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Onset and saturation of backward stimulated Raman scattering of laser in trapping regime in three spatial dimensions

Phys. Plasmas 16, 113101 (2009); doi:10.1063/1.3250928

Published 2 November 2009

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L. Yin, B. J. Albright, H. A. Rose, K. J. Bowers, B. Bergen, D. S. Montgomery, J. L. Kline, and J. C. Fernández
Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA
A suite of three-dimensional (3D) VPIC [K. J. Bowers et al., Phys. Plasmas 15, 055703 (2008)] particle-in-cell simulations of backward stimulated Raman scattering (SRS) in inertial confinement fusion hohlraum plasma has been performed on the heterogeneous multicore supercomputer, Roadrunner, presently the world's most powerful supercomputer. These calculations reveal the complex nonlinear behavior of SRS and point to a new era of “at scale” 3D modeling of SRS in solitary and multiple laser speckles. The physics governing nonlinear saturation of SRS in a laser speckle in 3D is consistent with that of prior two-dimensional (2D) studies [L. Yin et al., Phys. Rev. Lett. 99, 265004 (2007)], but with important differences arising from enhanced diffraction and side loss in 3D compared with 2D. In addition to wave front bowing of electron plasma waves (EPWs) due to trapped electron nonlinear frequency shift and amplitude-dependent damping, we find for the first time that EPW self-focusing, which evolved from trapped particle modulational instability [H. A. Rose and L. Yin, Phys. Plasmas 15, 042311 (2008)], also exhibits loss of angular coherence by formation of a filament necklace, a process not available in 2D. These processes in 2D and 3D increase the side-loss rate of trapped electrons, increase wave damping, decrease source coherence for backscattered light, and fundamentally limit how much backscatter can occur from a laser speckle. For both SRS onset and saturation, the nonlinear trapping induced physics is not captured in linear gain modeling of SRS. A simple metric is described for using single-speckle reflectivities obtained from VPIC simulations to infer the total reflectivity from the population of laser speckles of amplitude sufficient for significant trapping-induced nonlinearity to arise. ©2009 American Institute of Physics
History: Received 29 April 2009; accepted 29 September 2009; published 2 November 2009
Permalink: http://link.aip.org/link/?PHPAEN/16/113101/1
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KEYWORDS and PACS

Keywords
PACS
  • 52.38.Bv
    Rayleigh scattering; stimulated Brillouin and Raman scattering in plasmas
  • 52.65.-y
    Plasma simulation
  • 52.57.-z
    Laser inertial confinement
  • 52.50.Jm
    Plasma production and heating by laser beams
  • 52.35.Py
    Plasma macroinstabilities (hydromagnetic)
  • 52.35.Mw
    Nonlinear phenomena: plasma waves, wave propagation and other interactions
  • YEAR: 2009

PUBLICATION DATA

ISSN:
1070-664X (print)   1089-7674 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (45)

  1. J. A. Paisner, E. M. Campbell, and W. J. Hogan, Fusion Technol. 26, 755 (1994). [Inspec]
  2. K. J. Bowers, B. J. Albright, L. Yin, B. Bergen, and T. J. T. Kwan, Phys. Plasmas 15, 055703 (2008).
  3. K. J. Bowers, B. J. Albright, B. Bergen, L. Yin, K. J. Barker, and D. J. Kerbyson, Proceedings of the ACM/IEEE Conference on Supercomputing, Austin, 2008 (IEEE, New York, 2008), pp. 1–11
  4. K. J. Bowers, B. J. Albright, L. Yin, W. Daughton, V. Roytershteyn, B. Bergen, and T. J. T. Kwan, J. Phys.: Conf. Ser. 180, 012055 (2009).
  5. Y. Kato, K. Mima, N. Miyanaga, S. Arinaga, Y. Kitagawa, M. Nakatsuka, and C. Yamanaka, Phys. Rev. Lett. 53, 1057 (1984).
  6. J. Garnier, Phys. Plasmas 6, 1601 (1999).
  7. J. L. Kline, D. S. Montgomery, B. Bezzerides, J. A. Cobble, D. F. DuBois, R. P. Johnson, H. A. Rose, L. Yin, and H. X. Vu, Phys. Rev. Lett. 94, 175003 (2005). [MEDLINE]
  8. J. L. Kline, D. S. Montgomery, L. Yin, D. F. DuBois, B. J. Albright, B. Bezzerides, J. A. Cobble, E. S. Dodd, D. F. DuBois, J. C. Fernández, R. P. Johnson, J. M. Kindel, H. A. Rose, H. X. Vu, and W. S. Daughton, Phys. Plasmas 13, 055906 (2006).
  9. S. Brunner and E. J. Valeo, Phys. Rev. Lett. 93, 145003 (2004). [ISI] [MEDLINE]
  10. H. X. Vu, L. Yin, D. F. DuBois, B. Bezzerides, and E. S. Dodd, Phys. Rev. Lett. 95, 245003 (2005). [MEDLINE]
  11. L. Yin, W. Daughton, B. Albright, B. Bezzerides, D. F. DuBois, J. M. Kindel, and H. X. Vu, Phys. Rev. E 73, 025401(R) (2006). [MEDLINE]
  12. L. Yin, W. Daughton, B. J. Albright, K. J. Bowers, D. S. Montgomery, J. L. Kline, J. C. Fernández, and Q. Roper, Phys. Plasmas 13, 072701 (2006).
  13. D. J. Strozzi, M. M. Shoucri, A. Bers, E. A. Williams, and A. B. Langdon, J. Plasma Phys. 72, 1299 (2006)
  14. D. J. Strozzi, E. A. Williams, A. B. Langdon, and A. Bers, Phys. Plasmas 14, 013104 (2007).
  15. G. J. Morales and T. M. O'Neil, Phys. Rev. Lett. 28, 417 (1972).
  16. L. Yin, B. J. Albright, K. J. Bowers, W. Daughton, and H. A. Rose, Phys. Rev. Lett. 99, 265004 (2007). [MEDLINE]
  17. L. Yin, B. J. Albright, K. J. Bowers, W. Daughton, and H. A. Rose, Phys. Plasmas 15, 013109 (2008).
  18. H. A. Rose, Phys. Plasmas 12, 012318 (2005).
  19. H. A. Rose and L. Yin, Phys. Plasmas 15, 042311 (2008).
  20. D. S. Montgomery, J. A. Cobble, J. C. Fernandez, R. J. Focia, R. P. Johnson, N. Renard-LeGalloudec, H. A. Rose, and D. A. Russell, Phys. Plasmas 9, 2311 (2002).
  21. J. L. Kline, D. S. Montgomery, L. Yin, R. A. Hardin, K. A. Flippo, T. Shimada, R. P. Johnson, and B. J. Albright, J. Phys.: Conf. Ser. 112, 022042 (2008).
  22. L. Yin, B. J. Albright, K. J. Bowers, J. L. Kline, D. S. Montgomery, K. A. Flippo, and H. A. Rose, J. Phys.: Conf. Ser. 112, 022033 (2008).
  23. C. K. Birdsall and A. B. Langdon, Plasma Physics via Computer Simulation (McGraw-Hill, New York, 1985).
  24. R. L. Berger, E. A. Williams, and A. Simon, Phys. Fluids B 1, 414 (1989).
  25. The utility of such a table diminishes if another process that may nonlinearly couple to SRS, such as laser light self-focusing, has a lower threshold.
  26. R. L. Berger, C. H. Still, E. A. Williams, and A. B. Langdon, Phys. Plasmas 5, 4337 (1998). [ISI]
  27. H. Jourdren, in AMR Methods, Theory and Applications, Notes in Computational Science and Engineering Vol. 41, edited by T. Plewa, T. Linde, and V. G. Weirs (Springer, New York, 2005).
  28. H. A. Rose, Bull. Am. Phys. Soc. 51, 69 (2006).
  29. D. S. Montgomery, R. J. Focia, H. A. Rose, D. A. Russell, J. A. Cobble, J. C. Fernndez, and R. P. Johnson, Phys. Rev. Lett. 87, 155001 (2001). [MEDLINE]
  30. T. O'Neil, Phys. Fluids 8, 2255 (1965).
  31. The 5×10−4 reflectivity is indicated by the cross for the lowest intensity case in the top frame in Fig. 2 Reflectivity is computed from total Poynting flux on the left simulation boundary without applying a filter to extract the SRS signal from the spectrum. This power includes Thomson scattering as well as reflected laser light from the nature of the Higand absorbing field boundary conditions used in VPIC (Ref. 2); Higand boundaries are only perfectly absorbing for photons with specific incidence angles with respect to the boundary normal; consequently, the right simulation boundary is unable to absorb completely the laser pulse.
  32. Bowing has been observed in 2D PIC simulations where electrostatic potential associated with a Langmuir wave (LW) has a Gaussian form transverse to the propagation direction of LW and the boundary conditions in the LW propagation direction are periodic [W. Daughton, private communication (2008)].
  33. D. A. Russell, D. F. DuBois, and H. A. Rose, Phys. Plasmas 6, 1294 (1999). [ISI]
  34. H. A. Rose, W. Daughton, L. Yin, and A. B. Langdon, “Intensity dependent waiting time for strong electron trapping events in the onset regime of speckle stimulated Raman scatter,” Phys. Plasmas (to be published).
  35. Generally, 2D gain analysis is problematic because of the logarithmic divergence of the integral in Eq. (3). We choose the 2D system length such that the speckle length evaluated along the axis of a 2D Gaussian speckle is the same as the 3D Gaussian speckle length evaluated in an arbitrarily long system. This ensures that as G0-->[infinity] and diffraction becomes a correction, G-->G0; this length is 1.43Lspeckle when the system width is 11 speckle diameters.
  36. H. A. Rose and D. F. DuBois, Phys. Rev. Lett. 72, 2883 (1994). [MEDLINE]
  37. P. Mounaix and L. Divol, Phys. Rev. Lett. 89, 165005 (2002). [ISI] [MEDLINE]
  38. P. Mounaix, P. Collet, and J. L. Lebowitz, Commun. Math. Phys. 264, 741 (2006). [Inspec]
  39. C. H. Still, R. L. Berger, A. B. Langdon, D. E. Hinkel, L. J. Suter, and E. A. Williams, Phys. Plasmas 7, 2023 (2000).
  40. D. E. Hinkel, D. A. Callahan, A. B. Langdon, S. H. Langer, C. H. Still, and E. A. Williams, Phys. Plasmas 15, 056314 (2008).
  41. D. J. Strozzi, E. A. Williams, D. E. Hinkel, D. H. Froula, R. A. London, and D. A. Callahan, Phys. Plasmas 15, 102703 (2008).
  42. E. Lefebvre, R. L. Berger, A. B. Langdon, B. J. MacGowan, J. E. Rothenberg, and E. A. Williams, Phys. Plasmas 5, 2701 (1998).
  43. H. A. Rose and D. F. DuBois, Phys. Fluids B 5, 590 (1993).
  44. S. Hüller, Ph. Mounaix, and V. T. Tikhonchuk, Phys. Plasmas 5, 3794 (1998). [ISI]
  45. Distortion of the speckles in the diffracting plasma can lead to “f/8 by f/22” speckles, very stretched out in one direction relative to the other. In this regard, they resemble more a 2D speckle [L. Suter, private communication (2009)].
  46. Weak scaling studies simultaneously increase the number of processors and the size of the simulation domain by the same factor; a problem is said to exhibit weak scaling if the time required to run the problem is independent of number of processors used. This is to be contrasted with strong scaling, which means that if a problem requires time t to run, the identical problem on N processors would take time t/N.
  47. B. J. Albright, W. Daughton, L. Yin, J. K. Bowers, J. L. Kline, D. S. Montgomery, and J. C. Fernández, J. Phys. IV 133, 253 (2006).