Nonlinear theory of power transfer between multiple crossed laser beams in a flowing plasma

Physics of Plasmas

Volumn 5, Issue 5 PART 1, 1998, Pages 1461-1466

  Rose, Harvey A ^a   Ghosal, Sandip ^a  

^a LOS ALAMOS NATIONAL LABORATORY   (United States)

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Indexed keywords

EID: 0000354439     PISSN: 1070664X     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.872804     Document Type: Article

References (21)

1. J. Lindl, Phys. Plasmas 2, 3933 (1995).
2. W. L. Kruer, S. C. Wilks, B. B. Afeyan, and R. K. Kirkwood, Phys. Plasmas 3, 382 (1996).
3. R. K. Kirkwood, B. B. Afeyan, W. L. Kruer, B. J. MacGowan, J. D. Moody, D. S. Montgomery, D. M. Pennington, T. L. Weiland, and S. C. Wilks, Phys. Rev. Lett. 76, 2065 (1996).
4. Y. Kato and K. Mima, Appl. Phys. B: Photophys. Laser Chem. 29, 186 (1982).
5. H. A. Rose, Phys. Plasmas 3, 1709 (1996).
6. D. E. Hinkel, E. A. Williams, and C. H. Still, Phys. Rev. Lett. 77, 1298 (1996).
7. S. Ghosal and H. A. Rose, Phys. Plasmas 4, 2376 (1997).
8. S. Ghosal and H. A. Rose, Phys. Plasmas 4, 4189 (1997).
9. The various beams need not have the same value of F, accordingly the size of the Fourier disk for each beam may be different.
10. It is only necessary that the angle subtended by the subset of beams that actually cross in a given spatial region not be too large, and, of course, that the individual beam f/#'s be large.
11. Perhaps the most serious limitation of the steady-state assumption is that it may be destabilized by flow along the z direction near the self-focusing threshold. See A. Schmitt, Bull. Am. Phys. Soc. 40, 1824 (1995).
12. See Eq. (16d) in D. F. DuBois, D. R. Nicholson, and H. A. Rose, Phys. Fluids 28, 202 (1985).
13. See Eq. (38) of Ref. 5.
14. Actually, this is a generalization of the RPP result obtained in Ref. 7 because the beam spectrum is allowed to evolve.
15. This remark discounts the indirect effect of power transfer on beam deflection that follows from the increase of a single beam's deflection rate with its power.
16. This would be the case if the two beams and the hohlraum axis were in a plane and there was no azimuthal flow. If the radial flow is positive, then the inner cone gains power from the outer cone.
17. The somewhat arbitrary definition of a beam's power is to assign a mode's power to, e.g., beam one, if its Fourier space location is closer to the initial location of beam one's centroid.
18. H. A. Rose, Phys. Plasmas 2, 2216 (1995).
19. H. A. Rose and D. F. DuBois, Phys. Fluids B 5, 590 (1993).
20. c.
21. See the discussion of Fig. 16 in Ref. 5.