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Models of Nonlinear Propagation of Relativistically Intense Ultrashort Laser Pulses in Plasmas

  • Andrew V. Borovsky
  • Andrew L. Galkin
  • Oleg B. Shiryaev
  • Thierry Auguste
Part of the Springer Series on Atomic, Optical, and Plasma Physics book series (SSAOPP, volume 34)

Abstract

In this chapter, we examine a number of basic mathematical models of interactions of relativistically intense, ultrashort laser pulses with cold underdense plasmas. The general equations discussed in Chap. 2 are too complicated to treat directly to describe the nonlinear propagation of powerful laser radiation in plasmas (this would entail extremely massive computations and make it hardly possible to derive any analytical results); substantial model simplifications can stem from the fact that in plasmas obtained by ionization of gaseous targets, the laser pulse frequency is much greater than the plasma electron frequency. First, this circumstance makes it possible to average the equations describing the medium’s response to the laser pulse electromagnetic field, after which the fluid dynamics equations become much simpler. Second, the traditional nonlinear optics approach of introducing an envelope approximation appears productive in the powerful laser—plasma interactions theory as well. The electromagnetic field’s slow amplitude and fast phase can be introduced, assuming that this amplitude varies slowly on the laser radiation wavelength scale. As a result, the evolution of this amplitude is described by a nonlinear Schroedinger equation instead of the wave equation.

Keywords

Laser Pulse Plasma Wave Ultrashort Laser Pulse Nonlinear Propagation Inst Ability 
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.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Andrew V. Borovsky
    • 1
  • Andrew L. Galkin
    • 2
  • Oleg B. Shiryaev
    • 2
  • Thierry Auguste
    • 3
  1. 1.Automation and Control Systems LaboratoryIrkutskEnergo Power CompanyIrkutskRussia
  2. 2.General Physics Intitute of the Russian Academy of ScienceMoscowRussia
  3. 3.Commissariat à l’Energie AtomiqueDSM/DRECAM/SPAMGif-sur-Yvette CédexFrance

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