On Spectroscopic Diagnostics of Hot Optically Thin Plasmas

  • A. M. Urnov
  • F. Goryaev
  • S. Oparin
Chapter
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 68)

Abstract

X-ray and extreme ultraviolet (XUV) emission spectra of highly charged ions in hot plasmas contain diverse information on both elementary processes and the ambient medium. The theoretical analysis of spectra and spectral images of laboratory and astrophysical sources of short-wave radiation, based on the modern methods of atomic data calculations of spectral and collisional ion characteristics, allows one to determine various physical parameters of the emitting plasma. Here, we consider and discuss some basic principles on which the spectroscopic diagnostics of hot optically thin plasmas emitting XUV spectra is based. In order to obtain information about the internal structure of a physical system under study, one generally needs to solve inverse problems for determining the physical conditions in the plasma. Using concepts from the probability theory, we formulate the spectral inverse problem in the framework of the probabilistic approach to be used for the temperature diagnostics of hot plasma structures. We then demonstrate applications of our diagnostics methods to hot plasmas in laboratory (tokamak plasma) and astrophysical (solar corona) conditions.

Keywords

Atomic Data Emission Flux Spectral Inverse Problem Tokamak Plasma Differential Emission Measure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

We would like to thank our colleague Vladimir Slemzin for fruitfully collaborating on the subject of the present review. We also gratefully acknowledge the financial support from the European Commission Programme under the grant agreement 218816 (FP-7 SOTERIA project) and the Russian Foundation for Basic Research (project 11-02-01079-a)—Programme of the Presidium of the Russian Academy of Sciences “Plasma Processes in the Solar System.”

References

  1. 1.
    S.R. Pottasch, Space Sci. Rev. 3, 816 (1964)Google Scholar
  2. 2.
    K.J.H. Phillips, U. Feldman, E. Landi, Ultraviolet and X-ray Spectroscopy of the Solar Atmosphere (Cambridge University Press, New York, 2008)Google Scholar
  3. 3.
    K.P. Dere, E. Landi, H.E. Mason, B.C. Monsignori Fossi, P.R. Young, Astron. Astrophys. Suppl. Ser. 125, 149 (1997)Google Scholar
  4. 4.
    E. Landi, G. Del Zanna, P.R. Young, K.P. Dere, H.E. Mason, M. Landini, Astrophys. J. Suppl. Ser. 162, 261 (2006)Google Scholar
  5. 5.
    J.T. Jefferies, F.Q. Orrall, J.B. Zirker, Sol. Phys. 22, 307 (1972)Google Scholar
  6. 6.
    I.J.D. Craig, J.C. Brown, Astron. Astrophys. 49, 239 (1976)Google Scholar
  7. 7.
    J.C. Brown, B.N. Dwivedi, Y.M. Almleaky, P.A. Sweet, Astron. Astrophys. 249, 277 (1991)Google Scholar
  8. 8.
    A.M. Urnov, S.V. Shestov, S.A. Bogachev, F.F. Goryaev, I. Zhitnik, S.V. Kuzin, Astron. Lett. 33, 396 (2007)Google Scholar
  9. 9.
    F.F. Goryaev, S. Parenti, A.M. Urnov, S.N. Oparin, J.-F. Hochedez, F. Reale, Astron. Astrophys. 523, id.A44 (2010)Google Scholar
  10. 10.
    I.J.D. Craig, J.C. Brown, Inverse Problems in Astronomy (Hilger, Bristol, 1986)Google Scholar
  11. 11.
    A. Tarantola, Inverse Problem Theory and Methods for Model Parameter Estimation (SIAM, Philadelphia, 2005)Google Scholar
  12. 12.
    E.L. Kosarev, Inverse Probl. 6, 55 (1990)Google Scholar
  13. 13.
    V.I. Gelfgat, E.L. Kosarev, E.R. Podolyak, Comp. Phys. Commun. 74, 349 (1993)Google Scholar
  14. 14.
    W.H. Richardson, JOSA 62, 55 (1972)Google Scholar
  15. 15.
    I.A. Zhitnik, V.V. Korneev, V.V. Krutov, S.N. Oparin, A.M. Urnov, TrSSR (Trudy Akademiia Nauk SSSR Fizicheskii Institut) 179, 39 (1987)Google Scholar
  16. 16.
    F.F. Goryaev, A.M. Urnov, G. Bertschinger, A.G. Marchuk, H.-J. Kunze, J. Dubau, JETP Lett. 78, 363 (2003)Google Scholar
  17. 17.
    A.M. Urnov, F.F. Goryaev, G. Bertschinger, H.-J. Kunze, O. Marchuk, JETP Lett. 85, 374 (2007)Google Scholar
  18. 18.
    I.A. Zhitnik, S.V. Kuzin, A.M. Urnov, S.A. Bogachev, F.F. Goryaev, S.V. Shestov, Sol. Sys. Res. 40, 272 (2006)Google Scholar
  19. 19.
    P. Beiersdorfer, A.L. Osterheld, T.W. Phillips, M. Bitter, K.W. Hill, S. von Goeler, Phys. Rev. E 52, 1980 (1995)Google Scholar
  20. 20.
    A.J. Smith, P. Beiersdorfer, V. Decaux, K. Widmann, K.J. Reed, M.H. Chen, Phys. Rev. A 54, 462 (1996)Google Scholar
  21. 21.
    O. Marchuk, G. Bertschinger, A. Urnov, F. Goryaev, N.R. Badnell, A.D. Whiteford, J. Plasma Fusion Res. Ser. 7, 274 (2006)Google Scholar
  22. 22.
    O. Marchuk, M. Tokar, G. Bertschinger, A. Urnov, H.-J. Kunze, D. Pilipenko, D. Kalupin, D. Reiter, A. Pospieszczyk, M. Biel, M. Goto, F. Goryaev, Plasma Phys. Contr. Fusion 48, 1633 (2006)Google Scholar
  23. 23.
    A.H. Gabriel, Mon. Not. R. Astron. Soc. 160, 99 (1972)Google Scholar
  24. 24.
    G. Bertschinger, W. Biel, the TEXTOR-94 Team, O. Herzog, J. Weinheimer, H.-J. Kunze, M. Bitter, Phys. Scr. T 83, 132 (1999)Google Scholar
  25. 25.
    J. Weinheimer, I. Ahmad, O. Herzog, H.-J. Kunze, G. Bertschinger, W. Biel, G. Borchert, M. Bitter, Rev. Sci. Instrum. 72, 2566 (2001)Google Scholar
  26. 26.
    G. Bertschinger, O. Marchuk, in High-temperature plasmas diagnostics by X-ray spectroscopy in the low density limit, ed. by R.E.H. Clark, D.H. Reiter. Nuclear Fusion Research (Springer, Berlin, 2005), pp. 183–199Google Scholar
  27. 27.
    M.Yu. Kantor, A.J.H. Donné, R. Jaspers, H.J. van der Meiden, TEXTOR Team, Plasma Phys. Contr. Fusion 51, 055002 (2009)Google Scholar
  28. 28.
    V.P. Shevelko, L.A. Vainshtein, Atomic Physics for Hot Plasmas(IOP Publishing, Bristol, 1993)Google Scholar
  29. 29.
    F.F. Goryaev, A.M. Urnov, and L.A. Vainshtein, ArXiv, physics/0603164 (2006)Google Scholar
  30. 30.
    J.E. Rice, K.B. Fournier, U.I. Safronova, J.A. Goetz, S. Gutmann, A.E. Hubbard, J. Irby, B. LaBombard, E.S. Marmar, J.L. Terry, New J. Phys. 1, 19 (1999)Google Scholar
  31. 31.
    S.V. Kuzin, I.A. Zhitnik, A.A. Pertsov, V.A. Slemzin, A.V. Mitrofanov, A.P. Ignatiev, V.V. Korneev, V.V. Krutov, I.I. Sobelman, E.N. Ragozin, R.J. Thomas, J. X-ray Sci. Technol. 7, 233 (1997)Google Scholar
  32. 32.
    I. Zhitnik, S. Kuzin, A. Afanas’ev, O. Bugaenko, A. Ignat’ev, V. Krutov, A. Mitrofanov, S. Oparin, A. Pertsov, V. Slemzin, N. Sukhodrev, A. Urnov, Adv. Space Res. 32, 473 (2003a)Google Scholar
  33. 33.
    I.A. Zhitnik, O.I. Bugaenko, A.P. Ignat’ev, V.V. Krutov, S.V. Kuzin, A.V. Mitrofanov, S.N. Oparin, A.A. Pertsov, V.A. Slemzin, A.I. Stepanov, A.M. Urnov, Mon. Not. R. Astron. Soc. 338, 67 (2003b)Google Scholar
  34. 34.
    I. Zhitnik, S. Kuzin, O. Bugaenko, A. Ignat’ev, V. Krutov, D. Lisin, A. Mitrofanov, S. Oparin, A. Pertsov, V. Slemzin, A. Urnov, Adv. Space Res. 32, 2573 (2003c)Google Scholar
  35. 35.
    S.V. Shestov, S.A. Bozhenkov, I.A. Zhitnik, S.V. Kuzin, A.M. Urnov, I.L. Beigman, F.F. Goryaev, I.Yu. Tolstikhina, Astron. Lett. 34, 33 (2008)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • A. M. Urnov
  • F. Goryaev
    • 1
  • S. Oparin
    • 2
  1. 1.P.N. Lebedev Physical InstituteMoscowRussia
  2. 2.P.N. Lebedev Physical InstituteMoscowRussia

Personalised recommendations