Applied Physics B

, Volume 81, Issue 1, pp 101–111 | Cite as

Gas phase diagnostics by laser-induced gratings I. theory

  • A. Stampanoni-Panariello
  • D. N. Kozlov
  • P. P RadiEmail author
  • B. Hemmerling


Electrostriction and collisional thermalization of absorbed laser energy are the two dominant mechanisms leading to the formation of laser-induced gratings (LIGs) in the gas phase. In this article the results of the theoretical investigations that have been achieved in the past ten years at the Paul Scherrer Institute on this issue are summarized and yield a comprehensive understanding of the underlying physical concepts. Furthermore, a study of the influence of various parameters, such as the alignment and the spatial intensity profile of the beams on the generated electrostrictive and thermal signal is presented for the first time to the authors’ knowledge. The variations of the refractive index responsible for the appearance of laser-induced gratings have been theoretically described by solving the linearized hydrodynamic equations. The contributions from electrostriction, as well as from instantaneous and slow relaxation of the absorbed radiation energy into heat is obtained. These expressions are employed for analysis of experimental data presented in the companion paper [1] which is devoted to the application of the technique for diagnostic purposes in the gas phase. Much effort has been undertaken in order to allow a straightforward physical interpretation of the experimental findings of the expressions presented here.


42.62.-b 43.35.+d 42.65.Es 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    A. Stampanoni-Panariello, D.N. Kozlov, P.P. Radi, B. Hemmerling, Appl. Phys. B (2005), DOI 10.1007/s00340-005-1853-yGoogle Scholar
  2. 2.
    H.J. Eichler, P. Günter, D.W. Pohl, Laser Induced Dynamic Gratings (Springer, Berlin, 1986)Google Scholar
  3. 3.
    I.L. Fabelinskii, Molecular Scattering of Light (Plenium Press, New York, 1968)Google Scholar
  4. 4.
    A.C. Stampanoni-Panariello, B. Hemmeling, W. Hubschmid, Phys. Rev. A 51, 655 (1995)Google Scholar
  5. 5.
    W. Hubschmid, B. Hemmerling, A. Stampanoni-Panariello, J. Opt. Soc. Am. B12, 1850 (1995)Google Scholar
  6. 6.
    W. Hubschmid, B. Hemmerling, Chem. Phys. 259, 109 (2000)CrossRefGoogle Scholar
  7. 7.
    A. Stampanoni Panariello, Laser-Induced Gratings in the Gas Phase: Formation Mechanisms and Applications for Diagnostics, Series in Quantum Electronics 31 (Hartung-Gorre Verlag, 2003)Google Scholar
  8. 8.
    A.E. Siegman, JOSA 67, 545 (1977)Google Scholar
  9. 9.
    H. Latzel, T. Dreier, M. Giorgi, R. Fantoni, Ber. Bunsenges. Phys. Chem. 101, 1065 (1997)Google Scholar
  10. 10.
    R.W. Boyd, Nonlinear Optics (Academic Press, New York, 1992)Google Scholar
  11. 11.
    P.H. Paul, R.L. Farrow, P.M. Danehy, J. Opt. Soc. Am. B12, 384 (1995)Google Scholar
  12. 12.
    B. Hemmerling, D.N. Kozlov, Chem. Phys 291, 213 (2003)CrossRefGoogle Scholar
  13. 13.
    F. Hanser, W. Koller, F. Schürrer, Phys. Rev. E 61, 2065 (2000)Google Scholar
  14. 14.
    J.H. Grinstead, P.F. Barker, Phys. Rev. Letts. 85, 1222 (2000)CrossRefGoogle Scholar
  15. 15.
    A.C. Stampanoni-Panariello, B. Hemmerling, W. Hubschmid, Appl. Phys. B 67, 125 (1998)CrossRefGoogle Scholar
  16. 16.
    T.P. Hughes, Plasmas and Laser Light (Adam Hilger, 1975)Google Scholar
  17. 17.
    G. Bekefi (ed.), Principles of Laser Plasmas (Wiley, 1976)Google Scholar
  18. 18.
    D.N. Kozlov, B. Hemmerling, A.C. Stampanoni-Panariello, Appl. Phys. B 71, 585 (2000)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2005

Authors and Affiliations

  • A. Stampanoni-Panariello
    • 1
  • D. N. Kozlov
    • 2
  • P. P Radi
    • 3
    Email author
  • B. Hemmerling
    • 3
  1. 1.Institute for Quantum ElectronicsZürichSwitzerland
  2. 2.A.M. Prokhorov General Physics InstituteMoscowRussia
  3. 3.Paul Scherrer InstituteVilligenSwitzerland

Personalised recommendations