skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Pseudospectral Maxwell solvers for an accurate modeling of Doppler harmonic generation on plasma mirrors with particle-in-cell codes

Abstract

With the advent of petawatt class lasers, the very large laser intensities attainable on target should enable the production of intense high-order Doppler harmonics from relativistic laser-plasma mirror interactions. At present, the modeling of these harmonics with particle-in-cell (PIC) codes is extremely challenging as it implies an accurate description of tens to hundreds of harmonic orders on a broad range of angles. In particular, we show here that due to the numerical dispersion of waves they induce in vacuum, standard finite difference time domain (FDTD) Maxwell solvers employed in most PIC codes can induce a spurious angular deviation of harmonic beams potentially degrading simulation results. This effect was extensively studied and a simple toy model based on the Snell-Descartes law was developed that allows us to finely predict the angular deviation of harmonics depending on the spatiotemporal resolution and the Maxwell solver used in the simulations. Our model demonstrates that the mitigation of this numerical artifact with FDTD solvers mandates very high spatiotemporal resolution preventing realistic three-dimensional (3D) simulations even on the largest computers available at the time of writing. Finally, we finally show that nondispersive pseudospectral analytical time domain solvers can considerably reduce the spatiotemporal resolution required to mitigatemore » this spurious deviation and should enable in the near future 3D accurate modeling on supercomputers in a realistic time to solution.« less

Authors:
 [1];  [2];  [1];  [1]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States); CEA Saclay, Gif-sur-Yvette (France)
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC)
OSTI Identifier:
1582612
Alternate Identifier(s):
OSTI ID: 1389153
Grant/Contract Number:  
[AC02-05CH11231; AC02-06CH11357]
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review E
Additional Journal Information:
[ Journal Volume: 96; Journal Issue: 3]; Journal ID: ISSN 2470-0045
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; high intensity laser-plasma interactions; high-harmonic generation; particle-in-cell methods

Citation Formats

Blaclard, G., Vincenti, H., Lehe, R., and Vay, J. L. Pseudospectral Maxwell solvers for an accurate modeling of Doppler harmonic generation on plasma mirrors with particle-in-cell codes. United States: N. p., 2017. Web. doi:10.1103/physreve.96.033305.
Blaclard, G., Vincenti, H., Lehe, R., & Vay, J. L. Pseudospectral Maxwell solvers for an accurate modeling of Doppler harmonic generation on plasma mirrors with particle-in-cell codes. United States. doi:10.1103/physreve.96.033305.
Blaclard, G., Vincenti, H., Lehe, R., and Vay, J. L. Mon . "Pseudospectral Maxwell solvers for an accurate modeling of Doppler harmonic generation on plasma mirrors with particle-in-cell codes". United States. doi:10.1103/physreve.96.033305. https://www.osti.gov/servlets/purl/1582612.
@article{osti_1582612,
title = {Pseudospectral Maxwell solvers for an accurate modeling of Doppler harmonic generation on plasma mirrors with particle-in-cell codes},
author = {Blaclard, G. and Vincenti, H. and Lehe, R. and Vay, J. L.},
abstractNote = {With the advent of petawatt class lasers, the very large laser intensities attainable on target should enable the production of intense high-order Doppler harmonics from relativistic laser-plasma mirror interactions. At present, the modeling of these harmonics with particle-in-cell (PIC) codes is extremely challenging as it implies an accurate description of tens to hundreds of harmonic orders on a broad range of angles. In particular, we show here that due to the numerical dispersion of waves they induce in vacuum, standard finite difference time domain (FDTD) Maxwell solvers employed in most PIC codes can induce a spurious angular deviation of harmonic beams potentially degrading simulation results. This effect was extensively studied and a simple toy model based on the Snell-Descartes law was developed that allows us to finely predict the angular deviation of harmonics depending on the spatiotemporal resolution and the Maxwell solver used in the simulations. Our model demonstrates that the mitigation of this numerical artifact with FDTD solvers mandates very high spatiotemporal resolution preventing realistic three-dimensional (3D) simulations even on the largest computers available at the time of writing. Finally, we finally show that nondispersive pseudospectral analytical time domain solvers can considerably reduce the spatiotemporal resolution required to mitigate this spurious deviation and should enable in the near future 3D accurate modeling on supercomputers in a realistic time to solution.},
doi = {10.1103/physreve.96.033305},
journal = {Physical Review E},
number = [3],
volume = [96],
place = {United States},
year = {2017},
month = {9}
}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record

Citation Metrics:
Cited by: 4 works
Citation information provided by
Web of Science

Save / Share:

Works referenced in this record:

Attosecond lighthouses from plasma mirrors
journal, November 2012

  • Wheeler, Jonathan A.; Borot, Antonin; Monchocé, Sylvain
  • Nature Photonics, Vol. 6, Issue 12
  • DOI: 10.1038/nphoton.2012.284

A domain decomposition method for pseudo-spectral electromagnetic simulations of plasmas
journal, June 2013

  • Vay, Jean-Luc; Haber, Irving; Godfrey, Brendan B.
  • Journal of Computational Physics, Vol. 243
  • DOI: 10.1016/j.jcp.2013.03.010

Publisher’s Note: Relativistic Generation of Isolated Attosecond Pulses in a λ 3 Focal Volume [Phys. Rev. Lett. 92 , 063902 (2004)]
journal, February 2004


The PSTD algorithm: A time-domain method requiring only two cells per wavelength
journal, June 1997


Attosecond Lighthouses: How To Use Spatiotemporally Coupled Light Fields To Generate Isolated Attosecond Pulses
journal, March 2012


Novel methods in the Particle-In-Cell accelerator Code-Framework Warp
journal, January 2012


Optics in the relativistic regime
journal, April 2006

  • Mourou, Gerard A.; Tajima, Toshiki; Bulanov, Sergei V.
  • Reviews of Modern Physics, Vol. 78, Issue 2
  • DOI: 10.1103/RevModPhys.78.309

Characteristics of an envelope model for laser–plasma accelerator simulation
journal, January 2011

  • Cowan, Benjamin M.; Bruhwiler, David L.; Cormier-Michel, Estelle
  • Journal of Computational Physics, Vol. 230, Issue 1
  • DOI: 10.1016/j.jcp.2010.09.009

Optical properties of relativistic plasma mirrors
journal, March 2014

  • Vincenti, H.; Monchocé, S.; Kahaly, S.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms4403

Ultrarelativistic nanoplasmonics as a route towards extreme-intensity attosecond pulses
journal, October 2011


Compression of amplified chirped optical pulses
journal, December 1985


Theory of high-order harmonic generation in relativistic laser interaction with overdense plasma
journal, October 2006


An efficient and portable SIMD algorithm for charge/current deposition in Particle-In-Cell codes
journal, January 2017


Route to intense single attosecond pulses
journal, January 2006


Bright Multi-keV Harmonic Generation from Relativistically Oscillating Plasma Surfaces
journal, August 2007


Numerical methods for instability mitigation in the modeling of laser wakefield accelerators in a Lorentz-boosted frame
journal, July 2011

  • Vay, J. -L.; Geddes, C. G. R.; Cormier-Michel, E.
  • Journal of Computational Physics, Vol. 230, Issue 15
  • DOI: 10.1016/j.jcp.2011.04.003

High-order harmonic and attosecond pulse generation on plasma mirrors: basic mechanisms
journal, October 2010


High-Order Finite Differences and the Pseudospectral Method on Staggered Grids
journal, August 1990

  • Fornberg, Bengt
  • SIAM Journal on Numerical Analysis, Vol. 27, Issue 4
  • DOI: 10.1137/0727052

High harmonic generation in the relativistic limit
journal, July 2006

  • Dromey, B.; Zepf, M.; Gopal, A.
  • Nature Physics, Vol. 2, Issue 7
  • DOI: 10.1038/nphys338

Numerical solution of initial boundary value problems involving maxwell's equations in isotropic media
journal, May 1966


Plasma mirrors for ultrahigh-intensity optics
journal, April 2007

  • Thaury, C.; Quéré, F.; Geindre, J. -P.
  • Nature Physics, Vol. 3, Issue 6
  • DOI: 10.1038/nphys595

A high-accuracy realization of the Yee algorithm using non-standard finite differences
journal, June 1997

  • Cole, J. B.
  • IEEE Transactions on Microwave Theory and Techniques, Vol. 45, Issue 6
  • DOI: 10.1109/22.588615

High-accuracy Yee algorithm based on nonstandard finite differences: new developments and verifications
journal, September 2002


Complete characterization of a plasma mirror for the production of high-contrast ultraintense laser pulses
journal, February 2004


Prepulse energy suppression for high-energy ultrashort pulses using self-induced plasma shuttering
journal, January 1991

  • Kapteyn, Henry C.; Szoke, Abraham; Falcone, Roger W.
  • Optics Letters, Vol. 16, Issue 7
  • DOI: 10.1364/OL.16.000490

Short‐pulse laser harmonics from oscillating plasma surfaces driven at relativistic intensity
journal, September 1996

  • Lichters, R.; Meyer‐ter‐Vehn, J.; Pukhov, A.
  • Physics of Plasmas, Vol. 3, Issue 9
  • DOI: 10.1063/1.871619