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Title: A new field solver for modeling of relativistic particle-laser interactions using the particle-in-cell algorithm

Abstract

A customized finite-difference field solver for the particle-in-cell (PIC) algorithm that provides higher fidelity for wave-particle interactions in intense electromagnetic waves is presented. In many problems of interest, particles with relativistic energies interact with intense electromagnetic fields that have phase velocities near the speed of light. Numerical errors can arise due to (1) dispersion errors in the phase velocity of the wave, (2) the staggering in time between the electric and magnetic fields and between particle velocity and position and (3) errors in the time derivative in the momentum advance. Errors of the first two kinds are analyzed in detail. It is shown that by using field solvers with different -space operators in Faraday’s and Ampere’s law, the dispersion errors and magnetic field time-staggering errors in the particle pusher can be simultaneously removed for electromagnetic waves moving primarily in a specific direction. Here, the new algorithm was implemented into Osiris by using customized higher-order finite-difference operators. Schemes using the proposed solver in combination with different particle pushers are compared through PIC simulation. It is shown that the use of the new algorithm, together with an analytic particle pusher (assuming constant fields over a time step), can lead to accurate modelingmore » of the motion of a single electron in an intense laser field with normalized vector potentials, eA / mc2, exceeding for typical cell sizes and time steps.« less

Authors:
 [1];  [1];  [2];  [1];  [1];  [3];  [4];  [1]
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  1. Univ. of California, Los Angeles, CA (United States)
  2. SLAC National Accelerator Lab., Menlo Park, CA (United States)
  3. Beijing Normal Univ. (China)
  4. Univ. de Lisboa, Lisbon (Portugal); ISCTE - Instituto Univ. de Lisboa, Lisbon (Portugal)
Publication Date:
Research Org.:
SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
OSTI Identifier:
1767939
Alternate Identifier(s):
OSTI ID: 1659553
Grant/Contract Number:  
AC02-76SF00515; SC0010064; SC0019010; 1806046
Resource Type:
Accepted Manuscript
Journal Name:
Computer Physics Communications
Additional Journal Information:
Journal Volume: 258; Journal ID: ISSN 0010-4655
Publisher:
Elsevier
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Relativistic charged particle; Particle-laser interaction; Maxwell solver; Finite-difference time domain; Particle-in-cell (PIC) algorithm

Citation Formats

Li, Fei, Miller, Kyle G., Xu, Xinlu, Tsung, Frank S., Decyk, Viktor K., An, Weiming, Fonseca, Ricardo A., and Mori, Warren B. A new field solver for modeling of relativistic particle-laser interactions using the particle-in-cell algorithm. United States: N. p., 2020. Web. doi:10.1016/j.cpc.2020.107580.
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Li, Fei, Miller, Kyle G., Xu, Xinlu, Tsung, Frank S., Decyk, Viktor K., An, Weiming, Fonseca, Ricardo A., & Mori, Warren B. A new field solver for modeling of relativistic particle-laser interactions using the particle-in-cell algorithm. United States. https://doi.org/10.1016/j.cpc.2020.107580
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Li, Fei, Miller, Kyle G., Xu, Xinlu, Tsung, Frank S., Decyk, Viktor K., An, Weiming, Fonseca, Ricardo A., and Mori, Warren B. Sat . "A new field solver for modeling of relativistic particle-laser interactions using the particle-in-cell algorithm". United States. https://doi.org/10.1016/j.cpc.2020.107580. https://www.osti.gov/servlets/purl/1767939.
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@article{osti_1767939,
title = {A new field solver for modeling of relativistic particle-laser interactions using the particle-in-cell algorithm},
author = {Li, Fei and Miller, Kyle G. and Xu, Xinlu and Tsung, Frank S. and Decyk, Viktor K. and An, Weiming and Fonseca, Ricardo A. and Mori, Warren B.},
abstractNote = {A customized finite-difference field solver for the particle-in-cell (PIC) algorithm that provides higher fidelity for wave-particle interactions in intense electromagnetic waves is presented. In many problems of interest, particles with relativistic energies interact with intense electromagnetic fields that have phase velocities near the speed of light. Numerical errors can arise due to (1) dispersion errors in the phase velocity of the wave, (2) the staggering in time between the electric and magnetic fields and between particle velocity and position and (3) errors in the time derivative in the momentum advance. Errors of the first two kinds are analyzed in detail. It is shown that by using field solvers with different -space operators in Faraday’s and Ampere’s law, the dispersion errors and magnetic field time-staggering errors in the particle pusher can be simultaneously removed for electromagnetic waves moving primarily in a specific direction. Here, the new algorithm was implemented into Osiris by using customized higher-order finite-difference operators. Schemes using the proposed solver in combination with different particle pushers are compared through PIC simulation. It is shown that the use of the new algorithm, together with an analytic particle pusher (assuming constant fields over a time step), can lead to accurate modeling of the motion of a single electron in an intense laser field with normalized vector potentials, eA / mc2, exceeding for typical cell sizes and time steps.},
doi = {10.1016/j.cpc.2020.107580},
journal = {Computer Physics Communications},
number = ,
volume = 258,
place = {United States},
year = {Sat Aug 29 00:00:00 EDT 2020},
month = {Sat Aug 29 00:00:00 EDT 2020}
}
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https://doi.org/10.1016/j.cpc.2020.107580
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