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Efficient Semi-Lagrangian Vlasov-Maxwell Simulations of High Order Harmonic Generation from Relativistic Laser-Plasma Interactions

Part of: Kinematics Partial differential equations, initial value and time-dependent initial-boundary value problems

Published online by Cambridge University Press:  31 August 2016

Götz Lehmann
Götz Lehmann*
Affiliation:
Institut für Theoretische Physik I, Heinrich-Heine Universität, 40225 Düsseldorf, Germany
*
*Corresponding author. Email address: goetz@tp1.uni-duesseldorf.de (G. Lehmann)
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Abstract

We describe a relativistic semi-Lagrangian scheme for the numerical solution of the relativistic Vlasov-Maxwell system. The implementation strategy on a modern non-unified memory access (NUMA) architecture using the OpenMP framework is discussed. We demonstrated that close to perfect scaling can be obtained on modern many-core, multi-socket systems. Application of this code to the problem of relativistic generation of high-harmonic laser radiation is demonstrated. The results are compared to particle-in-cell (PIC) simulations, indicating in particular that for warm plasma the Vlasov simulation is superior. We discuss the impact of plasma temperature on the radiation spectrum and show that the efficiency of harmonic generation depends on the plasma temperature.

Keywords

Relativistic Vlasov-Maxwell systemsemi-Lagrangemulti-threadingrelativistic laser-plasma interactionhigh-harmonic radiation generation

MSC classification

Secondary: 65Z05: Applications to physics 65M25: Method of characteristics 70B05: Kinematics of a particle
Type
Research Article
Information
Communications in Computational Physics , Volume 20 , Issue 3 , September 2016 , pp. 583 - 602
Copyright
Copyright © Global-Science Press 2016 

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