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Study of nonlinear kinetic effects in Stimulated Raman Scattering using semiLagrangian Vlasov codes

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Title: Study of nonlinear kinetic effects in Stimulated Raman Scattering using semiLagrangian Vlasov codes


1
Study of nonlinear kinetic effects in Stimulated
Raman Scattering using semi-Lagrangian Vlasov
codes
  • Alain Ghizzo1, P. Bertrand1, T.W. Johnston2,
  • M. Albrecht-Marc1,T. Reveillé1
  • 1. LPMIA, CNRS-UMR7040, Université Henri
    Poincaré, Nancy,
  • BP 239, F-54506 Vandoeuvre, France
  • 2. I.N.R.S. Energie et Matériaux, Varennes,
    Québec
  • Alain.Ghizzo_at_lpmi.uhp-nancy.fr

2
Topics
  • Vlasov plasmas
  • Vlasov codes and PIC codes
  • Application I Resonant wave particle interaction
  • Application II SRS-B in optical mixing
  • Conclusions

3
Topics
  • Vlasov plasmas
  • Vlasov codes and PIC codes
  • Application I Resonant wave particle interaction
  • Application II SRS-B in optical mixing
  • Conclusions

4
Introduction
  • . Vlasov models have long been used to study
    collisionless plasmas.
  • Vlasov codes powerful tool for studying in
    details the particle dynamics due to very fine
    resolution in phase space.
  • Questions for applications
  • Need for a kinetic model?
  • PIC or Vlasov simulation?

5
Vlasov plasmas collective effects
6
Topics
  • Vlasov plasmas
  • Vlasov codes and PIC codes
  • Application I Resonant wave particle interaction
  • Application II SRS-B in optical mixing
  • Conclusions

7
Comparison PIC-Vlasov (1)
8
Comparison PIC-Vlasov (2)
9
Comparison PIC-Vlasov (3)
Prefer PIC
Prefer Vlasov
10
Topics
  • Vlasov plasmas
  • Vlasov codes and PIC codes
  • Application I Resonant wave particle interaction
  • Application II SRS-B in optical mixing
  • Conclusions

11
Stimulated Raman Scattering
12
SRS 3 mode coupling
13
Three mode coupling a fluid description
14
Three mode coupling a fluid description
15
Three mode coupling a fluid description
16
Time evolution pump scattered
Check the fluid predictions against a fully
kinetic Vlasov simulation
17
Time evolution pump plasma
Poor Conservation !
18
Phase space portraits (1)
19
Phase space portraits (2)
20
Phase space portraits (3)
21
Accounting for  non fluid  particles
22
Topics
  • Vlasov plasmas
  • Vlasov codes and PIC codes
  • Application I Resonant wave particle interaction
  • Application II SRS-B in optical mixing
  • Conclusions

23
SRS-B in the  kinetic  regime (1)
  • SRS-B reflectivity presents a bursting behavior
  • Nonlinear frequency shift - G.J. Morales and T.M.
    ONeil, PRL 28, 417 (1972) -

24
SRS-B in the  kinetic  regime (2)
25
Topics
  • Vlasov plasmas
  • Vlasov codes and PIC codes
  • Application I Resonant wave particle interaction
  • Application II SRS-B in optical mixing
  • Conclusions

26
Conclusions
  • Vlasov codes as compared to PIC codes
  • lack of numerical noise
  • good resolution in phase space
  • provided the dimension of velocity space is as
    low as possible.
  • Kinetic effects in plasmas allow more phenomena
    than are found using only fluid theory with  ad
    hoc  kinetic damping.
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