlinearity terms. The competition among the collisional nonlinearity in the plasma and the effect of divergence due to diffraction is pointed out and investigated numerically. Our results suggest that laser pulse compression and intensity localization is enhanced by plasma collisionality. In specific, a pulse width compression by an order of magnitude approximately is observed, for typical collisional laser plasma parameters, along with a significant increase in the intensity.

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Nonlinear propagation of broadband intense electromagnetic waves in an electron-positron plasma

Cited by 11 publications

References 44 publications

Nonlinear dynamics of electron–positron clusters

Nonlinear dynamics of electron–positron clusters

Numerical Simulations of the Fourier-Transformed Vlasov-Maxwell System in Higher Dimensions—Theory and Applications

Electromagnetic beam profile dynamics in collisional plasmas

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