A fast and accurate numerical implementation of the envelope model for laser–plasma dynamics

Terzani, Davide; Londrillo, P.

doi:10.1016/j.cpc.2019.04.007

Cited by 19 publications

(47 citation statements)

References 22 publications

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“…We have described the implementation in cylindrical symmetry in the PIC code Smilei of the envelope model presented in [13]. Its speed allows parametric scans and quick analysis of LWFA experimental set ups where the high frequency oscillations of the laser can be neglected and only their averaged (ponderomotive) effects need to be considered.…”

Section: Discussionmentioning

confidence: 99%

“…∂ x Φ and ∂ r Φ (∂ θ Φ = 0 in cylindrical symmetry) are computed through centered finite differences, to be used in the equations of motions of the particles. To move the particles in the 3D space, the 3D cartesian components of the force acting on the particle are computed, then the modified Boris pusher described in [13,14] is used to solve the particles equations of motion in terms of the 3D cartesian components of positions and momenta. The final form of the equations of motion read, for electrons:…”

Section: Numerical Implementationmentioning

confidence: 99%

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Efficient start-to-end 3D envelope modeling for two-stage laser wakefield acceleration experiments

Massimo

Beck

Dérouillat

et al. 2019

Plasma Phys. Control. Fusion

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The resolution of the system given by Maxwell's equations and Vlasov equation in three dimensions can describe all the phenomena of interest for laser wakefield acceleration, with few exceptions (e.g. ionization). Such arduous task can be numerically completed using Particle in Cell (PIC) codes, where the plasma is sampled by an ensemble of macroparticles and the electromagnetic fields are defined on a computational grid. However, the resulting three dimensional PIC simulations require substantial resources and often yield a larger amount of information than the one necessary to study a particular aspect of a phenomenon. Reduced models, i.e. models of the Maxwell-Vlasov system taking into account approximations and symmetries, are thus of fundamental importance for preliminary studies and parametric scans. In this work, the implementation of one of these models in the code Smilei, an envelope description of the laser-plasma interaction with cylindrical symmetry, is described.

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Section: Discussionmentioning

confidence: 99%

Section: Numerical Implementationmentioning

confidence: 99%

Efficient start-to-end 3D envelope modeling for two-stage laser wakefield acceleration experiments

Massimo

Beck

Dérouillat

et al. 2019

Plasma Phys. Control. Fusion

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“…It is worth noting that similar envelope methods have been applied in laser plasma accelerators, in which laser pulses are guided along very long channels compared to the laser wavelength [31,32,33]. Our approach however differs from the beam propagation method [34,35] and the parabolic equation method [36], both used to simplify the calculations in long waveguides, because it retains the second order derivatives along z and hence does not give an approximation but the exact solution of the field distribution, provided that the envelope oscillations are well resolved.…”

Section: Beam Envelope Methods For Calculating the Field Propagation In Long Optical Fibersmentioning

confidence: 99%

Numerical Calculation of the Light Propagation in Tapered Optical Fibers for Optical Neural Interfaces

Mach-Batlle

Pisanello

Pisano

et al. 2022

J. Lightwave Technol.

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As implantable optical systems recently enabled new approaches to study the brain with optical radiations, tapered optical fibers emerged as promising implantable waveguides to deliver and collect light from sub-cortical structures of the mouse brain. They rely on a specific feature of multimodal fiber optics: as the waveguide narrows, the number of guided modes decreases and the radiation can gradually couple with the environment. This happens along a taper segment whose length can be tailored to match with the depth of functional structures of the mouse brain, and can extend for a few millimeters. This anatomical requirement results in optical systems which have an active area that is very long compared to the wavelength of the light they guide and their behaviour is typically estimated by ray tracing simulations, because finite element methods are too computationally demanding. Here we present a computational technique that exploits the beam-envelope method and the cylindrical symmetry of the fibers to provide an efficient and exact calculation of the electric field along the fibers, which may enable the design of neural interfaces optimized to meet different goals.

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“…In the proposed hybrid fluid-kinetic model, fully kinetic PIC schemes are applied only to describe electron bunch acceleration in the plasma Wakefield, whereas the laserwakefield system is represented by the relativistic densitymomentum Euler equation derived from the Vlasov equation in the cold fluid approximation (no thermal pressure). The implementation of the composite fluid-kinetic system is still based on PIC leap-frog schemes to solve the Maxwell equation for the laser-wakefield modes, whereas for Eulerian plasma equation, specific integrators, still second order, have been designed to minimise the numerical dissipation resulting form the strongly nonlinear advection terms (Terzani and Londrillo 2019).…”

Section: Plasma Kinetic Numerical Codesmentioning

confidence: 99%

Plasma physics and astrophysics: retrospects, state-of-the art, and prospects

Nigro

Пегораро

Valentini

2020

Rend. Fis. Acc. Lincei

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Within the special issue "Classical and quantum plasmas: matter under extreme conditions" a series of papers are included that were presented at the international workshop "Plasma Physics and Astrophysics up to 2020 and beyond". This meeting was held on October 7th-8th 2019 at the Physics Department of the Università della Calabria in Rende (Italy) and was organised by the Physics Department "Astrophysics, Geophysics and Plasma Group" in connection with the celebration of Pierluigi Veltri's 70th birthday. The goal of this interdisciplinary workshop was to review some of the main achievements in plasma physics in the last five decades from laboratory to space and astrophysical plasmas and to discuss future developments. It was attended by experimentalists, theoreticians and by scientists involved in numerical plasma modelling with the aim of promoting the exchange of ideas and collaborations between different communities working on plasma physics in different contexts. The participants discussed fundamental physics aspects of fluid and plasma turbulence, of magnetic field line reconnection, of shock wave dynamics and of kinetic and nonlinear plasma phenomena highlighting new results and novel approaches, as well as exchanging ideas between different branches of plasma physics.

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A fast and accurate numerical implementation of the envelope model for laser–plasma dynamics

Cited by 19 publications

References 22 publications

Efficient start-to-end 3D envelope modeling for two-stage laser wakefield acceleration experiments

Efficient start-to-end 3D envelope modeling for two-stage laser wakefield acceleration experiments

Numerical Calculation of the Light Propagation in Tapered Optical Fibers for Optical Neural Interfaces

Plasma physics and astrophysics: retrospects, state-of-the art, and prospects

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