Interactions of two co-propagating laser beams in underdense plasmas using a generalized Peaceman–Rachford ADI form

Mahdy, A. I.

doi:10.1016/j.cpc.2007.09.002

Cited by 5 publications

(3 citation statements)

References 34 publications

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“…A 2D fluid code 19 using the generalized PeacemanRachford ADI ͑Alternating Direction Implicit͒ form was constructed to solve the coupled equations. In the code, the nonlinear evolutions of the two beams are simulated in the transverse plane ͑x-y plane͒, and the beams have the same polarization ͑linear͒, frequency, and direction of propagation ͑z−͒.…”

Section: Basic Equations and Physical Considerationsmentioning

confidence: 99%

Relative phase interactions of two copropagating laser beams in underdense plasmas at different intensities and spot sizes

Mahdy

2010

Physics of Plasmas

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The mutual interactions of two copropagating laser beams at a relative phase are studied using a two-dimensional fluid code. The interactions are investigated in underdense plasma at selected beam configurations and beam parameters for two separate nonlinearities, i.e., the ponderomotive and the relativistic nonlinearity. The selected beam configurations are introduced by different initial transverse spot size perturbations ͑finite and infinite͒ and different initial transversal intensity distributions ͑nonuniform and uniform͒ over those spot sizes and the selected beam parameters are given by different initial beam intensities relevant to each nonlinearity. In the ponderomotive nonlinearity, simulation results show that no mutual interactions are demonstrated between the copropagating beams regardless of the initial beam configurations and parameters. In nonlinear relativistic simulations, the mutual interactions between the beams are clearly observed, a mutual repulsion is formed in the presence of initial intensities that are nonuniformly distributed over finite spot sizes, and an effective strongly modulated mutual attraction takes places in the presence of initial intensities that are uniformly distributed over infinite spot sizes. Moreover, it is found in these simulations that increasing the initial beam intensities improves the attraction properties between the copropagationg beams.

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Section: Basic Equations and Physical Considerationsmentioning

confidence: 99%

Relative phase interactions of two copropagating laser beams in underdense plasmas at different intensities and spot sizes

Mahdy

2010

Physics of Plasmas

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“…In this regard, we simulated the propagation of a fs beam with an initial input energy E 01 = 2.4µJ in air plasma (n e = 10 15 cm −3 ). We conducted this simulation by numerically solving [16] a 2D envelope equation [17] in the Quasi Statics Approximation (QSA) coordinate [18], the result of this simulation is shown in figure 1. As displayed in this figure, a structure of a periodically self-focused and de-focused beam is clearly demonstrated at propagation time t = 120ps, the demonstrated structure is the ultrashort filament formation in underdesnse plasma.…”

Section: The Formation Of Ultrashort Filament In Underdesnse Plasmamentioning

confidence: 99%

Ultrashort filaments dynamics of two laser beams propagation in underdense plasmas

Mahdy

2018

AIP Conference Proceedings

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Abstract. We simulated the dynamics of a formed ultrashort (femtosecond) filament in underdense plasma in the presence of a second beam. In the beginning, we demonstrated the formation of this filament in air plasma, and then we monitored its evolution at different propagation times in order to explore fundamental dynamics associated with the propagation, such as the pulse splitting and the multiple filamentations. Afterwards, we simulated the dynamics of the formed filament in the presence of a second femtosecond beam at particular input beams energy, crossing angle and different time delays. Simulation results have confirmed that reducing the time delay between the beams optimizes the properties of the formed ultrashort filament.

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“…Over the last few years, various numerical models have been applied to solve the envelope-equation, such as the finite difference time domain (FD) [8], the standard and advanced Peceaman Rachford ADI [9], the direct integral [10], the Quasi-PIC [11], the envelope-kinetic scheme [12], the fluid three wave model [13], and the spectral method [14]. In the spectral method, the solution is approximated by a series of expansions using a trial function with a number of degrees in space and time.…”

Section: Introductionmentioning

confidence: 99%

Fourier Pseudospectral Solution for a 2D Nonlinear Paraxial Envelope Equation of Laser Interactions in Plasmas

Mahdy¹

2016

JAMP

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We apply a Fourier pseudospectral algorithm to solve a 2D nonlinear paraxial envelope-equation of laser interactions in plasmas. In this algorithm, we first use the second order Strang time-splitting method to split the envelope-equation into a number of equations, next we spatially discrete the filed quantity and its spatial derivatives in these equations in term of Fourier interpolation polynomials (FFT), finally we sequentially integrate the resultant equations by means of a discrete integration method in order to obtain the solution of the envelope-equation. We carry out several numerical tests to illustrate the efficiency and to determine accuracy of the algorithm. In addition, we conduct a number of numerical experiments to examine its performance. The numerical results have shown that the algorithm is highly efficient and sufficiently accurate to solve the 2D envelope-equation, furthermore, it yields an optimal performance in simulating fundamental phenomena in laser interactions in plasmas.

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Interactions of two co-propagating laser beams in underdense plasmas using a generalized Peaceman–Rachford ADI form

Cited by 5 publications

References 34 publications

Relative phase interactions of two copropagating laser beams in underdense plasmas at different intensities and spot sizes

Relative phase interactions of two copropagating laser beams in underdense plasmas at different intensities and spot sizes

Ultrashort filaments dynamics of two laser beams propagation in underdense plasmas

Fourier Pseudospectral Solution for a 2D Nonlinear Paraxial Envelope Equation of Laser Interactions in Plasmas

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